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Euclidean rhythm : ウィキペディア英語版
Euclidean rhythm
The Euclidean rhythm in music was discovered by Godfried Toussaint in 2004 and is described in a 2005 paper "The Euclidean Algorithm Generates Traditional Musical Rhythms".〔(The Euclidean algorithm generates traditional musical rhythms ) by G. T. Toussaint, ''Proceedings of BRIDGES: Mathematical Connections in Art, Music, and Science'', Banff, Alberta, Canada, July 31 to August 3, 2005, pp. 47–56.〕 The greatest common divisor of two numbers is used rhythmically giving the number of beats and silences, generating almost all of the most important World Music rhythms,〔(Comparative Musicology – Musical Rhythm and Mathematics )〕 (except Indian).〔The Euclidean Algorithm Generates Traditional Musical Rhythms, by Godfried Toussaint, (Extended version ) of the paper that appeared in the ''Proceedings of BRIDGES: Mathematical Connections in Art, Music and Science’’, Banff, Alberta, Canada, July 31–August 3, 2005, pp. 47–56.〕 The beats in the resulting rhythms are as equidistant as possible; the same results can be obtained from the Bresenham algorithm.
== Open-source hardware projects ==

Open-source music hardware projects that can generate Euclidean rhythms, include Mutable Instruments (MIDIPal ) and (Grids ), RebelTech's Stoicheia and Ruin & Wesen's (Minicommand )

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