Hypergesture homology for performance stemmata with lie operators

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

Mathematical performance theory [1] uses a model of performative unfolding that is based on "sexual propagation" of successive performance refinements. It is formally described by a tree-shaped diagram, the performance stemma, starting at the primary "mother" performance that ramifies to a series of "daughter" performances. This propagation mechanism is induced by a series of performance operators stemming from the composition's music analysis. In this paper we refine such networks to performance hypergestures whose curves represent continuous transitions from mother to daughter performances. This level of description uses the theory of Lie-type performance operators and enables a detailed analysis of different performative transition strategies. We then calculate the singular performance hypergesture homology H1 and discuss its significance for the classification of transitional strategies.

Original languageEnglish (US)
Title of host publicationMathematics and Computation in Music - 4th International Conference, MCM 2013, Proceedings
Pages138-150
Number of pages13
DOIs
StatePublished - Sep 26 2013
Event4th International Conference on Mathematics and Computation in Music, MCM 2013 - Montreal, QC, Canada
Duration: Jun 12 2013Jun 14 2013

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume7937 LNAI
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other4th International Conference on Mathematics and Computation in Music, MCM 2013
CountryCanada
CityMontreal, QC
Period6/12/136/14/13

Keywords

  • Hypergestures
  • Lie Operators
  • Performance Fields
  • Singular Homology
  • Stemma Theory

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