Presumably, musical systems serve as a proxy for priors if they reflect perceptual biases and production constraints 62. However, we don’t discount the possibility of intrinsic (innate) priors which could be incorporated into the ppvipbet model. There is a history of using probabilistic models to simulate perception and production of rhythmic phenomena 2, 9, 12–16, and to describe rhythmic structure (e.g. 17, 18). One application includes the perception of metrical structure 14, 15, a hierarchically-embedded collection of recurring temporal periods inferred from and aligned to a stimulus rhythm 20.
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The phase estimation mechanism in PIPPET, and by extension pPIPPET, has no intrinsic bias for the inference of certain rhythmic patterns—notably, those related by small integer ratios. By contrast, the universal tendency to perceive and (re)produce rhythms related by small integer ratios 31 raises the possibility of physiological and/or cognitive constraints on rhythmic priors (as considered in 24, 25). We have shown that present empirical results can be accounted for as a process of probabilistic learning from real-world notated musical rhythms (featuring both simple and complex integer interval ratios).
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