Journal of Mathematics and MusicMathematical and Computational Approaches to Music Theory, Analysis, Composition and Performance Short Title: J. Math. Music Publisher: Taylor & Francis, Abingdon, Oxfordshire ISSN: 1745-9737; 1745-9745/e Online: http://www.tandfonline.com/loi/tmam20 Documents Indexed: 158 Publications (since 2007) References Indexed: 153 Publications with 3,853 References. all top 5 Latest Issues 15, No. 3 (2021) 15, No. 2 (2021) 15, No. 1 (2021) 14, No. 3 (2020) 14, No. 2 (2020) 14, No. 1 (2020) 13, No. 3 (2019) 13, No. 2 (2019) 13, No. 1 (2019) 12, No. 3 (2018) 12, No. 2 (2018) 12, No. 1 (2018) 11, No. 2-3 (2017) 11, No. 1 (2017) 10, No. 3 (2016) 10, No. 1 (2016) 9, No. 3 (2015) 9, No. 2 (2015) 9, No. 1 (2015) 8, No. 1 (2014) 7, No. 3 (2013) 7, No. 2 (2013) 7, No. 1 (2013) 6, No. 3 (2012) 6, No. 2 (2012) 6, No. 1 (2012) 5, No. 3 (2011) 5, No. 2 (2011) 5, No. 1 (2011) 4, No. 3 (2010) 4, No. 1 (2010) 3, No. 3 (2009) 3, No. 2 (2009) 3, No. 1 (2009) 2, No. 3 (2008) 2, No. 2 (2008) 2, No. 1 (2008) 1, No. 3 (2007) 1, No. 2 (2007) 1, No. 1 (2007) all top 5 Authors 12 Mazzola, Guerino 10 Amiot, Emmanuel 7 Andreatta, Moreno 6 Clampitt, David 6 Noll, Thomas 5 Carey, Norman 5 Douthett, Jack 5 Sethares, William A. 5 Yust, Jason 4 Conklin, Darrell 4 Fowler, Michael D. 4 Mannone, Maria 4 Milne, Andrew J. 3 Buteau, Chantal 3 Krantz, Richard J. 3 Marsden, Alan 3 Volk, Anja 2 Agon, Carlos 2 Agustín-Aquino, Octavio A. 2 Allouche, Jean-Paul Simon 2 beim Graben, Peter 2 Bozapalidou, Marianthi 2 Bulger, David W. 2 Chemillier, Marc 2 Cubarsí, Rafael 2 Fiore, Thomas M. 2 Ghisi, Daniele 2 Gjerdingen, Robert O. 2 Gómez-Martín, Francisco 2 Harasim, Daniel 2 Hed, Sigalit 2 Hook, Julian L. 2 Jedrzejewski, Franck 2 Mandereau, John 2 Nuño, Luis 2 Plotkin, Richard 2 Popoff, Alexandre 2 Rohrmeier, Martin 2 Schmidt, Stefan E. 2 Sears, David R. W. 2 Taslakian, Perouz 2 Toussaint, Godfried T. 2 Tymoczko, Dmitri 2 Wiggins, Geraint A. 2 Żabka, Marek 1 Akbas, Esra 1 Akhmedov, Azer 1 Aktas, Mehmet Emin 1 Anagnostopoulou, Christina 1 Arias-Valero, Juan Sebastián 1 Arias, Juan Sebastián 1 Arsie, Alessandro 1 Au, Yu-Hin 1 Ayad, Lorraine A. K. 1 Bannerman, Aricca 1 Baratè, Adriano 1 Bemman, Brian 1 Bergomi, Mattia Giuseppe 1 Berliner, Adam H. 1 Blutner, Reinhard 1 Brlek, Srečko 1 Budney, Ryan David 1 Bühler, Walter 1 Cartwright, Julyan H. E. 1 Casado, Miguel G. 1 Castrillón López, Marco 1 Castro, David 1 Catanzaro, Michael J. 1 Chew, Elaine 1 Clark, Timothy L. 1 Cohn, Richard M. 1 Connes, Alain 1 Cramer, Alfred 1 Desainte-Catherine, Myriam 1 Di Donato, Balandino 1 Domínguez Romero, Manuel 1 Drexler-Lemire, Christopher 1 Dumas, R. E. 1 Ehresmann, Andree Charles 1 Emington, James 1 Farup, Ivar 1 Favali, Federico 1 Ferraro, Andres 1 Fleischer, Anja 1 Forrest, David 1 Fripertinger, Harald 1 Garani, Shayan Srinivasa 1 Genuys, Grégoire 1 Georgopoulos, Apostolos P. 1 Gómez, Ricardo 1 Gotham, Mark 1 Gruais, Isabelle 1 Hardesty, Jay 1 Hennessy, Jeffrey J. 1 Herff, Steffen A. 1 Hessling, Hermann 1 Hobby, Kevin 1 Holland, Simon 1 Honing, Henkjan 1 Honingh, Aline ...and 68 more Authors all top 5 Fields 152 General and overarching topics; collections (00-XX) 24 Computer science (68-XX) 23 Number theory (11-XX) 21 Combinatorics (05-XX) 11 Category theory; homological algebra (18-XX) 10 Group theory and generalizations (20-XX) 8 History and biography (01-XX) 6 Dynamical systems and ergodic theory (37-XX) 4 Abstract harmonic analysis (43-XX) 4 General topology (54-XX) 4 Algebraic topology (55-XX) 4 Probability theory and stochastic processes (60-XX) 4 Statistics (62-XX) 4 Numerical analysis (65-XX) 3 Mathematical logic and foundations (03-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Quantum theory (81-XX) 3 Operations research, mathematical programming (90-XX) 2 Algebraic geometry (14-XX) 2 Associative rings and algebras (16-XX) 2 Partial differential equations (35-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Commutative algebra (13-XX) 1 Functions of a complex variable (30-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 95 Publications have been cited 312 times in 159 Documents Cited by ▼ Year ▼ David Lewin and maximally even sets. Zbl 1163.42311Amiot, Emmanuel 14 2007 Diagrams, gestures and formulae in music. Zbl 1139.00006Mazzola, Guerino; Andreatta, Moreno 14 2007 Musical intervals and special linear transformations. Zbl 1181.00022Noll, Thomas 14 2007 Introduction to gestural similarity in music. An application of category theory to the orchestra. Zbl 1469.00014Mannone, Maria 10 2018 Categorical gestures, the diamond conjecture, Lewin’s question, and the Hammerklavier sonata. Zbl 1180.00014Mazzola, Guerino 9 2009 Continued fractions, best measurements, and musical scales and intervals. Zbl 1139.00005Douthett, J.; Krantz, R. 9 2007 Morphisms of generalized interval systems and PR-groups. Zbl 1327.00019Fiore, Thomas M.; Noll, Thomas; Satyendra, Ramon 9 2013 Generalized Tonnetze. Zbl 1226.00017Catanzaro, Michael J. 9 2011 Coherence and sameness in well-formed and pairwise well-formed scales. Zbl 1181.00019Carey, Norman 7 2007 Motivic analysis according to Rudolph Réti: Formalization by a topological model. Zbl 1155.00308Buteau, Chantal; Mazzola, Guerino 7 2008 Modelling the similarity of pitch collections with expectation tensors. Zbl 1226.00022Milne, Andrew J.; Sethares, William A.; Laney, Robin; Sharp, David B. 7 2011 An algebra for periodic rhythms and scales. Zbl 1264.00016Amiot, Emmanuel; Sethares, William A. 7 2011 New perspectives on rhythmic canons and the spectral conjecture. Zbl 1175.00041Amiot, Emmanuel 6 2009 Algorithms for translational tiling. Zbl 1167.05013Kolountzakis, Mihail N.; Matolcsi, Máté 6 2009 Ionian theorem. Zbl 1183.68444Noll, Thomas 6 2009 Enharmonic systems: a theory of key signatures, enharmonic equivalence and diatonisism. Zbl 1181.00021Hook, Julian 6 2007 Algorithmic and computational approaches to pure-tone approximations of equal-tempered musical scales. Zbl 1264.00022Krantz, Richard; Douthett, Jack 6 2011 Spaces of gestures are function spaces. Zbl 1406.00001Arias, Juan Sebastián 6 2018 Tonal prisms: iterated quantization in chromatic tonality and Ravel’s ‘Ondine’. Zbl 1327.00029Yust, Jason 5 2013 Two theorems concerning rational approximations. Zbl 1264.00018Carey, Norman; Clampitt, David 5 2012 Exploring the space of perfectly balanced rhythms and scales. Zbl 1395.00022Milne, Andrew J.; Bulger, David; Herff, Steffen A. 5 2017 Counterpoint in \(2k\)-tone equal temperament. Zbl 1228.00014Agustín-Aquino, Octavio A. 4 2009 Tuning continua and keyboard layouts. Zbl 1160.00310Milne, Andrew; Sethares, William; Plamondon, James 4 2008 Well-formedness in two dimensions: a generalization of Carey and Clampitt’s theorem. Zbl 1195.00062Žabka, Marek 4 2010 Scalar context in musical models. Zbl 1327.00024Plotkin, Richard; Douthett, Jack 4 2013 Topology of musical data. Zbl 1327.00026Sethares, William A.; Budney, Ryan 4 2014 \(Z\)-relation and homometry in musical distributions. Zbl 1226.00020Mandereau, John; Ghisi, Daniele; Amiot, Emmanuel; Andreatta, Moreno; Agon, Carlos 4 2011 Singular homology on hypergestures. Zbl 1328.00101Mazzola, Guerino 4 2012 Introduction to the special issue: Mathematical and computational approaches to music: challenges in an interdisciplinary enterprise. Zbl 1264.00029Volk, Anja; Honingh, Aline 4 2012 Harmonic qualities in Debussy’s “Les sons et les parfums tournent dans l’air du soir”. Zbl 1395.00023Yust, Jason 4 2017 Structural properties of Euclidean rhythms. Zbl 1175.00042Gómez-Martín, Francisco; Taslakian, Perouz; Toussaint, Godfried 3 2009 Generalized diatonic scales. Zbl 1160.00308Jedrzejewski, Franck 3 2008 Contemporary methods in mathematical music theory: a comparative case study. Zbl 1327.00020Hook, Julian 3 2013 Geometry and the quest for theoretical generality. Zbl 1327.00028Tymoczko, Dmitri 3 2013 A space for inflections: following up on JMM’s special issue on mathematical theories of voice leading. Zbl 1327.00030Yust, Jason 3 2013 Automata and music contour functions. Zbl 1327.00015Bozapalidou, Marianthi 3 2013 Tone rows and tropes. Zbl 1346.00046Fripertinger, Harald; Lackner, Peter 3 2015 Editorial. Music and combinatorics on words: a historical survey. Zbl 1427.00031 3 2018 Kaleidoscope substitutions and pairwise well-formed modes: major-minor duality transformationally revisited. Zbl 1427.00039Noll, Thomas; Clampitt, David 3 2018 Global functorial hypergestures over general skeleta for musical performance. Zbl 1354.00059Mazzola, Guerino; Mannone, Maria 3 2016 Representations of motivic spaces of a score in \(OpenMusic\). Zbl 1155.00309Buteau, Chantal; Vipperman, John 2 2008 Editorial: The legacy of John Clough in mathematical music theory. Zbl 1181.01040Clampitt, David 2 2007 Two musical paths to the Farey series and devil’s staircase. Zbl 1195.00059Cartwright, Julyan H. E.; Douthett, Jack; González, Diego L.; Krantz, Richard; Piro, Oreste 2 2010 Toward the reconciliation of mathematical theories of voice leading. Zbl 1327.00037 2 2013 Commentary: Thoughts and reactions. Zbl 1326.00027Plotkin, Richard; Douthett, Jack 2 2013 Formal semantics for interactive music scores: a framework to design, specify properties and execute interactive scenarios. Zbl 1327.00027Toro, Mauricio; Desainte-Catherine, Myriam; Rueda, Camilo 2 2014 On the construction, comparison, and exchangeability of tuning systems. Zbl 1346.00048Liern, Vicente 2 2015 Discrete phase retrieval in musical structures. Zbl 1226.00021Mandereau, John; Ghisi, Daniele; Amiot, Emmanuel; Andreatta, Moreno; Agon, Carlos 2 2011 Subdivision schemes and multi-resolution modelling for automated music synthesis and analysis. Zbl 1264.00019Hed, Sigalit; Gjerdingen, Robert O.; Levin, David 2 2012 A dynamical approach to music analysis. Zbl 1264.00028Pinto, Alberto 2 2012 Combinatorics of words and morphisms in some pieces of Tom Johnson. Zbl 1427.00028Allouche, Jean-Paul; Johnson, Tom 2 2018 Pseudo-distances between chords of different cardinality on generalized voice-leading spaces. Zbl 1429.00015Genuys, Grégoire 2 2019 Gauge models of musical forces. Zbl 1472.00044Blutner, Reinhard; Graben, Peter Beim 2 2021 Generalized Tonnetze and Zeitnetze, and the topology of music concepts. Zbl 1466.00023Yust, Jason 2 2020 Relational poly-Klumpenhouwer networks for transformational and voice-leading analysis. Zbl 1406.00003Popoff, Alexandre; Andreatta, Moreno; Ehresmann, Andrée 2 2018 Pitch-and-rhythm interrelationships and musical patterns: analysis and modelling by subdivision schemes. Zbl 1332.00034Hed, Sigalit; Gjerdingen, Robert O.; Levin, David 2 2015 Bridging scale theory and geometrical approaches to harmony: the voice-leading duality between complementary chords. Zbl 1354.00057Harasim, Daniel; Schmidt, Stefan E.; Rohrmeier, Martin 2 2016 Discovering distorted repeating patterns in polyphonic music through longest increasing subsequences. Zbl 1473.00019Laaksonen, Antti; Lemström, Kjell 2 2021 Entropy of Fourier coefficients of periodic musical objects. Zbl 1481.00009Amiot, Emmanuel 2 2021 Time-frequency representation of musical rhythm by continuous wavelets. Zbl 1155.00317Smith, Leigh M.; Honing, Henkjan 1 2008 Persistence and change: Local and global components of metre induction using inner metric analysis. Zbl 1155.00318Volk, Anja; Fleischer, Anja 1 2008 Timing in music and modal temporal logic. Zbl 1166.03309Marsden, Alan 1 2007 Tiling the integers with aperiodic tiles. Zbl 1167.05012Jedrzejewski, Franck 1 2009 Interlocking and Euclidean rhythms. Zbl 1175.00043Gómez-Martín, Francisco; Taslakian, Perouz; Toussaint, Godfried 1 2009 Minimum description length modelling of musical structure. Zbl 1184.68416Mavromatis, Panayotis 1 2009 Cool tools: polysemic and non-commutative nets, subchain decompositions and cross-projecting pre-orders, object-graphs, chain-hom-sets and chain-label-hom-sets, forgetful functors, free categories of a net, and ghosts. Zbl 1139.00007Rahn, John 1 2007 On Hellegouarch’s definition of musical scales. Zbl 1195.00060Kassel, Adrien; Kassel, Christian 1 2010 A graph theoretic approach to tonal modulation. Zbl 1195.00061Walton, Adrian 1 2010 Building generalized neo-Riemannian groups of musical transformations as extensions. Zbl 1327.00025Popoff, Alexandre 1 2013 Chordal and timbral morphologies using Hamiltonian cycles. Zbl 1327.00014Akhmedov, Azer; Winter, Michael 1 2014 Autosimilar melodies. Zbl 1198.00003Amiot, Emmanuel 1 2008 LR property of non-well-formed scales. Zbl 1346.00045Castrillón López, Marco; Domínguez Romero, Manuel 1 2016 Empirically testing Tonnetz, voice-leading, and spectral models of perceived triadic distance. Zbl 1346.00049Milne, Andrew J.; Holland, Simon 1 2016 Remarks on “Tone rows and tropes” by Harald Fripertinger and Peter Lackner. Zbl 1345.00007Mead, Andrew 1 2015 Review of “Tone rows and tropes” by Harald Fripertinger and Peter Lackner. Zbl 1345.00008Morris, Robert 1 2015 Quantization revisited: a mathematical and computational model. Zbl 1226.00023Murphy, Declan 1 2011 On the Euler scale and the \({\mu}\)Euclidean integer relation algorithm. Zbl 1264.00020Heßling, Hermann 1 2011 Mathematical and computational modelling within a music analysis framework: motivic topologies as a case study. Zbl 1264.00017Buteau, Chantal; Anagnostopoulou, Christina 1 2012 Naming and ordering the modes, in light of combinatorics on words. Zbl 1427.00034Clampitt, David; Noll, Thomas 1 2018 Variety and multiplicity for partitioned factors in Christoffel and Sturmian words. Zbl 1427.00033Carey, Norman; Clampitt, David 1 2018 Marcel Frémiot, determinism versus chaos, and the tower of Hanoi. Zbl 1427.00027Allouche, Jean-Paul 1 2018 John Cage’s Silent Piece and the Japanese gardening technique of shakkei: formalizing Whittington’s conjecture through conceptual graphs. Zbl 1428.00022Fowler, Michael D. 1 2019 On the topological characterization of gestures in a convenient category of spaces. Zbl 1469.00013Clark, Timothy L. 1 2021 Quantum GestART: identifying and applying correlations between mathematics, art, and perceptual organization. Zbl 1472.00045Mannone, Maria; Favali, Federico; Di Donato, Balandino; Turchet, Luca 1 2021 Modulation in tetradic harmony and its role in jazz. Zbl 1466.00010Agustín-Aquino, Octavio A.; Mazzola, Guerino 1 2020 Why topology? Zbl 1466.00022Tymoczko, Dmitri 1 2020 Homological persistence in time series: an application to music classification. Zbl 1466.00012Bergomi, Mattia G.; Baratè, Adriano 1 2020 Musical pitch quantization as an eigenvalue problem. Zbl 1466.00011beim Graben, Peter; Mannone, Maria 1 2020 The S-canon and the multi-S-canon: an introduction. Zbl 1354.00058Kastine, Jeremy; Montiel, Mariana 1 2016 Decompositions of nil sums of roots of unity. An adaptation of “Sommes nulles de racines de l’unité”. Zbl 1395.00021Amiot, Emmanuel 1 2017 Notes and note pairs in Nørgård’s infinity series. Zbl 1390.00053Au, Yu Hin (Gary); Drexler-Lemire, Christopher; Shallit, Jeffrey 1 2017 Addendum to “Two theorems concerning rational approximations”. Zbl 1390.00054Carey, Norman; Clampitt, David 1 2017 Parsimonious graphs for the most common trichords and tetrachords. Zbl 1473.00021Nuño, Luis 1 2021 Some observations on autocorrelated patterns within computational meter identification. Zbl 1473.00025White, Christopher Wm. 1 2021 A detailed list and a periodic table of set classes. Zbl 1481.00012Nuño, Luis 1 2021 Gauge models of musical forces. Zbl 1472.00044Blutner, Reinhard; Graben, Peter Beim 2 2021 Discovering distorted repeating patterns in polyphonic music through longest increasing subsequences. Zbl 1473.00019Laaksonen, Antti; Lemström, Kjell 2 2021 Entropy of Fourier coefficients of periodic musical objects. Zbl 1481.00009Amiot, Emmanuel 2 2021 On the topological characterization of gestures in a convenient category of spaces. Zbl 1469.00013Clark, Timothy L. 1 2021 Quantum GestART: identifying and applying correlations between mathematics, art, and perceptual organization. Zbl 1472.00045Mannone, Maria; Favali, Federico; Di Donato, Balandino; Turchet, Luca 1 2021 Parsimonious graphs for the most common trichords and tetrachords. Zbl 1473.00021Nuño, Luis 1 2021 Some observations on autocorrelated patterns within computational meter identification. Zbl 1473.00025White, Christopher Wm. 1 2021 A detailed list and a periodic table of set classes. Zbl 1481.00012Nuño, Luis 1 2021 Generalized Tonnetze and Zeitnetze, and the topology of music concepts. Zbl 1466.00023Yust, Jason 2 2020 Modulation in tetradic harmony and its role in jazz. Zbl 1466.00010Agustín-Aquino, Octavio A.; Mazzola, Guerino 1 2020 Why topology? Zbl 1466.00022Tymoczko, Dmitri 1 2020 Homological persistence in time series: an application to music classification. Zbl 1466.00012Bergomi, Mattia G.; Baratè, Adriano 1 2020 Musical pitch quantization as an eigenvalue problem. Zbl 1466.00011beim Graben, Peter; Mannone, Maria 1 2020 Pseudo-distances between chords of different cardinality on generalized voice-leading spaces. Zbl 1429.00015Genuys, Grégoire 2 2019 John Cage’s Silent Piece and the Japanese gardening technique of shakkei: formalizing Whittington’s conjecture through conceptual graphs. Zbl 1428.00022Fowler, Michael D. 1 2019 Introduction to gestural similarity in music. An application of category theory to the orchestra. Zbl 1469.00014Mannone, Maria 10 2018 Spaces of gestures are function spaces. Zbl 1406.00001Arias, Juan Sebastián 6 2018 Editorial. Music and combinatorics on words: a historical survey. Zbl 1427.00031 3 2018 Kaleidoscope substitutions and pairwise well-formed modes: major-minor duality transformationally revisited. Zbl 1427.00039Noll, Thomas; Clampitt, David 3 2018 Combinatorics of words and morphisms in some pieces of Tom Johnson. Zbl 1427.00028Allouche, Jean-Paul; Johnson, Tom 2 2018 Relational poly-Klumpenhouwer networks for transformational and voice-leading analysis. Zbl 1406.00003Popoff, Alexandre; Andreatta, Moreno; Ehresmann, Andrée 2 2018 Naming and ordering the modes, in light of combinatorics on words. Zbl 1427.00034Clampitt, David; Noll, Thomas 1 2018 Variety and multiplicity for partitioned factors in Christoffel and Sturmian words. Zbl 1427.00033Carey, Norman; Clampitt, David 1 2018 Marcel Frémiot, determinism versus chaos, and the tower of Hanoi. Zbl 1427.00027Allouche, Jean-Paul 1 2018 Exploring the space of perfectly balanced rhythms and scales. Zbl 1395.00022Milne, Andrew J.; Bulger, David; Herff, Steffen A. 5 2017 Harmonic qualities in Debussy’s “Les sons et les parfums tournent dans l’air du soir”. Zbl 1395.00023Yust, Jason 4 2017 Decompositions of nil sums of roots of unity. An adaptation of “Sommes nulles de racines de l’unité”. Zbl 1395.00021Amiot, Emmanuel 1 2017 Notes and note pairs in Nørgård’s infinity series. Zbl 1390.00053Au, Yu Hin (Gary); Drexler-Lemire, Christopher; Shallit, Jeffrey 1 2017 Addendum to “Two theorems concerning rational approximations”. Zbl 1390.00054Carey, Norman; Clampitt, David 1 2017 Global functorial hypergestures over general skeleta for musical performance. Zbl 1354.00059Mazzola, Guerino; Mannone, Maria 3 2016 Bridging scale theory and geometrical approaches to harmony: the voice-leading duality between complementary chords. Zbl 1354.00057Harasim, Daniel; Schmidt, Stefan E.; Rohrmeier, Martin 2 2016 LR property of non-well-formed scales. Zbl 1346.00045Castrillón López, Marco; Domínguez Romero, Manuel 1 2016 Empirically testing Tonnetz, voice-leading, and spectral models of perceived triadic distance. Zbl 1346.00049Milne, Andrew J.; Holland, Simon 1 2016 The S-canon and the multi-S-canon: an introduction. Zbl 1354.00058Kastine, Jeremy; Montiel, Mariana 1 2016 Tone rows and tropes. Zbl 1346.00046Fripertinger, Harald; Lackner, Peter 3 2015 On the construction, comparison, and exchangeability of tuning systems. Zbl 1346.00048Liern, Vicente 2 2015 Pitch-and-rhythm interrelationships and musical patterns: analysis and modelling by subdivision schemes. Zbl 1332.00034Hed, Sigalit; Gjerdingen, Robert O.; Levin, David 2 2015 Remarks on “Tone rows and tropes” by Harald Fripertinger and Peter Lackner. Zbl 1345.00007Mead, Andrew 1 2015 Review of “Tone rows and tropes” by Harald Fripertinger and Peter Lackner. Zbl 1345.00008Morris, Robert 1 2015 Topology of musical data. Zbl 1327.00026Sethares, William A.; Budney, Ryan 4 2014 Formal semantics for interactive music scores: a framework to design, specify properties and execute interactive scenarios. Zbl 1327.00027Toro, Mauricio; Desainte-Catherine, Myriam; Rueda, Camilo 2 2014 Chordal and timbral morphologies using Hamiltonian cycles. Zbl 1327.00014Akhmedov, Azer; Winter, Michael 1 2014 Morphisms of generalized interval systems and PR-groups. Zbl 1327.00019Fiore, Thomas M.; Noll, Thomas; Satyendra, Ramon 9 2013 Tonal prisms: iterated quantization in chromatic tonality and Ravel’s ‘Ondine’. Zbl 1327.00029Yust, Jason 5 2013 Scalar context in musical models. Zbl 1327.00024Plotkin, Richard; Douthett, Jack 4 2013 Contemporary methods in mathematical music theory: a comparative case study. Zbl 1327.00020Hook, Julian 3 2013 Geometry and the quest for theoretical generality. Zbl 1327.00028Tymoczko, Dmitri 3 2013 A space for inflections: following up on JMM’s special issue on mathematical theories of voice leading. Zbl 1327.00030Yust, Jason 3 2013 Automata and music contour functions. Zbl 1327.00015Bozapalidou, Marianthi 3 2013 Toward the reconciliation of mathematical theories of voice leading. Zbl 1327.00037 2 2013 Commentary: Thoughts and reactions. Zbl 1326.00027Plotkin, Richard; Douthett, Jack 2 2013 Building generalized neo-Riemannian groups of musical transformations as extensions. Zbl 1327.00025Popoff, Alexandre 1 2013 Two theorems concerning rational approximations. Zbl 1264.00018Carey, Norman; Clampitt, David 5 2012 Singular homology on hypergestures. Zbl 1328.00101Mazzola, Guerino 4 2012 Introduction to the special issue: Mathematical and computational approaches to music: challenges in an interdisciplinary enterprise. Zbl 1264.00029Volk, Anja; Honingh, Aline 4 2012 Subdivision schemes and multi-resolution modelling for automated music synthesis and analysis. Zbl 1264.00019Hed, Sigalit; Gjerdingen, Robert O.; Levin, David 2 2012 A dynamical approach to music analysis. Zbl 1264.00028Pinto, Alberto 2 2012 Mathematical and computational modelling within a music analysis framework: motivic topologies as a case study. Zbl 1264.00017Buteau, Chantal; Anagnostopoulou, Christina 1 2012 Generalized Tonnetze. Zbl 1226.00017Catanzaro, Michael J. 9 2011 Modelling the similarity of pitch collections with expectation tensors. Zbl 1226.00022Milne, Andrew J.; Sethares, William A.; Laney, Robin; Sharp, David B. 7 2011 An algebra for periodic rhythms and scales. Zbl 1264.00016Amiot, Emmanuel; Sethares, William A. 7 2011 Algorithmic and computational approaches to pure-tone approximations of equal-tempered musical scales. Zbl 1264.00022Krantz, Richard; Douthett, Jack 6 2011 \(Z\)-relation and homometry in musical distributions. Zbl 1226.00020Mandereau, John; Ghisi, Daniele; Amiot, Emmanuel; Andreatta, Moreno; Agon, Carlos 4 2011 Discrete phase retrieval in musical structures. Zbl 1226.00021Mandereau, John; Ghisi, Daniele; Amiot, Emmanuel; Andreatta, Moreno; Agon, Carlos 2 2011 Quantization revisited: a mathematical and computational model. Zbl 1226.00023Murphy, Declan 1 2011 On the Euler scale and the \({\mu}\)Euclidean integer relation algorithm. Zbl 1264.00020Heßling, Hermann 1 2011 Well-formedness in two dimensions: a generalization of Carey and Clampitt’s theorem. Zbl 1195.00062Žabka, Marek 4 2010 Two musical paths to the Farey series and devil’s staircase. Zbl 1195.00059Cartwright, Julyan H. E.; Douthett, Jack; González, Diego L.; Krantz, Richard; Piro, Oreste 2 2010 On Hellegouarch’s definition of musical scales. Zbl 1195.00060Kassel, Adrien; Kassel, Christian 1 2010 A graph theoretic approach to tonal modulation. Zbl 1195.00061Walton, Adrian 1 2010 Categorical gestures, the diamond conjecture, Lewin’s question, and the Hammerklavier sonata. Zbl 1180.00014Mazzola, Guerino 9 2009 New perspectives on rhythmic canons and the spectral conjecture. Zbl 1175.00041Amiot, Emmanuel 6 2009 Algorithms for translational tiling. Zbl 1167.05013Kolountzakis, Mihail N.; Matolcsi, Máté 6 2009 Ionian theorem. Zbl 1183.68444Noll, Thomas 6 2009 Counterpoint in \(2k\)-tone equal temperament. Zbl 1228.00014Agustín-Aquino, Octavio A. 4 2009 Structural properties of Euclidean rhythms. Zbl 1175.00042Gómez-Martín, Francisco; Taslakian, Perouz; Toussaint, Godfried 3 2009 Tiling the integers with aperiodic tiles. Zbl 1167.05012Jedrzejewski, Franck 1 2009 Interlocking and Euclidean rhythms. Zbl 1175.00043Gómez-Martín, Francisco; Taslakian, Perouz; Toussaint, Godfried 1 2009 Minimum description length modelling of musical structure. Zbl 1184.68416Mavromatis, Panayotis 1 2009 Motivic analysis according to Rudolph Réti: Formalization by a topological model. Zbl 1155.00308Buteau, Chantal; Mazzola, Guerino 7 2008 Tuning continua and keyboard layouts. Zbl 1160.00310Milne, Andrew; Sethares, William; Plamondon, James 4 2008 Generalized diatonic scales. Zbl 1160.00308Jedrzejewski, Franck 3 2008 Representations of motivic spaces of a score in \(OpenMusic\). Zbl 1155.00309Buteau, Chantal; Vipperman, John 2 2008 Time-frequency representation of musical rhythm by continuous wavelets. Zbl 1155.00317Smith, Leigh M.; Honing, Henkjan 1 2008 Persistence and change: Local and global components of metre induction using inner metric analysis. Zbl 1155.00318Volk, Anja; Fleischer, Anja 1 2008 Autosimilar melodies. Zbl 1198.00003Amiot, Emmanuel 1 2008 David Lewin and maximally even sets. Zbl 1163.42311Amiot, Emmanuel 14 2007 Diagrams, gestures and formulae in music. Zbl 1139.00006Mazzola, Guerino; Andreatta, Moreno 14 2007 Musical intervals and special linear transformations. Zbl 1181.00022Noll, Thomas 14 2007 Continued fractions, best measurements, and musical scales and intervals. Zbl 1139.00005Douthett, J.; Krantz, R. 9 2007 Coherence and sameness in well-formed and pairwise well-formed scales. Zbl 1181.00019Carey, Norman 7 2007 Enharmonic systems: a theory of key signatures, enharmonic equivalence and diatonisism. Zbl 1181.00021Hook, Julian 6 2007 Editorial: The legacy of John Clough in mathematical music theory. Zbl 1181.01040Clampitt, David 2 2007 Timing in music and modal temporal logic. Zbl 1166.03309Marsden, Alan 1 2007 Cool tools: polysemic and non-commutative nets, subchain decompositions and cross-projecting pre-orders, object-graphs, chain-hom-sets and chain-label-hom-sets, forgetful functors, free categories of a net, and ghosts. Zbl 1139.00007Rahn, John 1 2007 all cited Publications top 5 cited Publications all top 5 Cited by 182 Authors 12 Noll, Thomas 10 Andreatta, Moreno 10 Mannone, Maria 10 Mazzola, Guerino 9 Amiot, Emmanuel 9 Yust, Jason 7 Clampitt, David 6 Milne, Andrew J. 5 Sethares, William A. 4 Agon, Carlos 4 Douthett, Jack 4 Harasim, Daniel 4 Jedrzejewski, Franck 4 Popoff, Alexandre 3 beim Graben, Peter 3 Carey, Norman 3 Hed, Sigalit 3 Peck, Robert W. 3 Potapov, Igor 3 Rohrmeier, Martin 2 Agustín-Aquino, Octavio A. 2 Arias-Valero, Juan Sebastián 2 Bozapalidou, Marianthi 2 Bras-Amorós, Maria 2 Bulger, David W. 2 Buteau, Chantal 2 Cannas, Sonia 2 Domínguez, Manuel A. 2 Ehresmann, Andree Charles 2 Favali, Federico 2 Fiore, Thomas M. 2 Ghisi, Daniele 2 Gjerdingen, Robert O. 2 Herff, Steffen A. 2 Hook, Julian L. 2 Kastine, Jeremy 2 Ko, Sang-Ki 2 Krantz, Richard J. 2 Laaksonen, Antti 2 Lanzarotto, Greta 2 Lemström, Kjell 2 Mandereau, John 2 Nuño, Luis 2 Pernazza, Ludovico 2 Schmidt, Stefan E. 2 Toussaint, Godfried T. 2 Turchet, Luca 2 Tymoczko, Dmitri 2 Volk, Anja 1 Abdulhay, Enas 1 Adler, Christopher 1 Affatato, Giovanni 1 Akbas, Esra 1 Akhmedov, Azer 1 Aktas, Mehmet Emin 1 Alafeef, Maha 1 Albini, Giovanni 1 Allouche, Jean-Paul Simon 1 Anagnostopoulou, Christina 1 Arias, Jaime 1 Arias, Juan Sebastián 1 Arunkumar, N. 1 Audétat, Pierre 1 Auricchio, Gennaro 1 Axenovich, Maria A. 1 Ayers, William R. 1 Ballinger, Brad 1 Bannerman, Aricca 1 Baroin, Gilles 1 Barrón-Fernández, Ricardo 1 Benbernou, Nadia M. 1 Bereg, Sergey N. 1 Berliner, Adam H. 1 Bernardi, Marco Paolo 1 Berry, Cameron 1 Bigo, Louis 1 Björklund, Otso 1 Bloch, Isabelle 1 Blutner, Reinhard 1 Brlek, Srečko 1 Budney, Ryan David 1 Cadeddu, Lucio 1 Callender, Clifton 1 Callet, Victoria 1 Cartwright, Julyan H. E. 1 Castrillón López, Marco 1 Castrillón, Marco 1 Castro, David 1 Cella, Carmine Emanuele 1 Chemillier, Marc 1 Chiu, Matt 1 Clark, Timothy L. 1 Cubarsí, Rafael 1 de Gérando, Stéphane 1 Dean, Roger T. 1 del Pozo, Isaac 1 Delgado Vega, Edgar Armando 1 Desainte-Catherine, Myriam 1 Di Donato, Balandino 1 Díaz-Báñez, Jose Miguel ...and 82 more Authors all top 5 Cited in 27 Journals 72 Journal of Mathematics and Music 2 Theoretical Computer Science 2 Journal of Mathematics and the Arts 1 American Mathematical Monthly 1 Discrete Mathematics 1 The Mathematical Intelligencer 1 Applied Mathematics and Computation 1 Fuzzy Sets and Systems 1 Journal of Computer and System Sciences 1 Journal of Differential Equations 1 Journal of Mathematical Psychology 1 Semigroup Forum 1 Computational Geometry 1 International Journal of Computer Mathematics 1 Topological Methods in Nonlinear Analysis 1 Annals of Mathematics and Artificial Intelligence 1 Journal of Combinatorial Optimization 1 Integers 1 Miscelánea Matemática 1 Quantum Information Processing 1 Mathematical Biosciences and Engineering 1 International Journal of Number Theory 1 Involve 1 Forum of Mathematics, Sigma 1 Lettera Matematica. International Edition 1 Journal of Logical and Algebraic Methods in Programming 1 SIAM Journal on Applied Algebra and Geometry all top 5 Cited in 34 Fields 142 General and overarching topics; collections (00-XX) 29 Computer science (68-XX) 20 Combinatorics (05-XX) 14 Number theory (11-XX) 12 Group theory and generalizations (20-XX) 9 Numerical analysis (65-XX) 7 Category theory; homological algebra (18-XX) 5 Abstract harmonic analysis (43-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Quantum theory (81-XX) 4 Operations research, mathematical programming (90-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Associative rings and algebras (16-XX) 3 Algebraic topology (55-XX) 3 Manifolds and cell complexes (57-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Commutative algebra (13-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Convex and discrete geometry (52-XX) 2 General topology (54-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 2 Biology and other natural sciences (92-XX) 1 General algebraic systems (08-XX) 1 Algebraic geometry (14-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year