enow.com Web Search

Search results

  1. Results from the WOW.Com Content Network
  2. Euclidean rhythm - Wikipedia

    en.wikipedia.org/wiki/Euclidean_rhythm

    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 ...

  3. The Geometry of Musical Rhythm - Wikipedia

    en.wikipedia.org/wiki/The_Geometry_of_Musical_Rhythm

    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 ...

  4. Euclidean algorithm - Wikipedia

    en.wikipedia.org/wiki/Euclidean_algorithm

    The Euclidean algorithm is based on the principle that the greatest common divisor of two numbers does not change if the larger number is replaced by its difference with the smaller number. For example, 21 is the GCD of 252 and 105 (as 252 = 21 × 12 and 105 = 21 × 5), and the same number 21 is also the GCD of 105 and 252 − 105 = 147. Since ...

  5. List of things named after Euclid - Wikipedia

    en.wikipedia.org/wiki/List_of_things_named_after...

    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

  6. Algorithmic composition - Wikipedia

    en.wikipedia.org/wiki/Algorithmic_composition

    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.

  7. Euclid number - Wikipedia

    en.wikipedia.org/wiki/Euclid_number

    Not all Euclid numbers are prime. E 6 = 13# + 1 = 30031 = 59 × 509 is the first composite Euclid number.. Every Euclid number is congruent to 3 modulo 4 since the primorial of which it is composed is twice the product of only odd primes and thus congruent to 2 modulo 4.

  8. Euclidean domain - Wikipedia

    en.wikipedia.org/wiki/Euclidean_domain

    A Euclidean domain is an integral domain which can be endowed with at least one Euclidean function. A particular Euclidean function f is not part of the definition of a Euclidean domain, as, in general, a Euclidean domain may admit many different Euclidean functions. In this context, q and r are called respectively a quotient and a remainder of ...

  9. Algorithm - Wikipedia

    en.wikipedia.org/wiki/Algorithm

    For example, although social media recommender systems are commonly called "algorithms", they actually rely on heuristics as there is no truly "correct" recommendation. As an effective method , an algorithm can be expressed within a finite amount of space and time [ 3 ] and in a well-defined formal language [ 4 ] for calculating a function . [ 5 ]