Generation of 1/f noise from a broken-symmetry model for the arbitrary absolute pitch of musical melodies

Martin Grant, Niloufar Faghihi · The Journal of the Acoustical Society of America · 2017

A model is presented to generate power spectrum noise with intensity proportional to 1/f as a function of frequency f. The model arises from a broken-symmetry variable, which corresponds to absolute pitch, where fluctuations occur in an attempt to restore that symmetry, influenced by interactions in the creation of musical melodies.

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