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

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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

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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

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