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On the relationship between tempo and quantitative metric, melodic, and harmonic information in Chopin's Prelude Op. 28 No. 4 : a statistical analysis of 30 performances

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2014

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Goswitz, Robert
Mazzola, Guerino
Mazzola, Patrizio

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https://doi.org/10.1080/17459737.2014.930192
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Journal of Mathematics and Music : Mathematical and Computational Approaches to Music Theory, Analysis, Composition and Performance. 2014, 8(3), pp. 225-248. ISSN 1745-9737. eISSN 1745-9745. Available under: doi: 10.1080/17459737.2014.930192

Zusammenfassung

We investigate the relationship between analytical information extracted from the score of Chopin's Prélude Op. 28 No. 4 and tempo curves obtained from 30 recordings by well-known pianists. The score-related information consists of metric, melodic, and harmonic weight functions. A hierarchic regression approach is used. The statistical analysis yields strong evidence for the approximate validity of an operator defined in terms of hierarchically decomposed weight functions, as originally introduced by G. Mazzola and J. Beran in 1997 (“Rational Composition of Performance.” In: Regulation of Creative Processes in Music, edited by W. Auhagen and R. Kopiez, Staatliches Institut für Musikforschung, Berlin, pp. 37–67) in the context of Schumann's Träumerei. Further analysis based on these findings reveals some typical features of the performances.

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Fachgebiet (DDC)
510 Mathematik

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hierarchic regression, kernel smoothing, tempo curve, metric weights, melodic weights, harmonic weights, performance research, Rubato, Schumann, Chopin

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ISO 690BERAN, Jan, Robert GOSWITZ, Guerino MAZZOLA, Patrizio MAZZOLA, 2014. On the relationship between tempo and quantitative metric, melodic, and harmonic information in Chopin's Prelude Op. 28 No. 4 : a statistical analysis of 30 performances. In: Journal of Mathematics and Music : Mathematical and Computational Approaches to Music Theory, Analysis, Composition and Performance. 2014, 8(3), pp. 225-248. ISSN 1745-9737. eISSN 1745-9745. Available under: doi: 10.1080/17459737.2014.930192
BibTex
@article{Beran2014relat-29440,
  year={2014},
  doi={10.1080/17459737.2014.930192},
  title={On the relationship between tempo and quantitative metric, melodic, and harmonic information in Chopin's Prelude Op. 28 No. 4 : a statistical analysis of 30 performances},
  number={3},
  volume={8},
  issn={1745-9737},
  journal={Journal of Mathematics and Music : Mathematical and Computational Approaches to Music Theory, Analysis, Composition and Performance},
  pages={225--248},
  author={Beran, Jan and Goswitz, Robert and Mazzola, Guerino and Mazzola, Patrizio}
}
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