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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 ...
He applied computational geometric and discrete mathematics methods to the analysis of symbolically represented music in general, and rhythm in particular. In 2004 he discovered that the Euclidean algorithm for computing the greatest common divisor of two numbers implicitly generates almost all the most important traditional rhythms of the ...
Euclidean distance map, a digital image in which each pixel value represents the Euclidean distance to an obstacle; Euclidean rhythm, a method of distributing beats across musical steps based on Euclid's algorithm; Euclidean zoning, a system of land use management modeled after the zoning code of Euclid, Ohio
Godfried Toussaint (1944–2019) was a Belgian–Canadian computer scientist who worked as a professor of computer science for McGill University and New York University.His main professional expertise was in computational geometry, [2] but he was also a jazz drummer, [3] held a long-term interest in the mathematics of music and musical rhythm, and since 2005 held an affiliation as a researcher ...
Euclidean rhythm a term coined by Godfried Toussaint in his 2005 paper "The Euclidean Algorithm Generates Traditional Musical Rhythms" Euclid (computer program) Euclid (programming language) Euclid, a supercomputer built by the fictional character Maximillian Cohen in the 1998 film π; Euclid Creek; Euclid Avenue, a street in Manassas, Virginia
Algorithmic composition is the technique of using algorithms to create music.. Algorithms (or, at the very least, formal sets of rules) have been used to compose music for centuries; the procedures used to plot voice-leading in Western counterpoint, for example, can often be reduced to algorithmic determinacy.
Euclidean rhythm; Euouae; Evolutionary musicology; Experimental musical instrument; Exposition (music) Expression pedal; Extended technique; Extended vocal technique; Extension (music) Eye movement in music reading; Eye music
The mathematician and musicologist Guerino Mazzola has used category theory (topos theory) for a basis of music theory, which includes using topology as a basis for a theory of rhythm and motives, and differential geometry as a basis for a theory of musical phrasing, tempo, and intonation.