Fractals in Music Fractals are self-similar shapes with theoretically infinite detail In music, fractals appear in the relationship between amplitude and frequency- frequency is inversely proportional to amplitude
1/f noise pink noise- equal power per octave frequencies less than 1 Hz- rhythm and structure of piece 13-second measure- 13 times intensity of other beats
Math & Modern Composition Bela Bartok- golden mean and Fibonacci numbers axis theory set theory
Comparison with Traditional Harmony Major/Minor chords, augmented octave Percussion sounds on piano Boulez- twelve-tone series applies to more than just frequency
Music as Noise Chance music- reflecting nature Add sounds rather than tones Prepared/altered instruments