Euclidean rhythm: Difference between revisions
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== External links == |
== External links == |
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* 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. 47–56. |
* 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. 47–56. |
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* [http://ruinwesen.com/blog?id=216 Generating African rhythms using the euclidean algorithm] by Ruin & Wesen |
* [https://web.archive.org/web/20131114124454/http://ruinwesen.com/blog?id=216 Generating African rhythms using the euclidean algorithm] by Ruin & Wesen |
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* [http://plus.maths.org/content/os/issue40/features/wardhaugh/index Musical pitch and Euclid's algorithm] by Benjamin Wardhaugh |
* [http://plus.maths.org/content/os/issue40/features/wardhaugh/index Musical pitch and Euclid's algorithm] by Benjamin Wardhaugh |
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* Links to videos about and a Flash app for experimenting with [http://www.hisschemoller.com/2011/euclidean-rhythms/ Euclidean rhythms] |
* Links to videos about and a Flash app for experimenting with [http://www.hisschemoller.com/2011/euclidean-rhythms/ Euclidean rhythms] |
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* [http://dbkaplun.github.io/euclidean-rhythm/ Euclidean rhythm demo] |
* [http://dbkaplun.github.io/euclidean-rhythm/ Euclidean rhythm demo] |
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* A tutorial on [http://cgm.cs.mcgill.ca/~mcleish/644/Projects/DerekRivait.1/ The ''Euclidean Algorithm'' Generates Traditional Musical Rhythms] by Derek Rivait |
* A tutorial on [https://web.archive.org/web/20130211035641/http://cgm.cs.mcgill.ca/~mcleish/644/Projects/DerekRivait.1/ The ''Euclidean Algorithm'' Generates Traditional Musical Rhythms] by Derek Rivait |
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* [http://www.soundhelix.com/ SoundHelix] is a free software for algorithmic random music composition that supports Euclidean rhythms |
* [https://web.archive.org/web/20141101222427/http://www.soundhelix.com/ SoundHelix] is a free software for algorithmic random music composition that supports Euclidean rhythms |
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* [http://plus.maths.org/issue40/features/wardhaugh/index.html Music and Euclid's algorithm] |
* [http://plus.maths.org/issue40/features/wardhaugh/index.html Music and Euclid's algorithm] |
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* [https://archive.org/details/DonBuchlaMetronome Don Buchla - How Complicated Could a Metronome Be?], Archive.org |
* [https://archive.org/details/DonBuchlaMetronome Don Buchla - How Complicated Could a Metronome Be?], Archive.org |
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Revision as of 01:59, 4 December 2018
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
- Don Buchla - How Complicated Could a Metronome Be?, Archive.org
- Euclidean rhythm, Wikipedia
This page uses Creative Commons Licensed content from Wikipedia:Euclidean_rhythm (view authors).