Euclidean rhythm: Difference between revisions
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== Open-source hardware projects == |
== Open-source hardware projects == |
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[[List of open-source hardware projects|Open source hardware projects]] that can generate Euclidean rhythms, include [[Mutable Instruments]] [[Mutable Instruments MIDIPal|MIDIPal]] and [[Mutable Instruments Grids|Grids]] and [[RebelTech Stoicheia|RebelTech's Stoicheia]]. |
[[List of open-source music hardware projects|Open source music hardware projects]] that can generate Euclidean rhythms, include [[Mutable Instruments]] [[Mutable Instruments MIDIPal|MIDIPal]] and [[Mutable Instruments Grids|Grids]] and [[RebelTech Stoicheia|RebelTech's Stoicheia]]. |
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== See also == |
== See also == |
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Revision as of 08:57, 9 April 2016
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
- ^ 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
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