Euclidean rhythm: Difference between revisions

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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 a variety of World Music rhythms.^[1]

Open-source hardware projects that can generate Euclidean rythms, include Mutable instruments' MIDIPal, RebelTech's Stoicheia and Ruin & Wesen's Minicommand

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.^[2]

^ ^a ^b 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.
^ Musical pitch and Euclid's algorithm

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
Links to videos about and a Flash app for experimenting with Euclidean rhythms

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 ===Open Hardware projects===
-[[Open-source hardware]] projects that can generate Euclidean rythms, include Mutable instruments' [http://mutable-instruments.net/midipal/build MIDIPal], RebelTech's [[Stoicheia]] and Ruin & Wesen's [[http://ruinwesen.com/products Minicommand]]
+[[Open-source hardware]] projects that can generate Euclidean rythms, include Mutable instruments' [http://mutable-instruments.net/midipal/build MIDIPal], RebelTech's [[Stoicheia]] and Ruin & Wesen's [http://ruinwesen.com/products Minicommand]
 ===Other uses of Euclid's algorithm in music===