Euclidean rhythm: Difference between revisions
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The '''Euclidean Rythm''' is described by [[Godfried Toussaint|Godfried T. Toussaint]] in a 2005 paper "The Euclidean Algorithm Generates Traditional Musical Rhythms"<ref name="mcgill">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.</ref> He describes how the [[Euclidean algorithm]] can generate most of the traditional European and African rhythms.<ref name=R&W">[http://ruinwesen.com/blog?id=216 Generating african rhythms using the euclidean algorithm]</ref>
In the 17th century [[Conrad Henfling]] writing to [[Gottfried Wilhelm Leibniz|Leibniz]] about music theory and the tuning of musical instruments makes use of Euclid's algorithm in his reasoning.<ref name="plusmaths">[http://plus.maths.org/content/os/issue40/features/wardhaugh/index Musical pitch and Euclid's algorithm]</ref>
==References==
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Revision as of 09:32, 28 June 2012
The Euclidean Rythm is described by Godfried T. Toussaint in a 2005 paper "The Euclidean Algorithm Generates Traditional Musical Rhythms"[1] He describes how the Euclidean algorithm can generate most of the traditional European and African rhythms.[2]
In the 17th century Conrad Henfling writing to Leibniz about music theory and the tuning of musical instruments makes use of Euclid's algorithm in his reasoning.[3]
References
- ^ 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
- ^ Musical pitch and Euclid's algorithm
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
- Musical pitch and Euclid's algorithm
- A Flash app for experimenting with Euclidean rhythms