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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 ...
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.
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 ...
Transformational theory is a branch of music theory developed by David Lewin in the 1980s, and formally introduced in his 1987 work, Generalized Musical Intervals and Transformations. The theory, which models musical transformations as elements of a mathematical group , can be used to analyze both tonal and atonal music .
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]
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 ...
Joseph Moiseyevich Schillinger (Russian: Ио́сиф Моисе́евич Ши́ллингер; 1 September [O.S. 20 August] 1895 [1] [2] (other sources: 31 August [O.S. 19 August] 1895 [3]) – 23 March 1943) was a composer, music theorist, and composition teacher who originated the Schillinger System of Musical Composition.
In music, the terms additive and divisive are used to distinguish two types of both rhythm and meter: . A divisive (or, alternately, multiplicative) rhythm is a rhythm in which a larger period of time is divided into smaller rhythmic units or, conversely, some integer unit is regularly multiplied into larger, equal units.
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