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Joseph O'Rourke
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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.jpgTrichord Prism

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

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

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Source Link
Joseph O'Rourke
  • 150.9k
  • 36
  • 358
  • 958

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