Euclidean rhythm: Difference between revisions
Jump to navigation
Jump to search
Content added Content deleted
mNo edit summary |
mNo edit summary |
||
| Line 1: | Line 1: | ||
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 [[Rhythm|rhythms]].<ref name=R&W">[http://ruinwesen.com/blog?id=216 Generating african rhythms using the euclidean algorithm]</ref> |
||
===Other uses of Euclid's algorithm in music=== |
|||
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> |
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> |
||
Revision as of 09:35, 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]
Other uses of Euclid's algorithm in music
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