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> The kind of math musicians talk about are elementary ratios that concern the relationships between tones and between frequencies, nothing to write home about.

Perhaps in general this is often true, but Guerino Mazzola might have a thing or two to say about that, having published work applying topos theory to music.[1][2] Admittedly it appears to meet with some controversy and I haven't studied his work myself. My apologies for not having any more accessible links on hand to the subject material.

[1] https://en.wikipedia.org/wiki/Guerino_Mazzola

[2] https://www.amazon.com/Topos-Music-Geometric-Concepts-Perfor...

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