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  2. Rhythmic mode - Wikipedia

    en.wikipedia.org/wiki/Rhythmic_mode

    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 ...

  3. 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 ...

  4. 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 ...

  5. Mode (music) - Wikipedia

    en.wikipedia.org/wiki/Mode_(music)

    The concept of "mode" in Western music theory has three successive stages: in Gregorian chant theory, in Renaissance polyphonic theory, and in tonal harmonic music of the common practice period. In all three contexts, "mode" incorporates the idea of the diatonic scale , but differs from it by also involving an element of melody type .

  6. Additive rhythm and divisive rhythm - Wikipedia

    en.wikipedia.org/wiki/Additive_rhythm_and...

    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.

  7. Schillinger system - Wikipedia

    en.wikipedia.org/wiki/Schillinger_System

    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.

  8. Riemannian theory - Wikipedia

    en.wikipedia.org/wiki/Riemannian_theory

    Riemannian theory, in general, refers to the musical theories of German theorist Hugo Riemann (1849–1919). His theoretical writings cover many topics, including musical logic, [ 1 ] notation, [ 2 ] harmony, [ 3 ] melody, [ 4 ] phraseology, [ 5 ] the history of music theory, [ 6 ] etc.

  9. Gordon music learning theory - Wikipedia

    en.wikipedia.org/wiki/Gordon_music_learning_theory

    Gordon music-learning theory is a model for music education based on Edwin Gordon's research on musical aptitude and achievement in the greater field of music learning theory. [ 1 ] [ 2 ] The theory is an explanation of music learning, based on audiation (see below) and students' individual musical differences.