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.