09.19.06 - Musimathics: The Mathematical Foundations of Music, Volume 1 [MIT Press, 2006]

I’m particularly interested in Chapter 9: Composition and Methodology. Topics in this chapter include:

9.1 Guido’s Method 285
9.2 Methodology and Composition 288
9.3 Musimat: A Simple Programming Language for Music 290
9.4 Program for Guido’s Method 291
9.5 Other Music Representation Systems 292
9.6 Delegating Choice 293
9.7 Randomness 299
9.8 Chaos and Determinism 304
9.9 Combinatorics 306
9.10 Atonality 311
9.11 Composing Functions 317
9.12 Traversing and Manipulating Musical Materials 319
9.13 Stochastic Techniques 332
9.14 Probability 333
9.15 Information Theory and the Mathematics of Expectation 343
9.16 Music, Information, and Expectation 347
9.17 Form in Unpredictability 350
9.18 Monte Carlo Methods 360
9.19 Markov Chains 363
9.20 Causality and Composition 371
9.21 Learning 372
9.22 Music and Connectionism 376
9.23 Representing Musical Knowledge 390
9.24 Next-Generation Musikalische Würfelspiel 400
9.25 Calculating Beauty 406

The entire table of contents is listed here: http://musimathics.com/ (although the website looks like it’s been around since 1992, the book was recently published). I’ll likely end up purchasing Volume II, though there seems to be a fairly large overlap with other books/manuals I’ve read.