You may be interested in Dimitri Tymoczko's 2011 book A Geometry of Music (author link; Oxford link):
he
"describes a new framework for thinking about music that emphasizes the commonalities among styles from medieval polyphony to contemporary rock."
As an example his work, he's made a video of Chopin's E minor prelude
"as it travels through a slice of the four-dimensional space containing seventh chords."
Trichord Prism http://cs.smith.edu/%7Eorourke/MathOverflow/TrichordPrism.jpg
Joseph O'Rourke
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