Search Results - "Emmanuel Amiot"
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Structures, Algorithms, and Algebraic Tools for Rhythmic Canons
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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Entropy of Fourier coefficients of periodic musical objects
Published in Journal of mathematics and music (Society for Mathematics and Computation in Music) (02-09-2021)“…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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The discrete Fourier transform of distributions
Published in Journal of mathematics and music (Society for Mathematics and Computation in Music) (02-09-2017)“…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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Decompositions of nil sums of roots of unity. An adaptation of "Sommes nulles de racines de l'unité"
Published in Journal of mathematics and music (Society for Mathematics and Computation in Music) (02-09-2017)“…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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Note from the new co-editors-in-chief
Published in Journal of mathematics and music (Society for Mathematics and Computation in Music) (02-01-2019)Get full text
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Introduction
Published in Journal of mathematics and music (Society for Mathematics and Computation in Music) (01-07-2020)Get full text
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Introduction
Published in Journal of mathematics and music (Society for Mathematics and Computation in Music) (03-05-2020)Get full text
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Introduction
Published in Journal of mathematics and music (Society for Mathematics and Computation in Music) (03-05-2020)Get full text
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Introduction
Published in Journal of mathematics and music (Society for Mathematics and Computation in Music) (2020)Get full text
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Old and New Isometries between Pc sets in the Planet-4D Model
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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Looking at old and new isometries between pc-sets in the Planet-4D Model
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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New perspectives on rhythmic canons and the spectral conjecture
Published in Journal of mathematics and music (Society for Mathematics and Computation in Music) (01-07-2009)“…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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Structures, Algorithms, and Algebraic Tools for Rhythmic Canons
Published in Perspectives of new music (01-07-2011)Get full text
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Structures, Algorithms, and Algebraic Tools for Rhythmic Canons
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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Autosimilar melodies
Published in Journal of mathematics and music (Society for Mathematics and Computation in Music) (01-11-2008)“…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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