![]() Stepping the "hue" of a color in 12 steps gets you those. ![]() The scale (12th in the octave, 7th in the major scale). Then the 12 tertiary colors take us up to the leading tone of So that should be an obvious thing to map. There are 12 tertiary colors and there are 12 tones in an octave. Here's some off the wall thing I found about music, this might be the sort of tool you are looking to use: NASA, NOAA, and many astronomy images use pseudo-color: You might want to see how scientists use pseudo-color to assist in illustrating a condition or concept. Many artists have tried to correlate color with sound so it is definitely a notion that has been around for a long time. It might be interesting to perhaps make up your own. This would be an arbitrary process as there is no way to convert say "A" 440 Hz into a specific wave length of light. There is no standard for converting musical notes into colors. My answer below from 7 years ago should now read that there is a way to covert A 440 Hz to a color, but not necessarily every note is so secure to have a color such as E through F# appear to be on the borders. This update (2-28-2021) shows a more scientific way to convert music to color but still has a lot of room for arbitration. Also, visible light is both made of particles and waves, where audio is simply waves. Additionally, the audio spectrum we can hear is about 10 octaves, so it is arbitrary which of the 10 audio octaves to convert the color. For one thing the visible spectrum is just shy of an octave, 400–790 THz so trying to make a full octave means that if you start with Red, the top note won't be visible or if you start with infrared to see the highest note then the lowest note might not be visible. This update suggests a standard way to convert notes into colors, but still there is some room for interpretation. Here is a graphic that demonstrates the conversion of light to sound. For example, if you raise "the note A 440 Hertz" forty octaves it's frequency is close to 483.79 THz which is in the range of the color orange. Or go from a color's frequency and divide by the same constant and derive a tone. This is achieved by doubling the tone as in raise an octave but do this 40 times to reach visible light frequencies.
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