Edit Profile (opens in new tab) Amiot, Emmanuel Co-Author Distance Author ID: amiot.emmanuel Published as: Amiot, Emmanuel Documents Indexed: 24 Publications since 2004, including 1 Book and 2 Additional arXiv Preprints 3 Contributions as Editor Software Indexed: 1 Package Co-Authors: 11 Co-Authors with 8 Joint Publications 89 Co-Co-Authors all top 5 Co-Authors 19 single-authored 5 Andreatta, Moreno 3 Agon, Carlos 3 Mandereau, John 3 Yust, Jason 2 Ghisi, Daniele 1 Assayag, Gerard 1 Bresson, Jean 1 Lerat, Jean-Philippe 1 Recoules, Bérenger 1 Sethares, William A. 1 Szabo, Valérie all top 5 Serials 10 Journal of Mathematics and Music 1 Gazette des Mathématiciens 1 Grazer Mathematische Berichte 1 Mathématiques et Sciences Humaines. Mathematics and Social Sciences 1 Lecture Notes in Computer Science 1 Computational Music Science all top 5 Fields 25 General and overarching topics; collections (00-XX) 5 Group theory and generalizations (20-XX) 5 Numerical analysis (65-XX) 4 Combinatorics (05-XX) 3 Number theory (11-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Abstract harmonic analysis (43-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Special functions (33-XX) 1 Convex and discrete geometry (52-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 18 Publications have been cited 109 times in 63 Documents Cited by ▼ Year ▼ Music through Fourier space. Discrete Fourier transform in music theory. Zbl 1356.00006 Amiot, Emmanuel 32 2016 David Lewin and maximally even sets. Zbl 1163.42311 Amiot, Emmanuel 17 2007 The torii of phases. Zbl 1270.00023 Amiot, Emmanuel 11 2013 An algebra for periodic rhythms and scales. Zbl 1264.00016 Amiot, Emmanuel; Sethares, William A. 9 2011 New perspectives on rhythmic canons and the spectral conjecture. Zbl 1175.00041 Amiot, Emmanuel 8 2009 \(Z\)-relation and homometry in musical distributions. Zbl 1226.00020 Mandereau, John; Ghisi, Daniele; Amiot, Emmanuel; Andreatta, Moreno; Agon, Carlos 6 2011 Discrete phase retrieval in musical structures. Zbl 1226.00021 Mandereau, John; Ghisi, Daniele; Amiot, Emmanuel; Andreatta, Moreno; Agon, Carlos 5 2011 Decompositions of nil sums of roots of unity. An adaptation of “Sommes nulles de racines de l’unité”. Zbl 1395.00021 Amiot, Emmanuel 5 2017 Entropy of Fourier coefficients of periodic musical objects. Zbl 1481.00009 Amiot, Emmanuel 3 2021 Interval content vs. DFT. Zbl 1453.00013 Amiot, Emmanuel 3 2017 Rhythmic canons and Galois theory. Zbl 1137.05021 Amiot, Emmanuel 2 2005 Strange symmetries. Zbl 1456.00053 Amiot, Emmanuel 2 2017 Why rhythmic canons are interesting. Zbl 1073.52512 Amiot, Emmanuel 1 2004 Autosimilar melodies. Zbl 1198.00003 Amiot, Emmanuel 1 2008 Can a musical scale have 14 generators? Zbl 1321.00078 Amiot, Emmanuel 1 2015 Developing software for dancing tango in Compás. Zbl 1456.00055 Amiot, Emmanuel; Lerat, Jean-Philippe; Recoules, Bérenger; Szabo, Valérie 1 2017 Mathematics and computation in music. Third international conference, MCM 2011, Paris, France, June 15–17, 2011. Proceedings. Zbl 1216.00007 1 2011 On rhythmic canons. (À propos des canons rythmiques.) Zbl 1204.00025 Amiot, Emmanuel 1 2005 Entropy of Fourier coefficients of periodic musical objects. Zbl 1481.00009 Amiot, Emmanuel 3 2021 Decompositions of nil sums of roots of unity. An adaptation of “Sommes nulles de racines de l’unité”. Zbl 1395.00021 Amiot, Emmanuel 5 2017 Interval content vs. DFT. Zbl 1453.00013 Amiot, Emmanuel 3 2017 Strange symmetries. Zbl 1456.00053 Amiot, Emmanuel 2 2017 Developing software for dancing tango in Compás. Zbl 1456.00055 Amiot, Emmanuel; Lerat, Jean-Philippe; Recoules, Bérenger; Szabo, Valérie 1 2017 Music through Fourier space. Discrete Fourier transform in music theory. Zbl 1356.00006 Amiot, Emmanuel 32 2016 Can a musical scale have 14 generators? Zbl 1321.00078 Amiot, Emmanuel 1 2015 The torii of phases. Zbl 1270.00023 Amiot, Emmanuel 11 2013 An algebra for periodic rhythms and scales. Zbl 1264.00016 Amiot, Emmanuel; Sethares, William A. 9 2011 \(Z\)-relation and homometry in musical distributions. Zbl 1226.00020 Mandereau, John; Ghisi, Daniele; Amiot, Emmanuel; Andreatta, Moreno; Agon, Carlos 6 2011 Discrete phase retrieval in musical structures. Zbl 1226.00021 Mandereau, John; Ghisi, Daniele; Amiot, Emmanuel; Andreatta, Moreno; Agon, Carlos 5 2011 Mathematics and computation in music. Third international conference, MCM 2011, Paris, France, June 15–17, 2011. Proceedings. Zbl 1216.00007 1 2011 New perspectives on rhythmic canons and the spectral conjecture. Zbl 1175.00041 Amiot, Emmanuel 8 2009 Autosimilar melodies. Zbl 1198.00003 Amiot, Emmanuel 1 2008 David Lewin and maximally even sets. Zbl 1163.42311 Amiot, Emmanuel 17 2007 Rhythmic canons and Galois theory. Zbl 1137.05021 Amiot, Emmanuel 2 2005 On rhythmic canons. (À propos des canons rythmiques.) Zbl 1204.00025 Amiot, Emmanuel 1 2005 Why rhythmic canons are interesting. Zbl 1073.52512 Amiot, Emmanuel 1 2004 all cited Publications top 5 cited Publications all top 5 Cited by 81 Authors 10 Yust, Jason 9 Amiot, Emmanuel 6 Andreatta, Moreno 5 Noll, Thomas 4 Harasim, Daniel 4 Mannone, Maria 3 Agon, Carlos 3 Lanzarotto, Greta 3 Milne, Andrew J. 2 Asensi Arranz, Roger 2 Auricchio, Gennaro 2 beim Graben, Peter 2 Bulger, David W. 2 Ferrarini, Luca 2 Ghisi, Daniele 2 Gómez, Ricardo 2 Guichaoua, Corentin 2 Herff, Steffen A. 2 Jedrzejewski, Franck 2 Juillet, Nicolas 2 Kastine, Jeremy 2 Mandereau, John 2 Nuño, Luis 2 Peck, Robert W. 2 Pernazza, Ludovico 2 Rohrmeier, Martin 2 Sethares, William A. 2 Toussaint, Godfried Theodore 2 Turchet, Luca 1 Abdulhay, Enas 1 Affatato, Giovanni 1 Alafeef, Maha 1 Arunkumar, N. 1 Audétat, Pierre 1 Axenovich, Maria A. 1 Ballinger, Brad 1 Baroin, Gilles 1 Benbernou, Nadia M. 1 Bras-Amorós, Maria 1 Callender, Clifton 1 Carey, Norman 1 Castrillón López, Marco 1 Chiu, Matt 1 Chiu, Pascal 1 de Gérando, Stéphane 1 Dean, Roger T. 1 Delgado Vega, Edgar Armando 1 Di Donato, Balandino 1 Domínguez Romero, Manuel 1 Douthett, Jack 1 Favali, Federico 1 Fiore, Thomas M. 1 Goldwasser, John L. 1 Gomez, Francisco J. 1 Gualandi, Stefano 1 Hadoush, Hikmat 1 Hearne, Gareth M. 1 İzmirli, Özgür 1 Junod, Julien 1 Kitamura, Yoshifumi 1 Kolountzakis, Mihail N. 1 Krantz, Richard J. 1 Lidický, Bernard 1 Martin, Ryan R. 1 Matolcsi, Máté 1 Mazzola, Guerino 1 Montiel, Mariana 1 Moss, Fabian C. 1 Nasser, Luis 1 Offner, David 1 O’Rourke, Joseph 1 Popoff, Alexandre 1 Schmidt, Stefan E. 1 Steinbach, Peter 1 Talbot, John 1 Tymoczko, Dmitri 1 VanHandel, Leigh 1 White, Christopher William 1 White, Christopher Wm. 1 Yoshino, Takashi 1 Young, Michael E. all top 5 Cited in 7 Serials 32 Journal of Mathematics and Music 1 American Mathematical Monthly 1 Rendiconti del Seminario Matematico della Università di Padova 1 Computational Geometry 1 Integers 1 Mathematical Biosciences and Engineering 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications all top 5 Cited in 24 Fields 58 General and overarching topics; collections (00-XX) 11 Combinatorics (05-XX) 9 Number theory (11-XX) 6 Numerical analysis (65-XX) 6 Computer science (68-XX) 4 Group theory and generalizations (20-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Abstract harmonic analysis (43-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Operations research, mathematical programming (90-XX) 2 Category theory; homological algebra (18-XX) 2 Measure and integration (28-XX) 2 Convex and discrete geometry (52-XX) 2 Probability theory and stochastic processes (60-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Citations by Year