The topos of music
by Guerino Mazzola · first published 2002
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Another mathematical theory using group theory is: The Topos of Music: Geometric Logic of Concepts, Theory, and Performance by Guerino Mazzola. He shows that music lives in the Z12 group and chords are invariant subgroups. Interesting read.
on “Phase transitions: the math behind the music” ↗In a similar vein, there's the Topos of Music book[0], which, according to Wikipedia, has been somewhat controversial among mathematicians and musicians alike. [0] https://www.amazon.com/Topos-Music-Geometric-Concepts-Perfor...
on “The Mathematics of Music [pdf]” ↗…timbre and harmony. It starts by exhibiting a (synthetic) instrument whose octaves are dissonant, and the music that you can do with it. Then it doubles down on this idea to obtain a lot of fun. * The Topos of Music, Guerino Mazzola. Really hardcore mathematical music theory, too scary for simple people like me. EDIT: regarding telescopes for seeing timbre... have you ever seen an spectrogram? You can install…
on “The Ghost in the MP3 (2014)” ↗…seems to be saying, then you have no business trying to understand Mozart." https://en.wikipedia.org/wiki/Guerino_Mazzola The critic, Tymoczko, is the author of A Geometry of Music. Oh, his review of Topos of Music is online. http://dmitri.mycpanel.princeton.edu/files/publications/mazz... (PDF) Abstract: This paper critiques Guerino Mazzola’s derivation of traditional counterpoint rules, arguing that…
on “The Mathematics of Music [pdf]” ↗