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A tutorial on The Euclidean Algorithm Generates Traditional Musical Rhythms by Derek Rivait SoundHelix is a free software for algorithmic random music composition that supports Euclidean rhythms Euclidian rhythms list - a list of all Euclidian rhythms E(i,2 to 32), indicating if they are Winograd-deep, Erdős-deep, Authentic Aksak, Quasi-Aksak ...
MUSIC is a generalization of Pisarenko's method, and it reduces to Pisarenko's method when = +. In Pisarenko's method, only a single eigenvector is used to form the denominator of the frequency estimation function; and the eigenvector is interpreted as a set of autoregressive coefficients, whose zeros can be found analytically or with ...
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 ...
Free time is a type of musical anti-meter free from musical time and time signature. It is used when a piece of music has no discernible beat. Instead, the rhythm is intuitive and free-flowing. In standard musical notation, there are seven ways in which a piece is indicated to be in free time: There is simply no time signature displayed.
Musical form is the plan by which a short piece of music is extended. The term "plan" is also used in architecture, to which musical form is often compared. Like the architect, the composer must take into account the function for which the work is intended and the means available, practicing economy and making use of repetition and order. [10]
Harmonic analysis is a branch of mathematics concerned with investigating the connections between a function and its representation in frequency.The frequency representation is found by using the Fourier transform for functions on unbounded domains such as the full real line or by Fourier series for functions on bounded domains, especially periodic functions on finite intervals.
Formula composition is a serially derived technique encountered principally in the music of Karlheinz Stockhausen, involving the projection, expansion, and Ausmultiplikation of either a single melody-formula, or a two- or three-voice contrapuntal construction (sometimes stated at the outset).
Polyrhythm: Triplets over duplets in all four beats [1] 2:3 polyrhythm (cross rhythm) as bounce inside oval Polyrhythm (/ ˈ p ɒ l i r ɪ ð əm /) is the simultaneous use of two or more rhythms that are not readily perceived as deriving from one another, or as simple manifestations of the same meter. [2]