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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>From Pixels to Notes: A Computational Implementation of Synaesthesia for Cultural Artefacts</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Dimitrios Kritikos</string-name>
          <email>just.jim.d.k@gmail.com</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Kostas Karpouzis</string-name>
          <email>kkarpou@cs.ntua.gr</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Artificial Intelligence and Learning Systems Lab, National Technical University of Athens</institution>
          ,
          <addr-line>Athens</addr-line>
          ,
          <country country="GR">Greece</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2020</year>
      </pub-date>
      <abstract>
        <p>Synaesthesia is a condition that enables people to sense information in the form of several senses at once. This work describes a Python implementation of a simulation of synaesthesia between listening to music and viewing a painting. Based on Scriabin's definition, we developed a deterministic process to produce a melody after processing a painting, mimicking the production of notes from colours in the field of view of persons experiencing synaesthesia.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>CCS CONCEPTS</title>
      <p>• Human-centered computing; • Applied computing →
Digital libraries and archives; Media arts; • Social and professional
topics → Cultural characteristics;</p>
    </sec>
    <sec id="sec-2">
      <title>INTRODUCTION</title>
      <p>
        Synaesthesia [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] is a neurological condition that enables the brain
to process and sense information in the form of several senses at
once, despite experiencing only one or some of them. For example,
a person with synaesthesia may hear sounds while also visualizing
them as colours. Synaesthesia may be encountered in many forms,
the most usual being chromaesthesia [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ], where a person interprets
a music or sound signal as colours. Other forms include:
• Lexical-gustatory [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ], where hearing words is accompanied
by the sense of certain tastes
• Mirror-touch [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ], where people may sense being touched
merely being watching other people touching parts of their
body
• Grapheme-color [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ], where people associate letters and
numbers with colours, with each number corresponding to
a diferent colour for diferent persons
      </p>
      <p>
        In general, synaesthesia may also be correlated with emotions,
which makes sense since emotions ([
        <xref ref-type="bibr" rid="ref16">16</xref>
        ], [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ]) are triggered in
specific areas of the brain [
        <xref ref-type="bibr" rid="ref21">21</xref>
        ], which may also participate in processes
related to synaesthesia. According to Simner [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ], synaesthetes
comprise about 4% of the general population; that percentage seems to
be higher among artists of any kind. Synaesthesia is also probably
hereditary [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ] with more than 40% of synaesthetes having a
fristdegree relative experiencing the same condition. Emotion-aware
mapping ([
        <xref ref-type="bibr" rid="ref24">24</xref>
        ]) or matching of music to images usually takes place
at a higher level than pixels, i.e. by incorporating shapes, places
or events ([
        <xref ref-type="bibr" rid="ref25">25</xref>
        ], [
        <xref ref-type="bibr" rid="ref26">26</xref>
        ]) included in an image or music genres in the
process.
      </p>
      <p>
        This work aims to simulate the form of synaesthesia which
happens when individuals are listening to music and viewing a painting.
This combination is interesting, since both media are essentially
based on receiving and experiencing waves, in terms of perception
([
        <xref ref-type="bibr" rid="ref27">27</xref>
        ]): sound waves collected by the human ear and light waves
falling on cones and rods in the human eye and ultimately being
translated to colours [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ]. There have been a number of
computational approaches regarding the transformation of an image to
an audio file, most notably PixelSynth [
        <xref ref-type="bibr" rid="ref22">22</xref>
        ] and Spectrogram audio
player (SAP) [
        <xref ref-type="bibr" rid="ref23">23</xref>
        ]. Pixelsynth was created by artist and coder Olivia
Jack and works with monochrome images by mapping luminosity
to note; its web-based implementation ofers a limited selection of
interactive tools (e.g. image rotation) for users to change the result
of the conversion. SAP utilises the concept of a spectrogram, i.e. a
visual representation of the spectrum of frequencies of sound or
other signal as they vary with time, and allows users to change the
length of the output audio file or sampling density of the image.
      </p>
      <p>Both of the above-mentioned implementations ofer an insight
to the world of synaesthesia, but the mapping they utilise is either
arbitrary or based on the spectral (and not visual) representation
of the image, leading to diferent properties of the colours being
used. Based on theoretical approaches of synaesthesia, as well as
mappings described by a prominent synaesthete, we developed
a deterministic process to produce a melody when processing a
painting, mimicking the production of notes from colours in the
ifeld of view of a person experiencing synaesthesia. Our purpose
was to investigate whether diferent painting styles and object
arrangements in paintings and drawings would produce similarly
arranged music melodies. Our implementation was coded in Python,
and typically takes around 5 seconds for a 1920x1080 image on an
i7 laptop computer.
2</p>
    </sec>
    <sec id="sec-3">
      <title>ALGORITHM DESIGN</title>
      <p>Designing and implementing a system which mimics synaesthesia
between images and music starts with identifying a correlation
between each color and a note. Since we cannot fully comprehend
the process which takes place in a synaesthete’s brain, our best bet
is to formalize their accounts of how they perceive the connection
between colors and notes.</p>
      <p>A well-known mapping of image colours to music notes is based
on the work of Alexander Scriabin, a Russian composer who also
authored an index of colour representations between music notes,
based on his own perception of synaesthesia. In this work, we will
build upon this mapping to transform a painting into a sequence of
music notes, incorporating higher-level concepts, such as colour and
music harmony, in the process. Besides his work in music, Scriabin
produced an index which maps notes to colors, according to his
own perception. This elementary mapping (see Figure 1) is based
on elementary, saturated color tones and needs to be extended in
order to capture the variations found in paintings or photographs.</p>
      <p>
        A more flexible color representation utilizes 3 dimensions on the
form of a color cone, where the two dimensions of the base describe
the color hue (the actual color information, usually depicted with a
label, e.g. ‘green’ or ‘red’) and the saturation (how clear a color is
or, conversely, how much white or black has been used to ‘wash it
out’) and the third dimension of the cone describing the amount of
light used (how bright the color is). This representation, which is
quite close to how humans perceive and verbally describe color, can
then be mapped to the usual RGB color encoding, found in digital
representations of paintings (files or computer screens). In addition
to this, and to further enhance the variety of the notes produced
when processing a digital image, we also take into account color
harmonies [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ]. There are 6 main classes of color harmonies:
• Complementary colors, i.e. colors at opposite sides of the
color circle (or the base of the color cone)
• Analogous colors, i.e. neighboring colors which difer by 30
degrees on each side (left and right on the color circle)
• Split-complementary colors, a triad consisting of two
analogous colors and the complementary of one of them
• Triad colors, which form an isosceles triangle (difer by 60
degrees)
• Tetradic colors, formed by two pairs of complementary
colors, and
• Square, where colors difer by 90 degrees, forming a square
on the color circle or the base of the color cone
In our implementation, color harmonies are recognized by
processing the image and then mapped to music chords to provide a richer
tune. We also take into account the mean luminosity of each image
segment: if the segment is darker than the mean luminosity of the
image, we utilise a minor chord, while for a brighter segment, the
chord used in in major. This is in line with our general perception
of melancholic music being correlated with darker colors.
2.1
      </p>
    </sec>
    <sec id="sec-4">
      <title>Music tempo and volume</title>
      <p>Beginning by segmenting the image from left to right, the tempo
of the sequence is calculated upon the saturation of colours in
each segment: a slow tempo (around 75 beats per minute – bpm) is
the result of low saturation colours, while higher saturation may
produce tempos up to 160 bpm.</p>
      <p>Following from that, our algorithm chooses which notes to play
for the particular image segment, taking into account the percentage
of pixels in the segment which correspond to each of the primary
colours, as per Scriabin’s definition: if one of those colours is found
in more than 5% of the segment pixels, then the corresponding
note is included in the music sequence. In the same framework,
the volume for each note is calculated with respect to the mean
luminosity of the relevant pixels, while its value (i.e. duration) is
based on the variety of the colours in the segment: the richer in
colours, the shorter each note in the music sequence.
3</p>
    </sec>
    <sec id="sec-5">
      <title>IMPLEMENTATION</title>
      <p>From Pixels to Notes: A Computational Implementation of Synaesthesia for Cultural Artefacts
The overall pipeline is summarized in the following sequence:
(1) Our implementation starts with downsizing the input image
(painting or photo); this step has limited efect on the actual
color harmonies and richness, but results in a much faster
implementation
(2) Then, the image is filtered to eliminate very bright or very
dark pixels, which do not contribute to the mapping process,
since they carry very little color information
(3) The remaining pixels are mapped to each of the 12 segments
of the color model; the algorithm only takes into account
parts of the color model with more than 5% of the image
pixels
(4) Participating colors are then ranked according to number of
pixels in the image and checked for color harmonies
(5) The color information is then mapped to notes, each with
a diferent volume, depending on the average saturation of
the respective pixels: the clearer a color is, the higher the
volume of the respective note
(6) Chords are calculated and possibly transformed into major
or minor, according to the luminosity of the segment
(7) Finally, the melody is composed into a MIDI sequence</p>
      <p>This process yields a calm melody when image colors are softer
and an uptempo (faster) melody for images with greater color
variety. As mentioned before, darker colors result to minor chords,
which matches the general conception of an imposing melody.
4</p>
    </sec>
    <sec id="sec-6">
      <title>CONCLUSION</title>
      <p>
        This paper describes the implementation of a system which
produces a music melody based on the colors (values and harmonies)
of a painting or photo, simulating synaesthesia. This algorithm can
be used to design audiovisual cultural experiences or interactive
applications [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ]. The mapping process is based on input from a
prominent synaesthete, who was also a composer; despite the
inherent subjectiveness of the color-to-note mapping, the algorithm
results in melodies which conform to our general conception of
how diferent color values correspond to faster vs. slower melodies
or richer vs simpler chords.
      </p>
    </sec>
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