Search Results - "Emmanuel Amiot"

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  1. 1

    Structures, Algorithms, and Algebraic Tools for Rhythmic Canons by Amiot, Emmanuel

    Published in Perspectives of new music (01-07-2011)
    “…Amiot fills in the gap between theory and practice of rhythmic canons. There is indeed quite a distance between musical canons, even rather intellectual ones…”
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    Journal Article
  2. 2

    Entropy of Fourier coefficients of periodic musical objects by Amiot, Emmanuel

    “…There are many ways to define and measure organization, or complexity, in music, most using the notion of informational entropy, as the opposite of…”
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    Journal Article
  3. 3

    The discrete Fourier transform of distributions by Amiot, Emmanuel

    “…This article (being the first chapter of the book Music Through Fourier Space published by Springer International Publishing Switzerland in 2016 and reprinted…”
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    Journal Article
  4. 4

    Decompositions of nil sums of roots of unity. An adaptation of "Sommes nulles de racines de l'unité" by Amiot, Emmanuel

    “…Sets of roots of unity that sum to zero have interesting musical and mathematical relevance. It seems natural to conjecture that these sets are disjoint unions…”
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    Journal Article
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    Old and New Isometries between Pc sets in the Planet-4D Model by Amiot, Emmanuel, Baroin, Gilles

    Published in Music theory online (01-09-2015)
    “…The Planet-4D model introduced by Baroin 2011b is a richer model of pitch-class relationships than the standard cyclic model of the clock-face diagram: instead…”
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    Journal Article
  13. 13

    Looking at old and new isometries between pc-sets in the Planet-4D Model by Amiot, Emmanuel, Baroin, Gilles

    Published in Music theory online (01-09-2015)
    “…The Model introduced by (Baroin 2011b) is richer than the standard cyclic model (Kremer cycle). Beyond the usual T/I group of symmetries, some extra isometries…”
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    Journal Article
  14. 14

    Interview by Emmanuel Amiot

    Published in Perspectives of new music (01-07-2012)
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    Journal Article
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    New perspectives on rhythmic canons and the spectral conjecture by Amiot, Emmanuel

    “…The musical notion of rhythmic canons has proved to be relevant to some non-trivial mathematical problems. After a survey of the main concepts of tiling…”
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    Journal Article
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    Structures, Algorithms, and Algebraic Tools for Rhythmic Canons by Amiot, Emmanuel

    Published in Perspectives of new music (01-07-2011)
    “…Amiot, a professional mathematecian, expounds on a mathematical theory set in order to illustrate how mathematics fits into, and sets the structure for,…”
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    Journal Article
  20. 20

    Autosimilar melodies by Amiot, Emmanuel

    “…The present work originated from purely musical topics, namely the notion of 'selfRep melody' as defined by the composer Tom Johnson in his work Self-similar…”
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    Journal Article