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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Vydané v:	Bulletin of the Australian Mathematical Society Ročník 107; číslo 3; s. 361 - 367
Hlavný autor:	MORRILL, THOMAS
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Cambridge, UK Cambridge University Press 01.06.2023
Predmet:	Algorithms Arrays Combinatorial analysis Composers Modular construction Rhythm Software Euclidean algorithm computation by hand 11A05 97F60 binary rhythms
ISSN:	0004-9727, 1755-1633
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