=Paper= {{Paper |id=Vol-3834/paper102 |storemode=property |title=Greatest Hits Versus Deep Cuts: Exploring Variety in Set-lists Across Artists and Musical Genres |pdfUrl=https://ceur-ws.org/Vol-3834/paper102.pdf |volume=Vol-3834 |authors=Edward Abel,Andrew Goddard |dblpUrl=https://dblp.org/rec/conf/chr/AbelG24 }} ==Greatest Hits Versus Deep Cuts: Exploring Variety in Set-lists Across Artists and Musical Genres== https://ceur-ws.org/Vol-3834/paper102.pdf
                                Greatest Hits Versus Deep Cuts: Exploring Variety in
                                Set-lists Across Artists and Musical Genres
                                Edward Abel1,∗ , Andrew Goddard2
                                1
                                    University of Southern Denmark, Denmark
                                2
                                    Independent Researcher


                                              Abstract
                                              Live music concert analysis provides an opportunity to explore cultural and historical trends. The art
                                              of set-list construction, of which songs to play, has many considerations for an artist, and the notion
                                              of how much variety different artists play is an interesting topic. Online communities provide rich
                                              crowd-sourced encyclopaedic data repositories of live concert set-list data, facilitating the potential for
                                              quantitative analysis of live music concerts. In this paper, we explore data acquisition and processing of
                                              musical artists’ tour histories and propose an approach to analyse and explore the notion of variety, at
                                              individual tour level, at artist career level, and for comparisons between a corpus of artists from different
                                              musical genres. We propose notions of a shelf and a tail as a means to help explore tour variety and
                                              explore how they can be utilised to help define a single metric of variety at tour level, and artist level.
                                              Our analysis highlights the wide diversity among artists in terms of their inclinations toward variety,
                                              whilst correlation analysis demonstrates how our measure of variety remains robust across differing
                                              artist attributes, such as the number of tours and show lengths.

                                              Keywords
                                              computational musicology, statistical music analysis, set-list composition, music information retrieval




                                1. Introduction
                                Live music experiences offer a unique glimpse into society and have significant cultural impact
                                [6]. They have also become a crucial source of revenue for artists in the streaming era [17]. Con-
                                structing live music set-lists involves several considerations for an artist, such as catering to
                                different types of fans with varying expectations and managing the trade-offs between these
                                expectations [26]. Artists must also consider how performing specific songs or covers could at-
                                tract more media attention than the concert might otherwise receive [16, 24]. The implications
                                of a set-list now extend beyond just the audience in attendance in the venue, with artists like
                                Bruce Springsteen offering the ability to buy and stream every single show from current and
                                previous tours [15], while bands like Metallica1 and Pearl Jam2 provide numerous ofÏcial live
                                recordings of their performances. In addition, live shows’ set-lists have been shown to poten-


                                CHR 2024: Computational Humanities Research Conference, December 4 – 6, 2024, Aarhus, Denmark.
                                ∗
                                 Corresponding author.
                                £ edabelcs@gmail.com (E. Abel); bossfansheff@gmail.com (A. Goddard)
                                ç www.edabel.co.uk (E. Abel)
                                ȉ 0000-0002-3694-5116 (E. Abel); 0000-0001-7384-0252 (A. Goddard)
                                            © 2024 Copyright for this paper by its authors. Use permitted under Creative Commons License Attribution 4.0 International (CC BY 4.0).
                                1
                                  https://www.livemetallica.com/
                                2
                                  https://pearljam.com/music/bootlegs




                                                                                                             802
CEUR
                  ceur-ws.org
Workshop      ISSN 1613-0073
Proceedings
tially impact and influence listening behaviour of an artist’s fans regarding non-live material
[30].
   The process of set-list creation varies, with some artists meticulously planning their sets in
advance, while others prefer to make more spontaneous decisions based on the energy and
reactions of the crowd during the show. Getting the right balance of set-list variety is crucial.
Artists may face backlash if their set-lists are perceived as too formulaic and lacking in variety.
For example, during Bruce Springsteen’s 2023 tour, fans criticised performances for being too
similar night after night, leading band members to defend their choices on social media [25].
Conversely, there is a risk of alienating fans by including too many unexpected songs at the
expense of beloved greatest hits, as seen by some fan’s reactions to recent Bob Dylan shows
[13], or by altering hit songs too much from their album versions, as seen by fan frustrations at
recent Arctic Monkeys’ shows [7]. Constructing a set list involves navigating diverse expecta-
tions, and the degree of variety in an artist’s performances is an intriguing topic with broader
applications, such as historical live performance recommender systems [1].
   In this paper, we explore the data acquisition and processing of musical artists’ tour histories,
and propose an approach to explore variety, at individual tour level, artist career level, and for
comparisons between a corpus of artists. For this, we propose notions of a shelf and a tail, as
a means to investigate and explore tours’ variety and properties, and explore how they can be
used to quantify variety at tour level and artist level. Additionally, our approach explores the
impact of cover songs upon variety, and explores variety comparisons across musical genres.
   Through analysing many artists, we highlight the wide range of artist variety levels, from
those who tend to focus more on greatest hits to those who perform more diverse shows fea-
turing deep cuts, and everything in between. Additional correlation analysis of our concept of
variety explores how our measure remains robust across artists with differing characteristics,
such as the number of tours or average show lengths. For more information about the project
and its data, see the project’s GitHub repository,3 and to interactively explore the data and the
proposed approach, see the project’s Interactive Web App4 .
   The rest of the paper is structured as follows: Section 2 covers background literature, Section
3 details our approach, and Section 4 provides conclusions.


2. Background
Work has explored live music performance exploring performer or audience psychology and
touching on how set-lists impact this, such as in terms of presence and representation within
shows and set-lists [27], through measuring value of live music as a motivation scale [23],
and exploring how the set-list and beyond has a bearing on an artist’s impact as part of their
stage success [10]. Other work has explored live music performances from the perspective of
music theory, such as work defining performance parameters in relation to how performances
bring compositions to life through variations in timing and dynamics and its impact on listener
perception [19], and work exploring how composers’ choices in tones, intervals, and harmonies
influence stylistic music changes over time [22].

3
    https://github.com/EdAbel/setlist-variety
4
    www.edabel.co.uk/setlist-variety




                                                803
   Various work exploring live music performance taking a more quantitative approach have
focused on an in-depth analysis of a single artist. Work has explored the band The Grateful
Dead, examining the band’s live recordings over three decades to analyse the performances in
relation to cultural trends in music and to investigate how the performances of the band change
over time [33]. Others have analysed The Grateful Dead’s live concerts from 1972 to 1995 in
comparison to listening habits outside of concerts [30], highlighting how there are correlations
between live set-lists and home listening. Work focusing on the artist Bruce Springsteen, has
explored his live performances and set-lists from the perspective of examining how set-list
analysis can provide inclinations about tensions between commercial considerations for play-
ing new album material and playing expected but older hits [2]. Bob Dylan is another artist
work has focused upon, such as a study of Bob Dylan’s set-lists from the 1960s to the 2020 that
investigates his approach to performing, exploring how he curates a show and how this in turn
creates a meta-narrative [8].
   Limited studies have looked to compare tour and set-lists for multiple artists. The Music &
Entertainment publication Consequence set out and discussed the ”25 Best Rock Acts with the
most Unique set-lists” [31]. Within such articles, although there is an implication of a focus,
here on the acts whose shows define the word unique, the methodology involved in compiling
such a list is obscured, and so therefore it is difÏcult to assess.
   Some recent discourse has explored how the make up of fan communities of artists such
as Taylor Swift and The Grateful Dead may share surprising similarities, despite their differ-
ent musical styles, and the impact this can have on further similarities between performance
set-lists [5]. The notion of a comparison between Taylor Swift and The Grateful Dead per-
formances has been further explored, along with a limited number of other artists, in terms
of unique songs [11]. Focusing on considerations of the notion of special songs, analysis of
set-lists from individual tours for different artists is carried out, to explore the prominence
of unique (and quite unique) song occurrence rates. Comparisons highlight how The Grate-
ful Dead is seen as a very varied artist compared to Taylor Swift, when considering variety
only from the perspective of unique special ”surprise” songs. In this analysis, only individual
tours are considered, which may result in an unrepresentative view of an artist’s overall career.
Additionally, the methodology favours artists with longer tours and longer sets.
   The metric Consecutive Set Similarity (CSS) has been proposed to look to measure variety
for an artist [20]. Here, an artist’s career of set-lists are arranged in sequence and each set-list is
compared to the previous set-list in terms of the amount of different songs, resulting in a value
of 1 if the the set-list is identical to the previous set, and -1 if it is completely different. From this,
an overall average is derived for each artist, from which comparisons and clustering of different
artists can be performed [28]. The measure has a very narrow focus due to only considering
two shows at a time, and so will consider oscillating changes of songs that are played frequently
but not every night as signalling high variety. Moreover, it does not consider information such
as when one tour ends and another begins (likely to signal a significant change in set-lists,
which may in turn favour artists with many small tours over a long period).
   Some coverage has highlighted how artists themselves explore the art of set-list curation,
and the considerations they have for variety. During a tour that contained over 800 shows the
band Radiohead made a conscious choice to ensure every show was unique and to never have a
repeating set-list. The band would curate the set-lists daily and emphasised the importance of




                                                   804
Figure 1: Data Pipeline Stages of our Approach


variety, contrasting their approach with other artist’s that play identical sets nightly [21]. More
recently, it has been claimed that the band Metallica look to customise concert set-lists based
on local Spotify data (and local radio trends), to look to cater to localised fans’ preferences, and
to help increase show diversity [29].


3. Our Approach
In our approach, raw artist tour data is first collected and processed, then utilized in various
stages of analysis, as illustrated in Figure 1. Communities such as MusicBrainz5 and Setlist.fm6
provide extensive crowd-sourced encyclopaedic data on musical artists and live concert set-lists.
The following sub-section outlines our data acquisition process, detailing how these sources
were leveraged to obtain the data used for our analysis.

3.1. Data Acquisition
Given a set of music artist names, we acquire tour details, and data for each tour of each artist,
and store the data as depicted in the data model in Figure 2. For each artist name, they can
be uniquely identified via MusicBrainz Identifiers (MBIDs), which is a universal unambiguous
standard artist identification.7 Through calls to the Music Brainz API,8 the MBID for each artist
name is acquired, along with additional Music Brainz artist information including their Gen-

5
  https://musicbrainz.org/
6
  https://www.setlist.fm
7
  https://musicbrainz.org/doc/MusicBrainz_Identifier
8
  https://musicbrainz.org/doc/MusicBrainz_API (utilising   the   musicbrainz   API   wrapper   R   package   -
  https://github.com/dmi3kno/musicbrainz




                                                    805
Table 1
Genre Mappings
    General Genre                  (Specific) Genre
    Rock                           Rock, Hard Rock, Pop Rock, Southern Rock, Gothic Rock, Comedy
                                   Rock, Blues Rock, Rap Rock
    Alternative                    Alternative Rock, Indie Rock, Post-Rock, Dance-Punk, Garage Rock, In-
                                   die Pop, Britpop, Emo, Grunge, Alternative Hip Hop
    Metal                          Heavy Metal, Thrash Metal, Power Metal, Gothic Metal, Melodic Death
                                   Metal, Progressive Metal, Nu Metal, Symphonic Metal, Alternative
                                   Metal, Groove Metal, Metalcore, Death Metal, Glam Metal
    Punk                           Pop Punk, Punk Rock, Hardcore Punk, Post-Hardcore, Gypsy Punk
    ElectronicAndDance             Synthpop, Electronic, Industrial Metal, Industrial Rock, Dance
    Folk                           Folk Rock, Indie Folk, Folk Punk
    Progressive                    Progressive Rock, Progressive Metal, Experimental Rock, Post,
                                   Psychedelic Rock
    Pop                            Pop, Pop Rock


der (one of Male, Female, or Group), and their Start Date and EndDate.9 Additionally, a single
musical genre considered most representative was curated for each artist using MusicBrainz’s
genre information. As this data often assigns multiple genre tags to an artist, a manual selec-
tion of a single tag was performed where necessary. Next, using each artist’s MBIDs, each’s
corresponding setlist.fm ID (a separate setlist.fm unique identifier for each artist) is obtained
via calls to the setlist.fm API.10 This data is stored as depicted in the Artist table in Figure 2.
   The determined single genres for each artist result in a large number of different genre values,
many representing similar sub-genres of a more general genre. To make genre analysis more
tractable, the set of genres can be mapped onto a smaller set of generalized genres. Such a
mapping of dozens of genres onto a set of generalized genres is shown in Table 1. This data is
stored as depicted in the Genre table in Figure 2.11
   Given a set of artist setlist.fm IDs, a list of each artist’s tours can be obtained, from which
data associated with each tour of each artist can be subsequently acquired. For each tour,
overall information of the tour name, the total number of shows on the tour, and date ranges
are acquired, and stored as depicted in the Tour table in Figure 2. For each tour’s songs, the list
of songs played on the tour, along with each song’s number of plays on the tour are acquired.
Additionally, for each song, whether the song is denoted as a cover song (with respect to the
artist the tour is for) is recorded.12 The song information is stored as depicted in the Song table

9
 For groups this represents their formation date and disband dates, for solo artists it holds just their birth dates and
 retirement or death dates. For ongoing artists EndDate will be ”present”.
10
   https://api.setlist.fm/docs/1.0/index.html     (utilising    the    SetListR       wrapper       R      package      -
   https://github.com/fusionet24/SetListR
11
   The assignment of a single genre to each artist, followed by the mapping of these genres to a broader set of gener-
   alized categories, has been curated as a proof of concept. However, genre classification is a complex and expansive
   subject in its own right, with numerous studies addressing the challenges associated with genre categorisation
   [9] and the phenomenon of genre crossover [32]. Given such complexities, the automation of genre classification
   represents a compelling area for future exploration.
12
   Additionally, tours that are empty (made up of only empty shows) are removed, as are any artists for which all




                                                         806
Figure 2: Data Model of our Approach


in Figure 2.
   From this, full artist tour history data for over 200 artists was acquired, chosen for their
prominence within popular music history and culture. This number is progressively expanding,
and up-to-date figures, and access to the data, can be found at the project’s GitHub repository.13
All of the data acquired is stored as raw data, as depicted in Figure 1, to then be utilised within
the analysis stage.

3.2. Data Pre-Processing
Before beginning analysis, pre-processing of the raw dataset is performed. Within our analy-
sis, we are interested in artists who have sufÏciently substantial touring histories. Therefore,
we define thresholds to utilise only artists that have a minimum number of tours and a mini-
mum overall number of shows, and only keep tours that have a minimum number of shows,
a minimum number of unique songs played on the tour, and a minimum show length of the
   tours are empty. Further, tours identified by their name as a set of Promotional publicity media/private shows,
   are removed.
13
   https://github.com/EdAbel/setlist-variety




                                                      807
Table 2
Raw Data Threshold Parameters
                                 Variable                                     Value
                                 Artist Minimum No. of Tours                      5
                                 Artist Minimum Total No. of shows              200
                                 Tour Minimum No. of shows                       20
                                 Tour Minimum No. of songs                       10
                                 Tour Minimum Average Show Length                10


shows from the tour.14 These threshold values are inherently subjective and context dependent;
therefore, we conduct the analysis on the raw data, preserving its integrity so that alternative
thresholds could be applied if needed. Within our analysis that follows, the threshold param-
eter values utilised are shown in Table 2. Following the pre-processing stage, we begin the
analysis at individual tour level.

3.3. Tour Analysis
For a tour, each (unique) song has a Play Count (𝑃𝐶), denoting how many times it was played
on that tour. Tours can vary in terms of how many shows they are made up of, therefore, for
comparisons between tours, a tour’s (absolute) 𝑃𝐶 values can be normalised with respect to
the number of shows in the tour. For a tour, a Relative Play Count (𝑅𝑃𝐶) for each song played
on the tour can be computed via:
                                                           PC𝑖
                                               𝑅𝑃𝐶 𝑖 = (       ) ∗ 100                                           (1)
                                                           𝑡𝑁
Where 𝑃𝐶 𝑖 is the 𝑃𝐶 value of the 𝑖-th song and 𝑡𝑁 is the number of shows in the tour. A
𝑅𝑃𝐶 value of 100 represents a song being played every single show of a tour, whilst a value
of 50 represents a song being played at exactly half of the tour’s shows. We can visualise a
tour and its songs in terms of their 𝑅𝑃𝐶 values, where the y-axis denotes 𝑅𝑃𝐶 value, and the
x-axis denotes song number where songs are sorted with respect to 𝑅𝑃𝐶 values high to low.
For example, Bruce Springsteen (and the E-Street Band’s) 2023 tour, is shown in Figure 3a, and
Coldplay’s Music of the Spheres 2023 Tour is shown in Figure 3b. Such tour visualisations
highlight a generality for many tours to map out an s shaped sigmoidal like function shape.
From a tour’s dataset, notions of Shelf, Tail, 100%’ers, Uniques and Covers can be calculated and
subsequently highlighted within such visualisations. Each of these notions are defined and
explained next.
Shelf - The notion of a tour’s Shelf is a measure of the significance of a tour to have a set of
of songs that are played at most of the tour’s shows, and outline a shelf like shape in the top
left of the plots in Figure 3. Given a Shelf Size (𝑆𝑆) value, denoting what top percentile of tour
songs are to be considered part of the shelf, a Shelf Value 𝑆 can be calculated as the ratio of a
14
     Such thresholds are beneficial for identifying and removing tours with missing data issues, such as tours which
     only a few of the shows have been added for, or tours that have many shows added but lack song information for
     many of the shows. Such tours, if left in the data, can unduly impact and bias analysis.




                                                         808
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                                                                                                        100
                      80




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                                                                                  Relative Play Count
                      60




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                      40




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                      20




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                      0




                                                                                                        0
                            0   10   20    30          40   50   60         70                                0   20   40   60         80   100   120   140

                                            Song No.                                                                             Song No.


(a) Bruce Springsteen (and The E-Street Band) - (b) Coldplay - Music of the Spheres 2023 Tour (Just
    2023 Tour (Just Data Points).                   Data Points)

Figure 3: Tours Visualisation Just Data Points


tour’s songs that are in its shelf. Given the tour’s set of X songs, of length 𝑛, sorted as, 𝑥1 to 𝑥𝑛 ,
from high to low with respect to their 𝑅𝑃𝐶 values:

                                                X = {𝑥1 , 𝑥2 , … , 𝑥𝑛 }      where 𝑥1 ≥ 𝑥2 ≥ ⋯ ≥ 𝑥𝑛                                                           (2)
The Shelf Songs are selected as the top 𝑆𝑆 percentile of X:

                                           Shelf Songs = Top𝑆𝑆 Percentile = {𝑥 ∈ X|𝑥 ≥ 𝑃𝑆𝑆 (X)}                                                               (3)
and 𝑆 is calculated via:

                                              |Shelf Songs|
                                                                   𝑆=                             (4)
                                                    𝑛
  An 𝑆𝑆 value of 10% would select all the songs that have been played at 90% or more of a
tour’s shows, and the corresponding 𝑆 value represents the ratio of the tour’s songs that are
played at 90+% of the tour’s shows. So, an 𝑆 value of 0.25 would represent that 25% of the tour’s
songs are played at 90% or more of its shows.
Tail - The notion of a tour’s Tail is a measure of the significance of a tour to have a set of songs
that are played only rarely on the tour, and outlines a tail like shape in the bottom right of the
plots in Figure 3. Given a Tail Size (𝑇 𝑆) value, denoting what bottom percentile of tour songs
are to be considered a part of the tail, a Tail Value 𝑇 can be calculated as the ratio of a tour’s
songs that are in its tail. The Tail Songs are selected as the bottom 𝑇 𝑆 percentile of X:

                                          Tail Songs = Bottom𝑆𝑆 Percentile = {𝑥 ∈ X|𝑥 ≤ 𝑃𝑇 𝑆 (X)}                                                             (5)
and 𝑇 is calculated via:

                                                                            |Tail Songs|
                                                                      𝑇 =                                                                                     (6)
                                                                                  𝑛




                                                                                 809
   A 𝑇 𝑆 value of 10% would select the songs that are played at most at 10% of a tour’s shows,
and the corresponding 𝑇 value represents the ratio of the tour’s songs that are played at 10%
or less of the tour’s shows. So, a 𝑇 value of 0.4 would represent that 40% of the tour’s songs
are played at 10% or less of its shows.
100%’ers - In the set of songs making up the tour’s shelf, there exists a subset of 0 or more
songs that are played at 100% of the tour’s shows. This subset of songs (100%′ 𝑒𝑟 𝑆𝑜𝑛𝑔𝑠) can
be identified as the set of songs that have 𝑅𝑃𝐶 = 100. A 100%’ers Value 𝐻 is calculated as the
ratio of a tour’s songs that are in this subset.

                                             |100%’er Songs|
                                      𝐻 =                                                       (7)
                                                    𝑛
Uniques - In the set of songs making up a tour’s tail, there exists a subset of 0 or more songs
that are played only once during the whole tour. This subset of songs (𝑈 𝑛𝑖𝑞𝑢𝑒𝑆𝑜𝑛𝑔𝑠) can be
identified as the set of songs that have a 𝑃𝐶 = 1. A Uniques Value 𝑈 is calculated as the ratio
of a tour’s songs that are in this subset.

                                             |Unique Songs|
                                       𝑈 =                                                      (8)
                                                   𝑛
Covers - For each song played on the tour we have information denoting which are cover songs
(with respect to the artist), from which the shelf songs that are cover songs, and the tail songs
that are cover songs, can be determined. From this, the set of shelf songs minus those that are
covers can be determined and a Shelf Minus Covers Ratio Value 𝑆𝑀𝐶 calculated. Similarity,
the set of tail songs minus those that are covers can be determined and a Tail Minus Covers
Ratio Value 𝑇 𝑀𝐶 calculated.
   These calculated notions of Shelf, Tail, 100%’ers, Uniques and Covers can be highlighted
visually within our tour plots, as shown for the tours introduced earlier of Bruce Springsteen
(and the E-Street Band’s) 2023 tour in Figure 4a, and Coldplay’s Music of the Spheres 2023
Tour in Figure 4b. In these plots, the shelf lower edge is denoted via a dotted green line and
the 100%s’ers are those songs that sit on the solid green line. The tail upper edge is denoted via
a dotted orange line and the uniques are those songs that sit on the solid orange line. Cover
songs are denoted by filled red data points, and the shelf and tail covers can be identified as
those filled data points above the shelf’s lower edge and below the tail’s upper edge respectively.
Here, and within subsequent analysis, 𝑆𝑆 and 𝑇 𝑆 parameters of 10% are utilised. However, these
parameters can be altered to any desired numbers. For experimentation exploring sensitively
analysis and impacts of these parameters see Appendix A.
   Such analysis can be utilised to explore and compare different tours from the same artist and
to compare tours of different artists. For example, regarding other Bruce Springsteen tours, the
plot for the Wrecking ball tour is shown in Figure 4c and the plot for the Bruce Springsteen on
Broadway tour shown in Figure 4d. These plots highlight how, as in The Wrecking ball tour’s
case, a tour can have quite a small and sharp shelf, or, as in the Bruce Springsteen on Broadway
tour, a tour can alternatively be predominantly made up of a shelf. The tour for Taylor Swift’s
Speak Now World Tour is shown in Figure 4e, highlighting a tour which has a large long tail
that is made up of many uniques that are cover songs. The tour for Pink Floyd’s The Wall tour




                                                810
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                                                                                                                                          100
                                                                                               Cover                                                                                                                    Cover
                      80




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                                                                                                                  Relative Play Count
                      60




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                      40




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                      0




                                                                                                                                          0
                             0     10        20     30             40          50         60      70                                                0       20       40        60           80   100        120        140

                                                        Song No.                                                                                                                    Song No.


                                 (a) Bruce Springsteen - 2023 Tour                                                                                  (b) Coldplay - Music of the Spheres Tour
                      100




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                      80




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                      60




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                             0          50        100               150             200          250                                                             5                     10              15

                                                        Song No.                                                                                                                    Song No.


                            (c) Bruce Springsteen - Wrecking Ball Tour                                                                                  (d) Bruce Springsteen - Broadway Tour
                      100




                                                                                                                                        100




                                                                                               Cover
                      80




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                      60




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                             0          20          40                    60              80                                                    0           5             10           15        20               25

                                                        Song No.                                                                                                                Song No.


                             (e) Taylor Swift - Speak Now World Tour                                                                                       (f) Pink Floyd - The Wall Tour

Figure 4: Tour Visualisations with Shelf, Tail, and Covers Identified


is shown in Figure 4f, highlighting a tour where all of the tour’s songs are contained in the
shelf and in fact are all 100%’ers.
   Building on this analysis of single tours, next, we explore analysis of an artist’s whole career
of tours.




                                                                                                       811
3.4. Artist Career of Tours Analysis
For a single tour, its Shelf Value 𝑆 and Tail Value 𝑇 can be calculated. With the calculation of a
pair of such values for every tour of an artist’s career, their whole career can be visualised, in
chronological order, in a bar plot. Such a visualisation, for every tour for Bruce Springsteen is
shown in Figure 5a. Here, for each tour, tail values are shown as negative blue bars and each
tour’s corresponding shelf values are shown as green bars.
   Additionally, for each tour, its 100%’ers Value 𝐻 and Uniques Value 𝑈 can be calculated.
These pair of values represent values equal to or less than the tour’s 𝑆 and 𝑇 values. Therefore,
an artist’s whole career can be visualised in a bar plot where the amount of each tour’s tail
that is made up of uniques, and the amount of each tour’s shelf that is made up of 100%’ers is
highlighted. For Bruce Springsteen, every tour with this information is shown in Figure 5b.
   Moreover, for each tour the amount of its shelf that is made up of covers, and the amount
of its tail that is made up of covers can be calculated. Then, an artist’s whole career can be
visualised with the amount of each tour’s tail that is made up of covers, and the amount of
each tour’s shelf that is made up of covers highlighted. Every tour for Bruce Springsteen with
this information is shown in Figure 5c. Alternatively, we could visualise the impact of cover
songs on each tour’s shelf and tail through calculating each tour’s Shelf Minus Covers Value
𝑆𝑀𝐶 and Tail Minus Covers Value 𝑇 𝑀𝐶. Then, an artist’s whole career can be visualised,
highlighting how shelves or tails that are made up of a substantial amount of cover songs will
become smaller. Every tour for Bruce Springsteen with this information is shown in Figure 5d.
   Such analysis can be utilised to explore and compare the careers of different artists. For
example, Figure 6a shows the career of Iron Maiden, and Figure 6b shows the career of Slipknot,
each showing Shelf and Tail values and how much of them are taken up by 100%s and Uniques.
These plots highlight how these artists have a clear leaning towards playing more conformity
and greatest hits like sets, and highlight how over their career this has only become more
pronounced. The career of Taylor swift, showing each tour’s Shelf and Tail values and how
much of them are taken up by covers, is shown in Figure 6c. Here, we observe how after her
first tour, a similar size of shelves and tails is observed. However, whereas the Speak Now
World Tour’s tail is made up almost entirely of cover songs, we observe the inverse for the
tail of the most recent Eras tour. The range of different shelf and tail values for the tour’s of
Pink Floyd are shown in Figure 6d. From this plot we observe stark differences between early
tours which have little or no shelves, and later tours, that coincide with their commercial peak,
having little or no tails and large shelves.
   Building on this analysis of the whole touring career of a single artist, next, we explore
comparison analysis between a corpus of artists.

3.5. Comparing Artists
For an artist, Shelf 𝑆 and Tail 𝑇 values for each tour can be calculated, denoting the size of
shelf and tail for each tour. From the set of shelf values, a single average shelf value 𝑆 ̄ can be
calculated via:




                                               812
                                                                                       Tail                                                                                                               Tail_Minus_Uniques         Shelf_Minus_The100s

                                                                                       Shelf                                                                                                              Uniques                    The100s


                        Greetings From Asbury Park, N.J.                                                                                                      Greetings From Asbury Park, N.J.
            The Wild, The Innocent & The E Street Shuffle                                                                                         The Wild, The Innocent & The E Street Shuffle
                                    Chicken Scratch Tour                                                                                                                  Chicken Scratch Tour
                                             Born to Run                                                                                                                           Born to Run
                                             Lawsuit Tour                                                                                                                          Lawsuit Tour
                                                Darkness                                                                                                                              Darkness
                                                The River                                                                                                                             The River
                                       Born in the U.S.A.                                                                                                                    Born in the U.S.A.
                                  Tunnel of Love Express                                                                                                                Tunnel of Love Express
Tour Name




                                                                                                                                      Tour Name
                                     Human Rights Now!                                                                                                                     Human Rights Now!
                Bruce Springsteen 1992–1993 World Tour                                                                                                Bruce Springsteen 1992–1993 World Tour
                                  The Ghost of Tom Joad                                                                                                                 The Ghost of Tom Joad
                                            Reunion Tour                                                                                                                          Reunion Tour
                                               The Rising                                                                                                                            The Rising
                                            Devils & Dust                                                                                                                         Devils & Dust
                                        Seeger Sessions                                                                                                                       Seeger Sessions
                                                    Magic                                                                                                                                 Magic
                                    Working on a Dream                                                                                                                    Working on a Dream
                                            Wrecking Ball                                                                                                                         Wrecking Ball
                                              High Hopes                                                                                                                            High Hopes
                                     The River Tour 2016                                                                                                                   The River Tour 2016
                               Springsteen On Broadway                                                                                                               Springsteen On Broadway
                          Springsteen On Broadway 2021                                                                                                          Springsteen On Broadway 2021
                  Springsteen & E Street Band 2023 Tour                                                                                                 Springsteen & E Street Band 2023 Tour
                                                            −100       −50                 0             50              100                                                                       −100     −50                  0              50          100
                                                                                  Relative Size                                                                                                                         Relative Size



                                     (a) All Tours Shelf and Tail                                                                   (b) All Tours Shelf & 100%’ers and Tail & Uniques

                                                                   Tail_Minus_TailCovers       Shelf_Minus_ShelfCovers                                                                                            Tail_Minus_TailCovers

                                                                   TailCovers                  ShelfCovers                                                                                                        Shelf_Minus_ShelfCovers


                        Greetings From Asbury Park, N.J.                                                                                                 Greetings From Asbury Park, N.J.
            The Wild, The Innocent & The E Street Shuffle                                                                                    The Wild, The Innocent & The E Street Shuffle
                                    Chicken Scratch Tour                                                                                                             Chicken Scratch Tour
                                             Born to Run                                                                                                                      Born to Run
                                             Lawsuit Tour                                                                                                                     Lawsuit Tour
                                                Darkness                                                                                                                         Darkness
                                                The River                                                                                                                        The River
                                       Born in the U.S.A.                                                                                                               Born in the U.S.A.
                                  Tunnel of Love Express                                                                                                           Tunnel of Love Express
Tour Name




                                                                                                                                 Tour Name
                                     Human Rights Now!                                                                                                                Human Rights Now!
                Bruce Springsteen 1992–1993 World Tour                                                                                           Bruce Springsteen 1992–1993 World Tour
                                  The Ghost of Tom Joad                                                                                                            The Ghost of Tom Joad
                                            Reunion Tour                                                                                                                     Reunion Tour
                                               The Rising                                                                                                                       The Rising
                                            Devils & Dust                                                                                                                    Devils & Dust
                                        Seeger Sessions                                                                                                                  Seeger Sessions
                                                    Magic                                                                                                                            Magic
                                    Working on a Dream                                                                                                               Working on a Dream
                                            Wrecking Ball                                                                                                                    Wrecking Ball
                                              High Hopes                                                                                                                       High Hopes
                                     The River Tour 2016                                                                                                              The River Tour 2016
                               Springsteen On Broadway                                                                                                          Springsteen On Broadway
                          Springsteen On Broadway 2021                                                                                                     Springsteen On Broadway 2021
                  Springsteen & E Street Band 2023 Tour                                                                                            Springsteen & E Street Band 2023 Tour
                                                            −100       −50                 0             50              100                                                                      −100    −50                0                 50          100
                                                                                  Relative Size                                                                                                                       Relative Size



            (c) All Tours Shelf & Covers and Tail & Covers                                                                                         (d) All Tours Shelf And Tail Without Covers

Figure 5: All Tours Analysis - Bruce Springsteen



                                                                                                                                         𝑛
                                                                                                                               1
                                                                                                                  𝑆̄ =           ∑𝑆                                                                                                                         (9)
                                                                                                                               𝑛 𝑖=1 𝑖
where 𝑆 ̄ is the average of the individual Shelf values, 𝑆𝑖 represents the Shelf value for Tour 𝑖,
and 𝑛 is the number of Tours for the artist.
  Similarly, an average tail value 𝑇 ̄ for the artist can be calculated via:
                                                                                                                                         𝑛
                                                                                                                       1
                                                                                                                  𝑇 ̄ = ∑ 𝑇𝑖                                                                                                                               (10)
                                                                                                                       𝑛 𝑖=1
where 𝑇 ̄ is the average of the individual Tail values, 𝑇𝑖 represents the Tail value for Tour 𝑖, and
𝑛 is the number of Tours for the artist.
   From these calculations, a pair of 𝑆 ̄ and 𝑇 ̄ values can be calculated for every artist, and the
whole set of artists can be shown within a single scatter plot, as shown in Figure 7. Here, the
x-axis denotes mean tail values (𝑇 ̄ ) and the y-axis denotes mean shelf values (𝑆),̄ with the shelf
axis scale inverted to highlight how, in variety terms, the larger the shelf the less variety, and
the larger the tail the more variety. Each data point in the plot represents an artist, coloured
with respect to their generalized genre value. The solid blue diagonal line, running from the
bottom left to the top right, signifies the vector of values where the sum of 𝑆 ̄ and 𝑇 ̄ is 100, which




                                                                                                                               813
                                                            Tail_Minus_Uniques           Shelf_Minus_The100s                                                                                   Tail_Minus_Uniques        Shelf_Minus_The100s

                                                            Uniques                      The100s                                                                                               Uniques                   The100s


                          Metal for Muthas                                                                                                                         Ozzfest 1999
                    Iron Maiden Tour 1980                                                                                                                    Livin La Vida Loco
                           Killer World Tour                                                                                                             World Domination Tour
                   The Beast on the Road                                                                                                                           Ozzfest 2001
                                World Piece                                                                                                                Pledge of Allegiance
                        World Slavery Tour                                                                                                             European Iowa Tour 2K2
                      Somewhere On Tour
            Seventh Tour of a Seventh Tour                                                                                               Jägermeister Music Tour (Spring 2004)
                   No Prayer on the Road                                                                                                          European Open Air Tour 2004
                           Fear of the Dark                                                                                                                        Ozzfest 2004
Tour Name




                                                                                                                             Tour Name
                           A Real Live Tour                                                                                                The Unholy Alliance Tour 2004 2005
                              The X Factour                                                                                                  Subliminal Verses World Tour 2005
                      Virtual XI World Tour                                                                                                              Mayhem Festival 2008
                       The Ed Hunter Tour                                                                                                                      All Hope is Gone
                          Brave New World                                                                                                                Mayhem Festival 2012
                Give Me Ed... 'til I'm Dead                                                                                                                Memorial World Tour
                            Dance of Death                                                                                                           Summer's Last Stand Tour
                  Eddie Rips Up the World                                                                                                                 Prepare For Hell Tour
                A Matter of Life and Death                                                                                                  North American Summer Tour 2016
                 Somewhere Back in Time
             The Final Frontier World Tour                                                                                                                  Knotfest Roadshow
                           Maiden England                                                                                                                 We Are Not Your Kind
             The Book of Souls World Tour                                                                                                             Knotfest Roadshow 2021
                       Legacy of the Beast                                                                                                            Knotfest Roadshow 2022
                           The Future Past                                                                                                                     The End, So Far
                                               −100         −50                   0                   50        100                                                               −100         −50                  0                   50      100
                                                                         Relative Size                                                                                                                       Relative Size



(a) Iron Maiden – All Tours Shelf & 100%’ers and (b) Slipknot – All Tours Shelf & 100%’ers and Tail
    Tail & Uniques                                   & Uniques

                                                      Tail_Minus_TailCovers           Shelf_Minus_ShelfCovers                                                                             Tail_Minus_Uniques        Shelf_Minus_The100s
                                                      TailCovers                      ShelfCovers                                                                                         Uniques                   The100s


                                                                                                                                          Pink Floyd World Tour 1968
                           Fearless
                                                                                                                                            The Man and The Journey
                                                                                                                                    Atom Heart Mother World Tour
            Speak Now World Tour
                                                                                                                                              Meddle U.S. Tour 1971
                                                                                                                                               Dark Side of the Moon
Tour Name




                                                                                                                        Tour Name
                      The Red Tour
                                                                                                                                              British Winter Tour 1974
                                                                                                                                                 Wish You Were Here
              The 1989 World Tour
                                                                                                                                                          In the Flesh
                                                                                                                                                             The Wall
            reputation Stadium Tour
                                                                                                                                    A Momentary Lapse of Reason
                                                                                                                                                       Another Lapse
                      The Eras Tour
                                                                                                                                                     The Division Bell

                                       −100           −50                     0                     50          100                                                      −100            −50                   0                   50          100
                                                                      Relative Size                                                                                                                      Relative Size



(c) Taylor Swift – All Tours Shelf & Covers and Tail (d) Pink Floyd – All Tours Shelf & 100%’ers and Tail
    & Covers                                             & Uniques

Figure 6: All Tours Analysis - Various Artists


would signify that 100% of songs (in all the artist’s tours) are contained within shelves and tails.
Therefore, each artist’s distance to this line signifies their average combined shelves and tail
size. The solid red diagonal line, running from the top left to the the bottom right of the plot,
signifies the set of pairs of equal 𝑆 ̄ and 𝑇 ̄ values. Artists sitting on this line have equally sized
average shelf (𝑆)̄ and tail (𝑇 ̄ ) values, artists that sit above the line have a greater average tail
than shelf suggesting more variety, and artists that sit below the line have a greater average
shelf then tail suggesting less variety. The distance each artist is from this line represents the
strength of this property. Artists further towards the bottom left of the plot represent those
with much larger shelves and smaller tails on average, suggesting they are the artists with the
least variety. Artists further towards the top right of the plot represent those with smaller
shelves and larger tails on average, suggesting they are the artists with the most variety. Such
a visualisation, which preserves the dimensions of the shelf and the tail separately, enables
nuanced comparisons within this multi-dimensional space [3]. This facilitates highlighting,
for example, differences between artists who are equidistant from the solid red diagonal line
but vary in their distance from the solid blue line.
   Further analysis can consider shelves and tails not including the songs in them that are cover
songs, through computing average shelf and tail values for each artist in relation to this, and




                                                                                                                      814
                                                                                                                                     umphrey's−mcgee
                0
                                                  u.d.o.      grateful−dead frank−zappa
                                                           céline−dion       nofx       pearl−jam  red−hot−chili−peppers            yo−la−tengo
                                   iced−earth
                                                                 jethro−tull         cheap−trick                       frank−turner
                    two−door−cinema−club
                                 elton−john−and−billy−joel
                                                        primus
                                                                               faith−no−more                    billy−joel
                      you−me−at−six                      queens−of−the−stone−age                      r.e.m.
                                                                                          wilco beck
                                 pj−harvey elton−john                                                        foo−fighters
                                                            foals limp−bizkit
                                             kaiser−chiefs                          aerosmith eric−clapton
                                       him           trivium radiohead                             bon−jovi the−killers
                                                                                      the−national
                                             kings−of−leonbiffy−clyro deftones                                        coldplay
                                     pixies                                      rise−against bruce−springsteen
                                                                        heart                             imagine−dragons
                                         yellowcard
                                                                                 thirty−seconds−to−mars                          taylor−swift
             −25                  lacuna−coil                        epica
                                                                                  kasabian arcade−fire green−day
                                          black−sabbath dream−theater u2
                                                                                         bob−dylan
                                interpol                    incubus
                                                                              the−offspring
                                            the−cult           journey
                                                                         whitesnake
                           judas−priest exodus                    oasis
                                                                new−found−glory
                                    rammstein         kiss
                                                            metallica        weird−al−yankovic
Mean Shelf




                                          in−flames
                                                        rob−zombie     the−rolling−stones
                                   zz−top        tool
                                                                    nickelback yes
             −50    avenged−sevenfold
                                   velvet−revolver acdc disturbed fall−out−boy
                            linkin−park                  van−halen queen
                          slayer paramore opeth
                                                       lady−gaga
                                tina−turner korn                  paul−mccartney
                                           cher       def−leppard
                               sigur−rós         eagles
                             iron−maiden     depeche−mode
                                  slipknot
                                              beyoncé
             −75                pink−floyd     madonna
                                   roger−waters
                                                                                                                                                GeneralizedGenre
                          ghost                                                                                                                  a     Alternative
                           britney−spears                                                                                                        a     ElectronicAndDance
                                                                                                                                                 a     Folk
                         rush
                                                                                                                                                 a     Metal
                                                                                                                                                 a     Pop
                                                                                                                                                 a     Progressive
                                                                                                                                                 a     Punk
             −100                                                                                                                                a     Rock

                         0                                    25                                    50                                    75                            100
                                                                                              Mean Tail

Figure 7: All Artists Comparisons - Average Tail Vs Average Shelf


creating a scatter plot of these results, as shown in Figure 8. In this plot, we see how some
artists, that play a lot of covers within their tail, move further away from the top right of
the plot, highlighting the importance, for some artists, of playing cover songs as part of their
attainment of variety.15
   From Figures 7 and 8’s data, additional analysis can compute overall averages for each gen-
eralized genre. Calculated genre averages, for Tail and Shelf values are shown in Figure 9a.
The plot highlights how genres, such as Electronic and Dance, and Pop, on average exhibit
less variety that other genres, such as Folk, Alternative, and Punk. Calculated genre averages,
when shelf and tail cover songs are not considered are shown in Figure 9b. Here, we observe
the impacts removing covers has on the genre averages, and how the impacts are greater for
some genres, such Rock and Alternative, than others, such as Punk.
   Further analysis from Figure 7 and 8’s data can, through division of the 2-dimensional plot

15
     Similarity we could explore utilising data pertaining to the amount of uniques and 100%’ers within shelves and
     tails to, for example, use a weighting system to give these songs more impact.




                                                                                            815
                                                 u.d.o.                                                     umphrey's−mcgee
                                                                       yo−la−tengo frank−zappa
                                           iced−earth céline−dion
                             0
                                                               red−hot−chili−peppers nofx             frank−turner
                              two−door−cinema−clubgrateful−dead
                                                                                        pearl−jam
                                                eric−clapton      primus
                                                                            jethro−tull    cheap−trick
                                you−me−at−six                r.e.m.
                                                                     billy−joel beck         wilco
                                            pj−harvey elton−john
                                                                                  foo−fighters
                                             him                      aerosmith
                                                                                     the−national
                                                  pixies
                                                                                            imagine−dragons
                                                                   biffy−clyro
                                                                                                   green−day
                          −25
                                    tina−turner                                     taylor−swift
                                                                     whitesnake
                                           interpol                                 the−offspring
                                 velvet−revolver
                                                                             oasis
Mean Shelf Minus Covers




                                           zz−top   cher
                                            rob−zombie
                                  avenged−sevenfold     acdc         yes
                                              lady−gaga      fall−out−boy
                          −50
                                                         opeth
                                       linkin−park     slayer lamb−of−god
                                                  korn

                                                def−leppard paul−mccartney
                                           sigur−rós
                                                      beyoncé
                                     iron−maiden      depeche−mode
                                             slipknot

                                           pink−floyd
                          −75        ghost
                                                   madonna
                                 britney−spears roger−waters
                                                                                                                                   GeneralizedGenre
                                                                                                                                   a   Alternative
                                                                                                                                   a   ElectronicAndDance
                                                                                                                                   a   Folk
                                     rush                                                                                          a   Metal
                                                                                                                                   a   Pop
                                                                                                                                   a   Progressive
                                                                                                                                   a   Punk
                          −100                                                                                                     a   Rock

                                       0                                     25                               50              75                            100
                                                                                                    Mean Tail Minus Covers



Figure 8: All Artists Comparisons - Average Tail Minus Tail Covers Vs Average Shelf Minus Shelf Covers


space, cluster the artists into a set of ordinal clusters from very high variety, to very low variety.
For discussions and results from such clustering analysis see Appendix B.
   Finally, in the pursuit of a single measure of variety for each artist, the shelf and tail values
of a tour are combined, to derive a single measure of Variety 𝑉 for each tour. For tour 𝑖, its
Variety measure 𝑉𝑖 can be calculated via:

                                                                                                  𝑉𝑖 = 𝑇𝑖 − 𝑆𝑖                                                    (11)

where 𝑇𝑖 is the Tail value of tour 𝑖 and 𝑆𝑖 is the Shelf value of tour 𝑖. A positive value represents
a tour with a tail larger than its shelf, suggesting more variety, and a negative value represents
a tour with a tail smaller than its shelf, suggesting less variety. From this, an average overall
variety 𝑉 ̄ value of an artist’s tours can be calculated via:
                                                                                                               𝑛
                                                                                                         1
                                                                                                𝑉̄ =       ∑𝑉                                                     (12)
                                                                                                         𝑛 𝑖=1 𝑖




                                                                                                        816
                0                                                                                              0




                                                             Folk                                                                                              Folk


                                                                                                                                              Alternative
                                          Alternative
             −25                                                                                            −25                                     Punk
                                                  Punk
                                                                                                                                             Rock


                                 Metal       Rock
                                                                                                                                    Metal

                                     Progressive                                                                                            Progressive
Mean Shelf




                                                                                               Mean Shelf
                                                                                                                       ElectronicAndDance
                        ElectronicAndDance
                                                                                                                                      Pop
             −50                                                                                            −50

                                   Pop




             −75                                                                                            −75
                                                                      GeneralizedGenre                                                                                             GeneralizedGenre
                                                                      a Alternative                                                                                                a Alternative
                                                                      a ElectronicAndDance                                                                                         a ElectronicAndDance
                                                                      a Folk                                                                                                       a Folk
                                                                      a Metal                                                                                                      a Metal
                                                                      a Pop                                                                                                        a Pop
                                                                      a Progressive                                                                                                a Progressive
                                                                      a Punk                                                                                                       a Punk
             −100                                                     a Rock                                −100                                                                   a Rock


                    0                        25             50       75                100                         0                                      25             50       75                100
                                                         Mean Tail                                                                                                    Mean Tail


(a) All Artists - Tail and Shelf analysis with Genre (b) All Artists - Tail without covers and Shelf with-
    Averages                                             out covers analysis with Genre Averages

Figure 9: Genre Averages Analysis


where 𝑉 ̄ is the average of the individual tour 𝑉 values, 𝑉𝑖 represents the Shelf value for Tour 𝑖,
and 𝑛 is the number of Tours for the artist. The set of all artists and their 𝑉 ̄ values, ordered with
respect to 𝑉 ̄ , and coloured with respect to generalized genre, is shown in Figure 10, providing
an overall visualisation of a corpus of artists with respect to variety.

3.6. Correlation Analysis of Variety with Other Features
To examine the robustness of our notion of variety for comparing different artists, despite their
varying characteristics, such as the number of tours, the length of performances, and activity
during different time periods, we conducted a correlation analysis between our 𝑉 ̄ Variety mea-
sure and such properties. Table 3 shows the correlation results for seven artist properties, along
with definitions of each property. The Correlation values are the correlation levels found be-
tween each of the seven properties and our 𝑉 ̄ measure. Here, correlation is calculated with
respect to Pearson Correlation CoefÏcient. For fuller descriptions and discussions of each of
these properties see Appendix C, which also contains visualisation scatter plots of each prop-
erty against our 𝑉 ̄ measure. Table 3 highlights how our measure has only very weak correlation
to these properties,16 suggesting our measure is robust for analysis between artists, and will
not be unduly bias by, for example, different artists having more tours or longer shows.




16
             Where the semantics of correlation strength can be classified as - Very Weak Correlation: |𝑟| < 0.2, Weak Cor-
             relation: 0.2 ≤ |𝑟| < 0.4, Moderate Correlation: 0.4 ≤ |𝑟| < 0.6, Strong Correlation: 0.6 ≤ |𝑟| < 0.8, Very Strong
             Correlation: |𝑟| ≥ 0.8 [12]




                                                                                             817
                                    umphrey's−mcgee
                                              yo−la−tengo
                                               frank−turner
                               red−hot−chili−peppers
                                                       billy−joel
                                                 taylor−swift
                                                             r.e.m.
                                                    pearl−jam
                                                cheap−trick
                                              frank−zappa
                                                        coldplay
                                                    the−killers
                                                foo−fighters
                                                              beck
                                                               nofx
                                                              wilco
                                               eric−clapton
                                            grateful−dead
                                                        bon−jovi
                                    bruce−springsteen
                                                  green−day
                                           faith−no−more
                                                 céline−dion
                                     imagine−dragons
                                              the−national
                                                     aerosmith
                          queens−of−the−stone−age
                                                     jethro−tull
                                                             u.d.o.
                  tom−petty−and−the−heartbreakers
                                               rise−against
                                                           primus
                                                       deftones
                                                   limp−bizkit
                                                 arcade−fire
                             thirty−seconds−to−mars
                                                   bob−dylan
                                                  iced−earth
                           elton−john−and−billy−joel
                                                   elton−john
                                                       kasabian
                                             kaiser−chiefs
                                                    radiohead
                                                              foals
                                       the−flaming−lips
                                                    biffy−clyro
                       nick−cave−&−the−bad−seeds
                                                              heart
                                             the−offspring
                                                           trivium
                                      jimmy−eat−world
                                                             epica
                                                                 u2
                                                    halestorm
                                                     pj−harvey
                                  death−cab−for−cutie
                              two−door−cinema−club
                                            kings−of−leon
                                          you−me−at−six
                                         arctic−monkeys
                                                          journey
                                                 whitesnake
                                                                him
                                             soundgarden
                                   system−of−a−down
                            the−smashing−pumpkins
                                         alice−in−chains
                                                   yellowcard
                            florence−+−the−machine
                                           dream−theater
                                                         incubus
                                                papa−roach
                                                              oasis
                                                                                                             GeneralizedGenre
                                                            pixies
                                        jane's−addiction                                                       Alternative
    Artist Name




                                                       the−who
                                           black−sabbath
                                                           editors                                             ElectronicAndDance
                                     new−found−glory
                              bullet−for−my−valentine                                                          Folk
                                         franz−ferdinand
                                              deep−purple
                                                         anthrax
                                                                                                               Metal
                                                          volbeat
                                                  neil−young                                                   Pop
                                             enter−shikari
                                                    testament                                                  Progressive
                                                        placebo
                                    weird−al−yankovic
                                                 lacuna−coil
                                                                                                               Punk
                                                     blink−182                                                 Rock
                                             peter−gabriel
                                                           weezer
                                                      the−used
                                                    helloween
                                              david−bowie
                            five−finger−death−punch
                                   children−of−bodom
                                    twenty−one−pilots
                                         the−black−keys
                                     within−temptation
                                                        garbage
                                                     scorpions
                                                                yes
                                              queensrÿche
                                                        the−cult
                                                             muse
                                    the−rolling−stones
                                                    megadeth
                                                           exodus
                                                  motörhead
                                       marilyn−manson
                  noel−gallagher's−high−flying−birds
                                                          interpol
                                         ozzy−osbourne
                                                                kiss
                                     killswitch−engage
                                               fall−out−boy
                                                       metallica
                                         nine−inch−nails
                                                   nickelback
                                                    mastodon
                                          lynyrd−skynyrd
                                                                tool
                                                      nightwish
                                                       the−cure
                                                            queen
                                                     in−flames
                                                   rammstein
                                                      disturbed
                                                rob−zombie
                                               judas−priest
                                                              acdc
                                                   van−halen
                                                   lady−gaga
                                                             opeth
                                          guns−n'−roses
                                                           zz−top
                                   avenged−sevenfold
                                          velvet−revolver
                                        paul−mccartney
                                             lamb−of−god
                                              mötley−crüe
                                                            slayer
                                                     paramore
                                                  linkin−park
                                                               korn
                                                def−leppard
                                                           eagles
                                                  tina−turner
                                                               cher
                                         depeche−mode
                                                        beyoncé
                                                      sigur−rós
                                              iron−maiden
                                                         slipknot
                                                      madonna
                                             roger−waters
                                                    pink−floyd
                                                             ghost
                                          britney−spears
                                                               rush
                                                                       −100




                                                                              −50




                                                                                             0




                                                                                                        50




                                                                                                                                    100




                                                                                      Average Variety


Figure 10: All Artists, Variety analysis, coloured by Generalized Genre


4. Conclusions
In this paper, we explored data acquisition and processing of musical artists’ touring histories,
and proposed an approach to explore set-list variety, at tour level, artist career level, and for




                                                                                    818
Table 3
Correlation Analysis
   Property Name             Description                                              Correlation
   Number of Tours           The total number of tours                                -0.1786
   Total Number of Shows     The total number of shows from all tours                 -0.0725
   Length of Tours           The average number of shows per tour                     0.0908
   Average Show Length:      The average show legnth in terms of number of songs      0.0952
   H-Index                   The careear H-Index, where an artist has a h-index       0.0630
                             of h if they have played h songs at least h times each
   Artist   Start Date       The formation incarnation date of the artist (for        0.0933
   (Groups Only)             groups only)
   Amount Time Period        The amount time active in terms of years (for groups     -0.0952
   (Groups Only)             only)


comparisons between artists. Our approach proposed the notions of a shelf and a tail, to aid
explorations of, and to quantify, variety at tour level and artist level. Furthermore, the ap-
proach explores the impact of cover songs on these notions of variety, and explores variety
comparisons between different musical genres. The analysis of variety highlighted the diver-
sity among artists, in terms of a prevalence to lean towards playing more conformative or more
diverse shows. Additional correlation analysis explored the robustness of the proposed notion
of variety, with respect to differing artist properties, such as the number of tours or the average
lengths of shows.
   From our data processing, some data quality issues were uncovered, such as incomplete or
empty data, for which such instances can be flagged, and filtering thresholds utilised. Gen-
erally, we found more setlist.fm data issues for older tours and shows, and for less popular
artists. Additionally, setlist.fm provides set-list data without details on other potential set-list
semantics, such as variations in how a song is performed or the inclusion of special elements
like artist monologues or other forms of communication during a show. Therefore,future work
will explore integrating additional data sources, such as artist fan community databases, to en-
rich our dataset and model, offering potential for incremental improvements. Additionally,
future work will investigate incorporating our analysis into live music recommender systems,
which suggest items based on user preferences [4]. Given that factors such as variety and diver-
sity have become increasingly important in this field [18], our analysis may provide valuable
insights.


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A. Exploration of Shelf and Tail Parameter Values
To aid selection of pertinent 𝑆𝑆 and 𝑇 𝑆 parameters, and to aid understanding our of dataset,
sensitively analysis experimentation was performed exploring the average percentage of tour
songs that are contained within different combined shelf and tail size parameter values. The
impact of experimentation with different sized shelf and tail values is shown in Figure 11. The
x-axis denotes different combined sizes of shelf and tail values (so 20 represents where the shelf
and tail values are both 10) and the y-axis denotes the overall average percentage of songs that
are contained within the combined shelf and tail.
   Figure 11 highlights how, due to the general trend observed for tours to map out an s shaped
sigmoidal like function, there is a pattern that the percentage of songs contained within the
shelf and tail is greater than the percentile values denoting the shelf and tail size. From example,
a shelf and tail percentile size both of 10% (20% combined value) results in over 50% on average
of tours’ songs being contained within this 20% percentile space. Moreover, these values denote
a point in the plot where the decrease of the gradient of the line is levelling off, suggesting their
suitability as shelf and tail percentile sizes.
   Further analysis could explore additional experimentation such as, breaking the results down
to see the separate contributions of the shelf and tail to the total, using unequal shelf and tail
size values, and exploring differences within the results when the data is subsetted for features
such as genre.


B. Ordinal Clustering Analysis
From calculations of a pair of 𝑆 ̄ and 𝑇 ̄ values for every artist, the whole set of artists can be
visualised within a single scatter plot, as shown in Figure 7, and from calculations of shelves and
tails not including cover songs, the set of artists can be visualised within a single scatter plot, as
shown in Figure 8. Further analysis of the data in Figures 7 and 8 can cluster artists into ordinal
groups by dividing the 2-dimensional plot space. Variety can be viewed as a combination of
levels of shelves and tails, with the plot space divided accordingly, as shown in Figure 12a, here,
for average shelf and tail values for each artist. In this plot, the dotted red lines divide the space
into 8 levels of variety, representing 8 ordinal clusters. Each artist belongs to only one cluster,
as shown by the data point colours in Figure 12a. The membership constraints of each of the 8
clusters can be defined in terms of mean shelf (𝑆)̄ and mean tail (𝑇 ̄ ) value ranges, and assigned
semantic ordinal names such as:




                                                822
                                                                                                                                                 100
                                    100
                                                                                                                                    90.53
                                    90
                                                                                                                       80.29
                                    80                                                                    74.76
                                                                                              68.67
      Mean Tail And Shelf Percent




                                    70                                                65.08
                                                                              61.39
                                    60
                                                                      52.99

                                    50
                                                              46.79
                                                      40.57
                                    40


                                    30        26.44
                                          16.32
                                    20    12.13

                                    10
                                          0
                                      0
                                          0            10              20       30             40           50          60     70    80     90    100
                                                                                              Combined Shelf and Tail Values



Figure 11: Shelf and Tail Parameter Size Impact on Overall Percentage of Songs Included


   1. Very High Variety: Where the difference between the mean tail and mean shelf value
      is greater than or equal to 75.
   2. High Variety: Where the difference between the mean tail and mean shelf value is
      greater than or equal to 50 and less than 75.
   3. Moderate Variety: Where the difference between the mean tail and mean shelf value
      is greater than or equal to 25 and less than 50.
   4. Low Variety: Where the difference between the mean tail and mean shelf value is
      greater than or equal to 0 and less than 25.
   5. Low Uniformity: Where the difference between the mean tail and mean shelf value is
      greater than or equal to -25 and less than 0.
   6. Moderate Uniformity: Where the difference between the mean tail and mean shelf
      value is greater than or equal to -50 and less than -25.
   7. High Uniformity: Where the difference between the mean tail and mean shelf value is
      greater than or equal to -75 and less than -50.
   8. Very High Uniformity: Where the difference between the mean tail and mean shelf
      value is less than -75.
  Similar analysis can be conducted for data calculations of shelves and tails not including
any songs that are cover songs, as shown in Figure 12b. Here, we observe that when covers
are excluded, some artists shift in the plot to the extent that they belong to a different cluster,
invariably one with less variety. Within such cluster analysis, the % of artists in each cluster can
be computed. The breakdown of each cluster artist %, for both data including cover songs, and
data not considering cover songs, is shown in Table 4. The Table highlights how when cover
songs are not considered, cluster memberships exhibit a general trend for the distribution to
move from variety to uniformity.




                                                                                                      823
                                                    u.d.o.                                                                               umphrey's−mcgee                                                                        u.d.o.
                0                                                                  frank−zappa                                                                                                                                                         yo−la−tengo frank−zappa
                                                                                                                                                                                                                          iced−earth céline−dion
                                                                grateful−dead                                                                                                                             0                                                                              umphrey's−mcgee
                                 iced−earth
                                                             céline−dion
                                                                                             pearl−jam red−hot−chili−peppers          yo−la−tengo                                                                                             red−hot−chili−peppers nofx             frank−turner
                                 elton−john−and−billy−joel                                                                                                                                                                       grateful−dead
                                                                                                                                                                                                              two−door−cinema−club
                                                                                nofx cheap−trick                               frank−turner                                                                                                                             pearl−jam
                 two−door−cinema−club                             jethro−tull                             r.e.m.                                                                                                               eric−clapton      primus
                                                        primus                   faith−no−more                      billy−joel                                                                                                                              jethro−tull   cheap−trick
                   you−me−at−six          elton−john                                                                                                                                                            you−me−at−six               r.e.m.
                                                           queens−of−the−stone−age              wilco beck                                                                                                                                                        beck
                                             kaiser−chiefs                                                                                                                                                                                           billy−joel             wilco
                                                                                     eric−clapton foo−fighters                                                                                                             pj−harvey elton−john
                               pj−harvey                      limp−bizkit
                                                    foals                                                                                                                                                                                                         foo−fighters
                                                               radiohead aerosmith                  bon−jovi the−killers                                                                                                    him                       aerosmith
                                      him            trivium
                                                                           deftones the−national                                                                                                                                                                    the−national
                                                                                                                           coldplay                                                                                              pixies
                                   pixies kings−of−leon biffy−clyro                                  bruce−springsteen                                                                                                                                                     imagine−dragons
                                                                           heart rise−against imagine−dragons                                                                                                                                      biffy−clyro
                                        yellowcard
                                                                       thirty−seconds−to−mars                    green−day                                                                                                                                                        green−day
             −25                lacuna−coil                                                                                                                                                            −25
                                                              epica                                arcade−fire                   taylor−swift                                                                                                                      taylor−swift
                                                                           kasabian                                                                                                                                 tina−turner
                             interpol                                 u2                                                                                                                                                                             whitesnake
                                                                                        bob−dylan
                                                          incubus                                                                                                                                                            interpol                              the−offspring
                                                                                 the−offspring
                                          the−cult               journey                                                                                                                                      velvet−revolver
                                                                                                                                                                                                                                                           oasis
                              judas−priest

                                     in−flames      kiss the−rolling−stones weird−al−yankovic                                                                                                                            zz−top   cher
                                    zz−top                           yes                                                                                                                                                 rob−zombie
                                               tool rob−zombie
Mean Shelf




                                                                                                                                                                                                                                                  yes




                                                                                                                                                                                          Mean Shelf
                      avenged−sevenfold acdc                      nickelback                                                                                                                                   avenged−sevenfold     acdc
                                                                                                                                                                                                                           lady−gaga      fall−out−boy
             −50                                                  fall−out−boy                                                                                                                         −50
                              velvet−revolver      disturbed                                                                                                                                                                          opeth
                        linkin−park                    van−halen queen                                                                                                                                             linkin−park
                                     slayer    opeth                                                                                                                                                                                     slayer lamb−of−god
                                                           lady−gaga                                                                                                                                                              korn
                                paramore korn
                                                            paul−mccartney
                               tina−turner
                                            cher    def−leppard                                                                                                                                                               def−leppard paul−mccartney
                              sigur−rós                                                                                                                                                                                 sigur−rós
                                              eagles                                                                                                                                                                                beyoncé
                           iron−maiden depeche−mode                                                                                                                                                               iron−maiden      depeche−mode
                                slipknot                                                                                                                                                                                  slipknot
                                             beyoncé
                                                                                                                                                                                                                        pink−floyd
             −75              pink−floyd     madonna                                                                                                                                                   −75       ghost
                                                                                                                                                                                                                                madonna
                        ghost
                                 roger−waters                                                                                                       Cluster                                                   britney−spears roger−waters                                                                       Cluster
                                                                                                                                                      a    High Variety                                                                                                                                          a   High Variety
                         britney−spears
                                                                                                                                                      a    Moderate Variety                                              rush
                                                                                                                                                                                                                                                                                                                 a   Moderate Variety
                                                                                                                                                      a    Low Variety                                                                                                                                           a   Low Variety
                       rush                                                                                                                           a    Low Uniformity                                                                                                                                        a   Low Uniformity
                                                                                                                                                      a    Moderate Uniformity                                                                                                                                   a   Moderate Uniformity
                                                                                                                                                      a    High Uniformity                                                                                                                                       a   High Uniformity
             −100
                                                                                                                                                      a    Very High Uniformity                        −100
                                                                                                                                                                                                                                                                                                                 a   Very High Uniformity


                        0                                      25                                      50                                     75                                  100                               0                                         25                              50           75                               100
                                                                                                   Mean Tail                                                                                                                                                                              Mean Tail




(a) All Artists Average Tail Vs Average Shelf Clus- (b) All Artists Average Tail Without Covers Vs Av-
    ter Membership                                      erage Shelf Without Covers Cluster Member-
                                                        ship

Figure 12: Cluster Membership Analysis


Table 4
Cluster Membership Breakdown Percentages
                                    Cluster Name                                                                               Artist % (Including Covers)                                                                                    Artist % (Not Including Covers)
                                    Very High Variety                                                                                                                                                          0.00                                                                                              0.00
                                    High Variety                                                                                                                                                               1.85                                                                                              0.62
                                    Moderate Variety                                                                                                                                                          12.96                                                                                              2.47
                                    Low Variety                                                                                                                                                               19.14                                                                                             25.31
                                    Low Uniformity                                                                                                                                                            40.74                                                                                             43.21
                                    Moderate Uniformity                                                                                                                                                       17.90                                                                                             21.60
                                    High Uniformity                                                                                                                                                            5.56                                                                                              6.17
                                    Very High Uniformity                                                                                                                                                       1.85                                                                                              0.62


C. Correlation Investigation and Discussions of Variety
Our analysis of artist variety explores comparisons of shelves and tails, and our single artist
level measure of variety, for comparisons between artists. The robustness of our notion of
variety can be explored for its capability to compare different tours and different artists, even
though different artists have different career characteristics, in terms of properties such as the
number of tours, tour show count sizes, show lengths, being active and touring within different
time periods and more. We explore the presence of correlation between our 𝑉 ̄ variety measure
and such properties, with the Pearson Correlation CoefÏcient calculated via:

                                                                                                                                                               𝑛(∑ 𝑥𝑦) − (∑ 𝑥)(∑ 𝑦)
                                                                                                                  𝑟=                                                                                                                                                                                                                    (13)
                                                                                                                                         2       2       2       2
                                                                                                                                  √[𝑛 ∑ 𝑥 − (∑ 𝑥) ][𝑛 ∑ 𝑦 − (∑ 𝑦) ]




                                                                                                                                                                                        824
The explored properties and results are shown in Table 5, and visualisation scatter plots of each
property against our 𝑉 ̄ measure are shown in Figures 13 – 16. Next, each property is outlined
and discussed.
Number of Tours: Our dataset includes artists with varying numbers of tours. Figure 13a
compares each artist’s tour count with their 𝑉 ̄ , showing no strong relationship between the
variables. The Pearson Correlation CoefÏcient value for these two variables is -0.1786.
Total Number of Shows: For the artists in our dataset, the overall number of shows varies.
Comparisons between artists’ total show count and their 𝑉 ̄ is shown in Figure 13b. Here, the
plot highlights there is no strong relationship between these variables; the Pearson Correlation
CoefÏcient value for these two variables is -0.0725.
Length of Tours: Within our dataset, the number of shows within our artists’ tours differs.
Comparisons between each artist’s average tour show count and their 𝑉 ̄ is shown in Figure 14a,
and the correlation value between these variables is 0.0908. The outlier in the plot is due to the
fact Bob Dylan’s ”Never Ending Tour” is ofÏcially billed as a single continuous tour spanning
from 1988 to present day and contains around 4000 shows. A plot with Bob Dylan excluded to
aid readability is shown in Figure 14b.
Average Show Length: For our set of artists, their average show length, in terms of the num-
ber of songs in the set-lists, varies. Comparisons of each artist’s average show Length and their
𝑉 ̄ is shown in Figure 15a, and the correlation value between these variables is 0.0952.
H-Index: The H-index is a scientific output metric that quantifies both the productivity and
citation impact of a researcher’s publications, where a scholar has an index of h if h of their
papers have been cited at least h times each [14]. We could consider this notion within the set-
list domain as a measure for an artist (instead of a researcher) and songs (instead of papers),
where an artist has a h-index of h if they have played h songs at least h times each. To calculate
this for each artist, the set of tours for an artist is combined and overall songs counts calculated
from which the H-Index can then be derived from. The plot comparing artists’ H-Index against
𝑉 ̄ is shown in Figure 15b, and the correlation value between these variables is 0.0630.
Artist Start Dates and Amount of Active Years (Groups Only): For the groups within our
artist dataset, information pertaining to the groups formation start date and, if applicable, dis-
bandment date (denoted as present day for still going groups) is retrieved from MusicBrainz.
Comparisons of each group’s start date and their 𝑉 ̄ is shown in Figure 16a, and the correlation
value between these variables is 0.0933. From this timeline data, the length of time each group
were/have been active for can be calculated (with groups that are still active measured up to
present day). Comparisons of each group’s Years Active and their 𝑉 ̄ is shown in Figure 16b,
and the correlation value between these variables is -0.0952.
    The set of correlation values for these properties against 𝑉 ̄ is shown in Table 5. Considering
correlation strength classified as, Very Weak Correlation: |𝑟| < 0.2, Weak Correlation: 0.2 ≤
|𝑟| < 0.4, Moderate Correlation: 0.4 ≤ |𝑟| < 0.6, Strong Correlation: 0.6 ≤ |𝑟| < 0.8, Very
Strong Correlation: |𝑟| ≥ 0.8 [12], Table 5 highlights how our 𝑉 ̄ variety measure has only very
weak correlation to all these properties. This suggests the measure is robust across the varying
properties for our artists, and that comparisons between artists are not unduly impacted by
these variations.




                                               825
Table 5
Correlation Data Analysis
           Property Name                                                                                               Correlation                                    Min Value                       Max Value                            Standard Deviation
           Number of Tours                                                                                                    -0.1786                                 5                               38                                                            6.2613
           Total Number of Shows                                                                                              -0.0725                                 209                             3541                                                        518.9224
           Length of Tours                                                                                                     0.0908                                 23.87                           393.4                                                        35.7931
           Average Show Length                                                                                                 0.0952                                 12.87                           57.52                                                         5.7834
           H-Index                                                                                                             0.0630                                 28                              126                                                          15.6733
           Artist Start Date (Groups Only)                                                                                     0.0933                                 1962-01-01                      2011-01-01                                                           –
           Active Time in years (Groups Only)                                                                                 -0.0952                                 5.999                           62.52                                                          11.6033




                                                                                                                                                                                                                                        bob−dylan
                                                     slayer



                                                          korn
                                                                           elton−john−and−billy−joel
                                                                                                                                                                      3000
                                                                                elton−john
                  30
                                                                         yes                                                                                                                                                          elton−john
                                                                                                                                                                                                                         elton−john−and−billy−joel
                                                                  kiss                   jethro−tull
                                                                                                                                              Total Number of Shows




                                                          the−cure megadeth
                                           iron−maiden                                                                                                                                       iron−maiden
Number of Tours




                                                                  queensrÿche                                                                                                                                     kiss
                                                                            bruce−springsteen                                                                                                                                              bruce−springsteen
                                             def−leppard in−flames                                 frank−zappa
                                                                      metallica                                                                                       2000                         def−leppard           yes
                             rush
                  20                                 marilyn−manson            dream−theater                                                                                                            slayer queensrÿche deep−purple
                                         ghost
                                                         zz−top    weezer incubus       aerosmith                                                                                                               metallica dream−theater
                                         slipknot
                                                                                                                                                                                      rush                  acdc
                                               depeche−mode                                                                                                                                                        weird−al−yankovic aerosmith
                                                                            the−who
                                                                van−halen                 grateful−dead                                                                                    depeche−mode judas−priest
                                                mötley−crüe                       u2
                                                             judas−priest                                                                                                                                                megadeth jethro−tull bon−jovi
                                                                                                         frank−turner                                                                                  korn
                                                   eagles acdc                                  bon−jovi                                                                                                       van−halen          u2
                                                                       pixies                                                                                                             mötley−crüe                                              frank−turner
                                                                                    primus wilco r.e.m.       umphrey's−mcgee                                                                           marilyn−manson muse
                                                                                                                                                                                                eagles                                                        red−hot−chili−peppers
                                          madonna                                                 pearl−jam                                                                                                                                 coldplay
                                                                                                              red−hot−chili−peppers                                   1000                         tina−turner zz−top            deftones                r.e.m.
                  10                    pink−floyd paramore                                      beck billy−joel                                                                                                                           foo−fighters
                                                                                                                                                                                                                                                          billy−joel
                       britney−spears                                                                                                                                               roger−waters slipknot                       eric−clapton wilco
                                                                                             coldplay                                                                                                                                                 frank−zappa
                                                sigur−rós                                                                                                                                               cher
                                                                                                                                                                             britney−spears madonna
                               roger−waters                                                              cheap−trick yo−la−tengo                                                                                                              the−killers taylor−swift
                                          beyoncé                                               nofx         taylor−swift                                                               ghost  pink−floyd
                                                     cher                                      the−killers                                                                                         beyoncé       opeth                  pearl−jam cheap−trick umphrey's−mcgee
                                                                                                                                                                                                      paramore                                  beck
                                                                                                                                                                                                                                                                yo−la−tengo
                                                                                                                                                                                               sigur−rós velvet−revolver
                                                                                                                                                                                                                          you−me−at−six          nofx
                   0                                                                                                                                                     0

                        −100                        −50                           0                           50                      100                                    −100                     −50                         0                       50                   100
                                                                               Variety                                                                                                                                         Variety

                                            (a) Number of Tours Vs 𝑉 ̄                                                                                                              (b) Total Number of Shows Vs 𝑉 ̄

Figure 13: Number of Tours and Total Number of Shows Correlation Analysis




                                                                                                                                            826
                                          400                                                                                                                                                                                                   cher
                                                                                                               bob−dylan                                                                                                                            tina−turner
                                                                                                                                                                                                                150


                                                                                                                                                                                                                                                                                               the−killers
Length of Tours (Average Shows PerTour)




                                                                                                                                                                      Length of Tours (Average Shows PerTour)
                                                                                                                                                                                                                                                                      placebo

                                                                                                                                                                                                                                                                   arctic−monkeys     rise−against coldplay
                                          300                                                                                                                                                                                                                                       kasabian
                                                                                                                                                                                                                                                            acdc                                 the−national
                                                                                                                                                                                                                                                                                     imagine−dragons red−hot−chili−peppers
                                                                                                                                                                                                                                    roger−waters       deep−purple
                                                                                                                                                                                                                                                                 queens−of−the−stone−age bon−jovi
                                                                                                                                                                                                                                                 the−black−keys
                                                                                                                                                                                                                100                                      nightwish
                                                                                                                                                                                                                                                                         biffy−clyro          faith−no−more
                                                                                                                                                                                                                                        iron−maiden
                                                                                                                                                                                                                                                                          oasiscéline−dion          taylor−swift
                                                                                                                                                                                                                                                          weird−al−yankovic
                                                                                                                                                                                                                                          def−leppard                       editors      bruce−springsteen billy−joel
                                                                                                                                                                                                                         britney−spears         eagles van−halen                      green−day        r.e.m.
                                                                                                                                                                                                                                      beyoncé                                             foo−fighters
                                          200                                                                                                                                                                                rush                                                     eric−clapton
                                                                                                                                                                                                                                           depeche−mode                                                frank−turner
                                                                                                                                                                                                                                                                                   radiohead
                                                                                                                                                                                                                                  pink−floyd
                                                                               cher                                                                                                                                                                                                    arcade−fire

                                                                                 tina−turner                                                                                                                                                 madonna                                  u.d.o.     wilco
                                                                                               arctic−monkeys
                                                                                                                          the−killers                                                                                                                                                   jethro−tull
                                                                                               placebo    rise−against                                                                                                                                                                                cheap−trick
                                                                                                                    the−national coldplay                                                                        50                                    slayer              yellowcard
                                                                 roger−waters           acdc                                                                                                                                                                                       primus           pearl−jam yo−la−tengo
                                                                                               deep−purple kasabian      bon−jovi                                                                                                        slipknot
                                                                                                                                                                                                                                                    korn        opeth
                                                                          iron−maiden                                                                                                                                                                                           the−offspringbeck                    umphrey's−mcgee
                                          100           britney−spears                                                           red−hot−chili−peppers                                                                                  sigur−rós                 the−cure incubus
                                                                                                                                                                                                                                                                                     limp−bizkit frank−zappa
                                                                        beyoncé                                                                                                                                                              linkin−park        neil−young
                                                                                                                                                                                                                                     ghost                                                        nofx
                                                           rush pink−floyd                                                          frank−turner                                                                                                    paramore        jane's−addiction the−flaming−lips
                                                                                                                           wilco
                                                                         madonna                                                  cheap−trick yo−la−tengo                                                                                              rob−zombie
                                                                                                                                                                                                                                                                                           grateful−dead
                                                                    slipknot                                               beck    pearl−jam
                                                                                                                                              umphrey's−mcgee
                                                                          sigur−rós                                            nofx
                                                                ghost                  rob−zombie                   grateful−dead

                                               0                                                                                                                                                                  0

                                                     −100                        −50                        0                         50                      100                                                      −100                         −50                         0                            50                   100
                                                                                                       Variety                                                                                                                                                             Variety

                                                                         (a) Length of Tours Vs 𝑉 ̄                                                                                                                   (b) Length of Tours Vs 𝑉 ̄ (sans Bob Dylan)

Figure 14: Length of Tours Correlation Analysis




                                          60
                                                                                                                              nofx
                                                                                                                                                                                                                                                                                 bob−dylan




                                                                                                                                                                                                                                                                                     bruce−springsteen

                                                                                                                               pearl−jam                                                                        100
                                                                                                     anthrax                                                                                                                 rush                                        dream−theater
                                                                                                                                                                                                                                                        the−cure
                                                                                                                                                                                                                                          paul−mccartney           weird−al−yankovic jethro−tull
                                                                                                                                                                                                                                                                                                         r.e.m.
                                          40
                                                                                                                                                                      Overall Careear H−Index




                                                                                                                                                                                                                                                                                       u2
                                                                                                                                                                                                                                     depeche−mode queensrÿche david−bowie
Average Show Length




                                                                                                                                                                                                                                   iron−maiden van−halen muse                   elton−john bon−jovi pearl−jam
                                                                                     the−cure neil−young                                                                                                                                madonna                          yes
                                                                                                            primus grateful−dead                                                                                                                             metallica       placebo aerosmith         taylor−swift
                                                                linkin−park paul−mccartney the−offspring                                                                                                                              def−leppard slayer
                                                                                                                           cheap−trick                                                                                                                                                primus        coldplay red−hot−chili−peppers
                                                                           paramore opeth scorpions                                                                                                                                roger−waters
                                                                                                                                                                                                                                                                       kiss
                                                                                                      the−flaming−lips beck                                                                                                                                korn
                                                                        eagles guns−n'−roses pixies                                                                                                                                                                      pixies radiohead wilco foo−fighters
                                                                                                                                                                                                                                                   eagles
                                                                                                                                                                                                                       britney−spears                                                                nofx
                                                         rush      beyoncé              exodus           heart        wilco                                                                                                             beyoncé              zz−top                                          frank−turner
                                                                                 zz−top
                                                              roger−waters                                limp−bizkit r.e.m.        yo−la−tengo                                                                                                tina−turner                                   green−day         billy−joel umphrey's−mcgee
                                                                                                                                                                                                                                  pink−floyd                                                       beck
                                                               ghost                                                                 taylor−swift                                                                50                           slipknot                                                               yo−la−tengo
                                          20                                                                                                                                                                                                    cher                                          the−killers
                                                               pink−floyd                                                                                                                                                         ghost
                                                                                                                                                                                                                                                          rob−zombie                   limp−bizkit
                                                   britney−spears                                                                           umphrey's−mcgee
                                                                   sigur−rós                                                                                                                                                               sigur−rós                lynyrd−skynyrd foals
                                                                                                                                                                                                                                 lamb−of−god                                        two−door−cinema−club
                                                                         iron−maiden                    epica                                                                                                                                     five−finger−death−punch
                                                                                          tool
                                                                                                                 foals                                                                                                                             velvet−revolver            jane's−addiction




                                           0                                                                                                                                                                      0

                                                    −100                        −50                        0                          50                      100                                                      −100                         −50                         0                            50                   100
                                                                                                      Variety                                                                                                                                                              Variety

                                                                (a) Average Show Length Vs 𝑉 ̄                                                                                                                                                         (b) H-Index Vs 𝑉 ̄

Figure 15: Average Show Length and H-Index Correlation Analysis




                                                                                                                                                                    827
                                                 noel−gallagher's−high−flying−birds                                                                                                                                        the−rolling−stones
                                                            twenty−one−pilots                                                                                                                                 lynyrd−skynyrd scorpions
                                      ghost                                                    imagine−dragons                                                                 60                                                                the−who
                                                florence−+−the−machine   two−door−cinema−club
                                                                                                                                                                                                                                        yes                 jethro−tull
                                   five−finger−death−punch you−me−at−six                   foals                                                                                                                       judas−priest
                                                                                                                                                                                                                                        deep−purple
                                                      paramore                                                                                                                                                     zz−top
                                                                   bullet−for−my−valentine                                                                                                                                                                      aerosmith
                                                                                                 kaiser−chiefs                                                                                                  eagles           queen       journey
                                               velvet−revolver                                                                                                                                                            acdc                          heart
                                                                                            arcade−fire                                                                              pink−floyd iron−maiden                            kiss                          cheap−trick
                                                                                                            the−killers                                                                                                                      black−sabbath
                    2000                          lamb−of−god mastodon trivium rise−against                                                                                              rush                    van−halen the−cure                             u2
                                                                                                          the−national
                                                    linkin−park interpol                                                                                                                               def−leppard               exodus            whitesnake
                                                                                                                         umphrey's−mcgee
                                                                                                                                               Length of Active Time (Years)

                                                                                             kasabian coldplay                                                                               depeche−mode mötley−crüe                    queensrÿche
                                           slipknot       disturbed            biffy−clyro                  queens−of−the−stone−age
                                                                                                                                                                                                                          metallica           anthrax          bon−jovi
                                                           nickelback                                       foo−fighters
                                                                                                                                                                                                                  guns−n'−roses               pixies                    nofx
                                            sigur−rós                weezer             limp−bizkit wilco                                                                      40                       slayer                                        primus u.d.o.                yo−la−tengo
Active Start Date




                                                            korn                      him radiohead                                                                                                  nine−inch−nails jane's−addiction iced−earth green−day
                                                               in−flamesoasis                                pearl−jam
                                                                           tool incubus           deftones                                                                                                            opeth        tool                 deftones pearl−jam
                                                           opeth                    iced−earth                                                                                                                                            incubus
                                        nine−inch−nails             marilyn−manson                 green−day                                                                                                               in−flames                                       r.e.m.
                                                                                                                                                                                                                                                       radiohead
                                                              jane's−addiction alice−in−chains        u.d.o.                                                                                               sigur−rós                                                wilco
                                                                                                                                                                                                                         korn
                                                                           pixies              primus                   yo−la−tengo                                                                                                                        limp−bizkit foo−fighters
                                                       guns−n'−roses                                     nofx                                                                                         slipknot      disturbed                  biffy−clyro
                                                                             dream−theater                                                                                                                               nightwish interpol                      coldplay          umphrey's−mcgee
                                                      mötley−crüe the−cult                       bon−jovi red−hot−chili−peppers                                                                          linkin−park
                                                                                   anthrax                                                                                                                                                         rise−against the−national
                                                        slayer metallica queensrÿche                                                                                                                            avenged−sevenfold
                    1980          depeche−mode                                                                                                                                                                                                      arcade−fire the−killers
                                                                                                         r.e.m.                                                                                                  paramore
                                                       def−leppard exodus              whitesnake                                                                              20                                                       you−me−at−six kaiser−chiefs
                                                         the−cure motörhead                                                                                                                             five−finger−death−punch                        foals
                                                                                        tom−petty−and−the−heartbreakers                                                                                                                  oasis
                                         iron−maiden    acdc                     u2                                                                                                                                                                                imagine−dragons
                                                                   kiss                     cheap−trick                                                                                        ghost                                florence−+−the−machine
                                                     van−halen                                                                                                                                               twenty−one−pilots                            two−door−cinema−club
                                                                        journey heart                                                                                                                          noel−gallagher's−high−flying−birds
                                                               queen                   aerosmith
                                                 eagles         judas−priest
                                  rush
                                                                              black−sabbath
                                                      zz−top
                                                                 yes deep−purple jethro−tull                                                                                                                       velvet−revolver
                                       pink−floyd          scorpions                         grateful−dead

                                                         lynyrd−skynyrd the−who
                                                                                                                                                                                0
                                                               the−rolling−stones
                    1960
                           −100                    −50                           0                          50                         100                                          −100                        −50                          0                          50                           100
                                                                           Variety                                                                                                                                                      Variety

                           (a) Artist Start Date (Groups Only) Vs 𝑉 ̄                                                                                                               (b) Artist Active Years (Groups Only) Vs 𝑉 ̄

Figure 16: Start Date and Active Years Correlation Analysis (Groups Only)




                                                                                                                                             828