Finally, David Lewin’s book on generalized interval systems was back in the library today. I had a look at it for an hour or so and while I didn’t get enough into it to see any musical applications that I didn’t already know about, I saw that a lot of his mathematics could be rephrased and tossed around to make the whole picture a lot more mathematical.
So excited was I that I started writing it up straight away (well, it’s not too exciting, but I was feeling enthusiastic because I recognised a natural transformation :) ).
Anyway, here’s what I managed to sketch this evening:
Some Formalizations in Musical Set Theory PDF or Postscript
Given that that was based on less than an hour’s reading, I think I’ll be able to get a lot more fun out of this book over the summer :) woo!
I also upped the contents of an email I wrote to mathstuff yesterday on the the uses of covering spaces in music theory. It can be found here.
ALSO, I put up some sketchy illustration/diagrams describing Mazzola’s composition structures:
Sketches of Objective Local and Global Compositions
So yes. Guess who’s not getting much study done at the moment?