Euclidean rhythm
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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".[1] 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,[2] (except Indian).[3] The beats in the resulting rhythms are as equidistant as possible; the same results can be obtained from the Bresenham's line algorithm.
Open-source hardware projects
Open source music hardware projects that can generate Euclidean rhythms, include Mutable Instruments MIDIPal and Grids and RebelTech's Stoicheia.
See also
References
This page uses Creative Commons Licensed content from Wikipedia:Euclidean_rhythm (view authors).
- ^ 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.
- ^ Comparative Musicology – Musical Rhythm and Mathematics
- ^ 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.
External links
- G. T. Toussaint, 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. 47–56.
- Generating African rhythms using the euclidean algorithm by Ruin & Wesen
- Musical pitch and Euclid's algorithm by Benjamin Wardhaugh
- Links to videos about and a Flash app for experimenting with Euclidean rhythms
- Euclidean rhythm demo
- A tutorial on The Euclidean Algorithm Generates Traditional Musical Rhythms by Derek Rivait
- SoundHelix is a free software for algorithmic random music composition that supports Euclidean rhythms
- Music and Euclid's algorithm
- Don Buchla - How Complicated Could a Metronome Be?, Archive.org
- Euclidean rhythm, Wikipedia