# Euclidean rhythm

The **Euclidean rhythm** in music 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, generating almost all of the most important World Music rhythms,^{[2]} (except Indian).^{[3]} The beats in the resulting rhythms are as equidistant as possible; the same results can be obtained from the Bresenham's line algorithm.

## Open-source hardware projects

Open source music hardware projects that can generate Euclidean rhythms, include Mutable Instruments MIDIPal and Grids and RebelTech's Stoicheia.

## See also

## References

This page uses Creative Commons Licensed content from Wikipedia:Euclidean_rhythm (view authors).

- ^ The Euclidean algorithm generates traditional musical rhythms by G. T. Toussaint,
*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
- ^ The Euclidean Algorithm Generates Traditional Musical Rhythms, by Godfried Toussaint, Extended version of the paper that appeared in the
*Proceedings of BRIDGES: Mathematical Connections in Art, Music and Science’’, Banff, Alberta, Canada, July 31–August 3, 2005, pp. 47–56.*

## 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 by Ruin & Wesen
- Musical pitch and Euclid's algorithm by Benjamin Wardhaugh
- Links to videos about and a Flash app for experimenting with Euclidean rhythms
- Euclidean rhythm demo
- A tutorial on The
*Euclidean Algorithm*Generates Traditional Musical Rhythms by Derek Rivait - SoundHelix is a free software for algorithmic random music composition that supports Euclidean rhythms
- Music and Euclid's algorithm
- Don Buchla - How Complicated Could a Metronome Be?, Archive.org
- Euclidean rhythm, Wikipedia