After digging a bit into math approach to music, I'd agree with mhh__. Music is the business of making vibrations sound good. Definition of "good" is cultural a

After digging a bit into math approach to music, I'd agree with mhh__. Music is the business of making vibrations sound good. Definition of "good" is cultural and changes with times (see Devil's interval). The standard mathematical approach to music starts from axioms that are only applicable to western music and imply no evolution. Maybe linguistic methods would serve composers better, as they deal in similar problems: how to to create meaningful whole from meaningless parts that relate to each other in complex way. Just as linguistics, music involves not only the mechanics of ear sensing, but also pattern recognition machine that likes to have just the right amount of repetition, and just the right amount of new stuff.