A grand-canonical statistical model with mean-field approximation produces phase transitions from disordered sound events to ordered rhythmic patterns that quantitatively match meter in Bach compositions.
Berezovsky, Science Advances5, 10.1126/sciadv.aav8490 (2019)
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Rhythm as an ordered phase of sound: how musical meter emerges in a statistical mechanical model
A grand-canonical statistical model with mean-field approximation produces phase transitions from disordered sound events to ordered rhythmic patterns that quantitatively match meter in Bach compositions.