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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 ...
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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 ...
The Schillinger system of musical composition, named after Joseph Schillinger (1895–1943) is a method of musical composition based on mathematical processes. It comprises theories of rhythm, harmony, melody, counterpoint, form and semantics, purporting to offer a systematic and non-genre approach to music analysis and composition; a descriptive rather than prescriptive grammar of music.
Pérotin, "Alleluia nativitas", in the third rhythmic mode. In medieval music, the rhythmic modes were set patterns of long and short durations (or rhythms).The value of each note is not determined by the form of the written note (as is the case with more recent European musical notation), but rather by its position within a group of notes written as a single figure called a ligature, and by ...
Here there is an unexpected link between Schenkerian theory and Riemann's theory of tonal functions, a fact that might explain Schenker's reluctance to be more explicit about it. In modern Schenkerian analysis, the chord of IV or II is often dubbed the "predominant" chord, as the chord that prepares the dominant one, and the progression may be ...
Measured rhythm (additive rhythm) also calculates each time value as a multiple or fraction of a specified time unit but the accents do not recur regularly within the cycle. Free rhythm is where there is neither, [48] such as in Christian chant, which has a basic pulse but a freer rhythm, like the rhythm of prose compared to that of verse. [17]
In music, unified field is the 'unity of musical space' created by the free use of melodic material as harmonic material and vice versa. The technique is most associated with the twelve-tone technique, created by its 'total thematicism' where a tone-row (melody) generates all (harmonic) material.