Inspired mostly by Tom Fiore’s presentation in his excellent Music and Mathematics writing (found via John Baez from week 234 of TWFIMP), I am trying to understand the extent to which group theory can be used to analyze music. I’ve narrowed my sights at the moment to trying to understand the so-called ice cream changes (see also here), which is analyzed briefly on page 28 of Fiore’s writing above. Since I don’t know music theory or group theory very well, I’m picking up what I need as I go along. The next thing I’m trying to understand is centralizers, specifically in the context of the T/I and PLR groups.
I also recently spent time setting up Overtone, a music programming environment for Clojure. This is the best means I have for producing musical sounds at the moment, and I also find a programmatic environment to be pretty convenient for generating transpositions/inversions/other transforms of chords and sequences. It helps that I’m already familiar with Clojure.
Inspired mostly by Tom Fiore’s presentation in his excellent Music and Mathematics writing (found via John Baez from week 234 of TWFIMP), I am trying to understand the extent to which group theory can be used to analyze music. I’ve narrowed my sights at the moment to trying to understand the so-called ice cream changes (see also here), which is analyzed briefly on page 28 of Fiore’s writing above. Since I don’t know music theory or group theory very well, I’m picking up what I need as I go along. The next thing I’m trying to understand is centralizers, specifically in the context of the T/I and PLR groups.
I also recently spent time setting up Overtone, a music programming environment for Clojure. This is the best means I have for producing musical sounds at the moment, and I also find a programmatic environment to be pretty convenient for generating transpositions/inversions/other transforms of chords and sequences. It helps that I’m already familiar with Clojure.
Good for you for learning this material. Let me know if you want more suggestions for things to read concerning group theory and music theory.