ON THE EUCLIDEAN ALGORITHM: RHYTHM WITHOUT RECURSION

A modified form of Euclid’s algorithm has gained popularity among musical composers following Toussaint’s 2005 survey of so-called Euclidean rhythms in world music. We offer a method to easily calculate Euclid’s algorithm by hand as a modification of Bresenham’s line-drawing algorithm. Notably, this...

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Bibliographic Details

Published in:	Bulletin of the Australian Mathematical Society Vol. 107; no. 3; pp. 361 - 367
Main Author:	MORRILL, THOMAS
Format:	Journal Article
Language:	English
Published:	Cambridge, UK Cambridge University Press 01.06.2023
Subjects:	Algorithms Arrays Combinatorial analysis Composers Modular construction Rhythm Software Euclidean algorithm computation by hand 11A05 97F60 binary rhythms
ISSN:	0004-9727, 1755-1633
Online Access:	Get full text
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