Euclidean rhythm: Difference between revisions

The '''Euclidean Rythm''' was discovered by [[Godfried Toussaint]] in 2004 and is described in a 2005 paper "The Euclidean Algorithm Generates Traditional Musical Rhythms"<ref name="gtpdf">G. T. Toussaint, ''"[http://cgm.cs.mcgill.ca/~godfried/publications/banff.pdf The Euclidean algorithm generates traditional musical rhythms]"'', ''Proceedings of BRIDGES: Mathematical Connections in Art, Music, and Science'', Banff, Alberta, Canada, July 31 to August 3, 2005, pp. 47&ndash;56.</ref> The [[greatest common divisor]] of two numbers is used [[Rhythm|rhythmically]] giving the number of [[beats]] and silences, and generating almost all of the most important [[World Music]] rhythms.<ref name="gtweb">[http://cgm.cs.mcgill.ca/~godfried/rhythm-and-mathematics.html Comparative Musicology - Musical Rhythm and Mathematics]</ref>

 

[[Open-source hardware|Open-source music hardware]] projects that can generate Euclidean rythms, include Mutable instruments' [http://mutable-instruments.net/midipal/build MIDIPal], RebelTech's [[Stoicheia]] and Ruin & Wesen's [http://ruinwesen.com/products Minicommand]