Interlocking and euclidean rhythms

Francisco Gómez-Martín; Perouz Taslakian; Godfried Toussaint

doi:10.1080/17459730902916545

Interlocking and euclidean rhythms

Francisco Gómez-Martín, Perouz Taslakian, Godfried Toussaint

Computer Science

Research output: Contribution to journal › Article › peer-review

Abstract

Several operations on Euclidean rhythms based on musical motivations are defined. The operations defined are complementation, alternation, and decomposition. Some mathematical properties are proved for each and the conditions under which a given operation preserves the Euclidean property are examined. Finally, connections are shown to interlocking Euclidean rhythms and tiling canons, and tiling quasi-canons are introduced.

Original language	English (US)
Pages (from-to)	15-30
Number of pages	16
Journal	Journal of Mathematics and Music
Volume	3
Issue number	1
DOIs	https://doi.org/10.1080/17459730902916545
State	Published - Mar 2009

Keywords

Alternation
Complement
Decomposition
Euclidean rhythms
Interlocking rhythms
Operations

ASJC Scopus subject areas

Modeling and Simulation
Music
Computational Mathematics
Applied Mathematics

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10.1080/17459730902916545

Cite this

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Interlocking and euclidean rhythms

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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