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.
Over a grid of values spanning ranges inµandT, we calculatep l using the iterative method described above, starting from uniform random initial conditions
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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.