Structural properties of Euclidean rhythms

DOI10.1080/17459730902819566zbMath1175.00042OpenAlexW2118432320MaRDI QIDQ3183727

Godfried T. Toussaint, Francisco Gómez-Martín, Perouz Taslakian

Publication date: 21 October 2009

Published in: Journal of Mathematics and Music (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17459730902819566

zbMATH Keywords

Euclidean rhythmsmaximally even

Mathematics Subject Classification ID

Distance geometry (51K99) Discrete geometry (52C99) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05) Mathematics and music (00A65)

Related Items (5)

ON THE EUCLIDEAN ALGORITHM: RHYTHM WITHOUT RECURSION ⋮ Digital Geometry in Image-Based Metrology ⋮ Computational geometric aspects of rhythm, melody, and voice-leading ⋮ Music and combinatorics on words: a historical survey ⋮ GeneralizedTonnetzeandZeitnetze, and the topology of music concepts

Cites Work

• The geometry of Markoff numbers
• Euclidean strings
• Digital straightness -- a review
• Spectra of Numbers
• Unnamed Item

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