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color wheel, and sound wheel
Perhaps one way to get into this is to place frequencies (or wavelengths) onto the color wheel.
Does every color have a unique frequency?
What is the frequency of white? or grey?
I take the color wheel to be a psychometric in interpretation, but metric in its representation.
Is it possible to determine whether the 'sound wheel' being sought is a metric or psychometric object?
Another aspect that I have difficulty with [at one level] is that while color exists 'outside of time' (almost), sound doesn't. Also, most sounds have on-going spectral transformation (except those sine tones found in psychology experiments ... ) but may be this is not about how 'real sounds' occur in nature, but is about something else.