Global functorial hypergestures over general skeleta for musical performance

Guerino Mazzola, Maria Mannone

Research output: Contribution to journalArticle

6 Scopus citations

Abstract

Musical performance theory using Lagrangian formalism, inspired by physical string theory, has been described in previous research. That approach was restricted to zero-addressed hypergestures of local character, and also to digraph skeleta of simple arrow type. In this article, we extend the theory to hypergestures that are defined functorially over general topological categories as addresses, are global, and are also defined for general skeleta. We also prove several versions of the important Escher Theorem for this general setup. This extension is highly motivated by theoretical and practical musical performance requirements of which we give concrete examples.

Original languageEnglish (US)
Pages (from-to)227-243
Number of pages17
JournalJournal of Mathematics and Music
Volume10
Issue number3
DOIs
StatePublished - Sep 1 2016

Keywords

  • composition
  • functoriality
  • global hypergestures
  • musical performance
  • string theory
  • world-sheets

Fingerprint Dive into the research topics of 'Global functorial hypergestures over general skeleta for musical performance'. Together they form a unique fingerprint.

  • Cite this