Euclidean rhythm
The Euclidean Rythm 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, and generating almost all of the most important musical rhythms used in World Music.[2]
Open Hardware projects
Open-source music hardware projects that can generate Euclidean rythms, include Mutable instruments' MIDIPal, RebelTech's Stoicheia and Ruin & Wesen's Minicommand
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.
- ^ Comparative Musicology - Musical Rhythm and Mathematics
- ^ 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 by Benjamin Wardhaugh on Plus
- Links to videos about and a Flash app for experimenting with Euclidean rhythms