Are there any good books on musical theory from a mathematical standpoint? Is "Music theory and mathematics : chords, collections, and transformations", edited by Jack Douthett, Martha M. Hyde, and Charles J. Smith, one on them?
If you like category theory and topos theory you might want to look at Mazzolas, Topos of Music: Geometric Logic of Concepts, Theory, and Performance
Besides the ones already mentioned, there is A Geometry of Music: Harmony and Counterpoint in the Extended Common Practice by Dmitri Tymoczko, which takes an orbifold approach.
If you want to understand scales from a mathematical/dsp perspective, and why a certain scale is the most "natural" for the music of a given instrument or culture, you should check out Tuning, Timbre, Spectrum, Scale by Sethares.
I don't think it's explicitly mathematical, but Peter Westergaard's An Introduction to Tonal Theory might be appealing (I haven't read it myself).
There is also a blog which seems to have much about it:
Don't know the book you cite, but some good references are:
Mathematical Theory of Music, by Franck Jedrzejewski Also by him, and Tom Johnson, Looking at Numbers, might interest you as well Of course the one mentioned above Topos of Music, though in my opinion tends to take things a little too far from music. Music and Mathematics: from Pythagoras to fractals, from Oxford University Press Fractals in Music, by Charles Madden. These last two seem to me a lot more adequate as music theory books.
Math and Music
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Along our colleagues contributions (Mazzola and Tymoczko), check out David Lewin’s “Generalized Musical Intervals and Transformations”. Also search a few papers by Richard Cohn.
In the rhythm domain, Godfried Toussaint’s “The Geometry of Musical Rhythm” and Miles Okazaki’s “Visual Reference for Musicians”.