Euclidean rhythm
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