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mathoverflowUser
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Disclaimer: I will report from my point of view, which might be boring to some.

I have been experimenting with algorithmic music from the mathematical point of view since Covid, not so much from music point of view, and I would like to point to a positive definite kernel for measuring the consonance of two pitches: $$k(a,b) = \frac{\gcd(a,b)^2}{ab}$$ The description can be find here. From the "sonification of math" point of view, I would like to mention the #InfinitePiChallenge where there are given infinitely many formulas for calculating $\pi$ and the challenge is to pick one formula and sonify it. I did that with a few formulas, two of which I like to highlight:

Convergence I, #InfinitePiChallenge for Violin and Cello

Convergence II, #InfinitePiChallenge for Piano

Here you can find a graph theoretic approach to music generation with prime numbers.

And here you can find an experiment with roots of unity sonified with supercollider.

Do not forget the subtle sonification of some prime numbers, which I have forgotten how I sonified it.

mathoverflowUser
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