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Generation of 1/f noise from a broken-symmetry model for the arbitrary absolute pitch of musical melodies
Author(s) -
Martin Grant,
Niloufar Faghihi
Publication year - 2017
Publication title -
the journal of the acoustical society of america
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.619
H-Index - 187
eISSN - 1520-8524
pISSN - 0001-4966
DOI - 10.1121/1.5011150
Subject(s) - melody , symmetry (geometry) , physics , noise (video) , function (biology) , acoustics , musical , mathematics , computer science , geometry , art , image (mathematics) , artificial intelligence , visual arts , evolutionary biology , biology
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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