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Categories of Gestures over Topological Categories

  • Guerino Mazzola
  • René Guitart
  • Jocelyn Ho
  • Alex Lubet
  • Maria Mannone
  • Matt Rahaim
  • Florian Thalmann
Chapter
Part of the Computational Music Science book series (CMS)

Summary

We generalize the topological approach to gestures, and culminate in the construction of a gesture bicategory, which enriches the classical Yoneda embedding and could be a valid candidate for the conjectured space X in the diamond conjecture [720]; see also Section 61.12. We discuss first applications thereof for topological groups, and then more concretely gestures in modulation processes in Beethoven’s Hammerklavier sonata. The latter offers a first concretization of answers to Lewin’s big question from [605] concerning characteristic gestures. This research is a first step towards a replacement of Fregean functional abstraction by gestural dynamics.

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2017

Authors and Affiliations

  • Guerino Mazzola
    • 1
  • René Guitart
    • 2
  • Jocelyn Ho
    • 3
  • Alex Lubet
    • 1
  • Maria Mannone
    • 1
  • Matt Rahaim
    • 1
  • Florian Thalmann
    • 4
  1. 1.School of MusicUniversity of MinnesotaMinneapolisUSA
  2. 2.Institut de Mathématiques de JussieuUniversité Diderot Paris 7ParisFrance
  3. 3.Department of MusicUCLA Herb Alpert School of MusicLos AngelesUSA
  4. 4.School of Electronic Engineering and Computer ScienceQueen Mary University of LondonLondonUK

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