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> |
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> |
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In the 17th century [[Conrad Henfling]] writing to [[Gottfried 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> |
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> |
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==References== |
==References== |