Gesture Homology for Counterpoint

Guerino Mazzola, René Guitart, Jocelyn Ho, Alex Lubet, Maria Mannone, Matt Rahaim, Florian Thalmann

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

The purpose of this chapter is to review our contrapuntal model such that the group-theoretical contrapuntal symmetries are reinterpreted in the framework of topology, where continuity can be addressed. In particular, we shall interpret the set of intervals as being a topological category. We shall then develop a theory of hypergestures in such a category and investigate the first singular homology group associated with hypergestures. It will turn out that the above conditions defining contrapuntal symmetries can be restated in terms of topology and its associated homology of hypergestures.

Original languageEnglish (US)
Title of host publicationComputational Music Science
PublisherSpringer Nature
Pages1235-1241
Number of pages7
DOIs
StatePublished - 2017

Publication series

NameComputational Music Science
ISSN (Print)1868-0305
ISSN (Electronic)1868-0313

Bibliographical note

Publisher Copyright:
© 2017, Springer International Publishing AG, part of Springer Nature.

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