Atonal music theory / An introduction to atonal music theory through abstract algebra.
Analyzing post-tonal or atonal music is a far-cry from classical musical analysis of functional harmony. If you've studied classical theory, the familiar jargon (tonic chords, dominant chords, tonicization, modulation, etc.) is done away with. In its stead we are left with numbers, sets, and transformations; entities that are deeply rooted in mathematics. So before discussing anything about music, it's more than appropriate to familiarize ourselves with this math that will be in the background of all post-tonal analysis.