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Modeling the Determinants of the Rhythm Type of Classical Piano Playing Based on Mathematical Model Selection

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DOI: 10.23977/iceehss.2019.121

Author(s)

Yao Yi

Corresponding Author

Yao Yi

ABSTRACT

In classical piano performance, it is a common practice to classify the rhythmic lines in the phrases. Many musicians have made different assumptions about the selection factors of the rhythmic lines in the phrases in musicology. These hypotheses usually focus on two kinds of factors: the attributes of the phrase itself and the temporal relationship of rhythm changes. Four Bayesian model hypotheses are used for comparative testing to reveal the determinants of the rhythmic line types in classical piano performance. Three models are based on relative entropy, cross-entropy and cross-entropy ratio developed by the author. The combined model, which considers the selection of single rhythm type and the candidate Bayesian diagram model related to both the rhythm type and the position of the sentence in the preface, can more accurately reflect the influencing factors of choosing rhythm type for the sentence in the course of classical piano performance.

KEYWORDS

Rhythm type, model selection, piano performance, rhythm type influencing factors, Bayesian model

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