Ritmo di Euclide

Il Ritmo di Euclide, in musica, è stato scoperto da Godfried Toussaint nel 2004 e descritto in un documento del 2005 intitolato "The Euclidean Algorithm Generates Traditional Musical Rhythms", ovvero "L'algoritmo euclideo genera i tradizionali ritmi musicali"^[1]. Il massimo comun divisore di due numeri è utilizzato ritmicamente dando il numero di beat e silenzi (assenza sonora) generando quasi tutti i più importanti ritmi World Music^[2]., (eccetto quella indiana).^[3]

Progetti open-source

Alcuni progetti open source che generano tali ritmi sono Midipal e Grids (Mutable Instruments), Stoicheia e Ruin (RebelTech).

Note

^ (EN) 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.
^ (EN) Comparative Musicology - Musical Rhythm and Mathematics
^ (EN) 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.

[gtpdf-1] (EN) 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.

[gtweb-2] (EN) Comparative Musicology - Musical Rhythm and Mathematics

[extv-3] (EN) 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.

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