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Journal of Mathematics and Music

Mathematical 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
Comments: Journal
Documents Indexed: 169 Publications (since 2007)
References Indexed: 162 Publications with 4,088 References.
all top 5

Authors

12 Mazzola, Guerino
10 Amiot, Emmanuel
7 Andreatta, Moreno
7 Noll, Thomas
6 Clampitt, David
6 Sethares, William A.
5 Carey, Norman
5 Conklin, Darrell
5 Douthett, Jack
5 Yust, Jason
4 Fowler, Michael D.
4 Krantz, Richard J.
4 Mannone, Maria
4 Milne, Andrew J.
3 Agustín-Aquino, Octavio A.
3 Buteau, Chantal
3 Harasim, Daniel
3 Hook, Julian L.
3 Marsden, Alan
3 Volk, Anja
2 Agon, Carlos
2 Allouche, Jean-Paul Simon
2 Arias-Valero, Juan Sebastián
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 Hed, Sigalit
2 Jedrzejewski, Franck
2 Levin, David N.
2 Lluis-Puebla, Emilio
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, Juan Sebastián
1 Arsie, Alessandro
1 Asensi Arranz, Roger
1 Au, Yu-Hin
1 Auricchio, Gennaro
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 Ferrarini, Luca
1 Ferraro, Andres
1 Fleischer, Anja
1 Forrest, David
1 Fram, Noah R.
1 Fripertinger, Harald
1 Garani, Shayan Srinivasa
1 Genuys, Grégoire
1 Georgopoulos, Apostolos P.
1 Gómez, Ricardo
1 Goodarzi, Saba
1 Gotham, Mark
1 Gruais, Isabelle
1 Gurin, Konstantin L.
...and 82 more Authors
all top 5

Fields

161 General and overarching topics; collections (00-XX)
25 Computer science (68-XX)
23 Number theory (11-XX)
21 Combinatorics (05-XX)
11 Category theory; homological algebra (18-XX)
10 History and biography (01-XX)
10 Group theory and generalizations (20-XX)
6 Dynamical systems and ergodic theory (37-XX)
5 Algebraic topology (55-XX)
5 Statistics (62-XX)
4 Abstract harmonic analysis (43-XX)
4 General topology (54-XX)
4 Probability theory and stochastic processes (60-XX)
4 Numerical analysis (65-XX)
4 Operations research, mathematical programming (90-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 Convex and discrete geometry (52-XX)
3 Quantum theory (81-XX)
2 Algebraic geometry (14-XX)
2 Associative rings and algebras (16-XX)
2 Partial differential equations (35-XX)
2 Geometry (51-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

Citations contained in zbMATH Open

106 Publications have been cited 366 times in 179 Documents Cited by Year
Musical intervals and special linear transformations. Zbl 1181.00022
Noll, Thomas
16
2007
David Lewin and maximally even sets. Zbl 1163.42311
Amiot, Emmanuel
15
2007
Diagrams, gestures and formulae in music. Zbl 1139.00006
Mazzola, Guerino; Andreatta, Moreno
14
2007
Introduction to gestural similarity in music. An application of category theory to the orchestra. Zbl 1469.00014
Mannone, Maria
11
2018
Generalized Tonnetze. Zbl 1226.00017
Catanzaro, Michael J.
10
2011
Exploring the space of perfectly balanced rhythms and scales. Zbl 1395.00022
Milne, Andrew J.; Bulger, David; Herff, Steffen A.
9
2017
Categorical gestures, the diamond conjecture, Lewin’s question, and the Hammerklavier sonata. Zbl 1180.00014
Mazzola, Guerino
9
2009
Morphisms of generalized interval systems and PR-groups. Zbl 1327.00019
Fiore, Thomas M.; Noll, Thomas; Satyendra, Ramon
9
2013
Continued fractions, best measurements, and musical scales and intervals. Zbl 1139.00005
Douthett, J.; Krantz, R.
9
2007
Coherence and sameness in well-formed and pairwise well-formed scales. Zbl 1181.00019
Carey, Norman
7
2007
Enharmonic systems: a theory of key signatures, enharmonic equivalence and diatonisism. Zbl 1181.00021
Hook, Julian
7
2007
New perspectives on rhythmic canons and the spectral conjecture. Zbl 1175.00041
Amiot, Emmanuel
7
2009
Algorithms for translational tiling. Zbl 1167.05013
Kolountzakis, Mihail N.; Matolcsi, Máté
7
2009
Motivic analysis according to Rudolph Réti: Formalization by a topological model. Zbl 1155.00308
Buteau, Chantal; Mazzola, Guerino
7
2008
Modelling the similarity of pitch collections with expectation tensors. Zbl 1226.00022
Milne, Andrew J.; Sethares, William A.; Laney, Robin; Sharp, David B.
7
2011
An algebra for periodic rhythms and scales. Zbl 1264.00016
Amiot, Emmanuel; Sethares, William A.
7
2011
Spaces of gestures are function spaces. Zbl 1406.00001
Arias, Juan Sebastián
6
2018
Ionian theorem. Zbl 1183.68444
Noll, Thomas
6
2009
Well-formedness in two dimensions: a generalization of Carey and Clampitt’s theorem. Zbl 1195.00062
Žabka, Marek
6
2010
Tonal prisms: iterated quantization in chromatic tonality and Ravel’s ‘Ondine’. Zbl 1327.00029
Yust, Jason
6
2013
Algorithmic and computational approaches to pure-tone approximations of equal-tempered musical scales. Zbl 1264.00022
Krantz, Richard; Douthett, Jack
6
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
Harmonic qualities in Debussy’s “Les sons et les parfums tournent dans l’air du soir”. Zbl 1395.00023
Yust, Jason
5
2017
Structural properties of Euclidean rhythms. Zbl 1175.00042
Gómez-Martín, Francisco; Taslakian, Perouz; Toussaint, Godfried
5
2009
\(Z\)-relation and homometry in musical distributions. Zbl 1226.00020
Mandereau, John; Ghisi, Daniele; Amiot, Emmanuel; Andreatta, Moreno; Agon, Carlos
5
2011
Singular homology on hypergestures. Zbl 1328.00101
Mazzola, Guerino
5
2012
Two theorems concerning rational approximations. Zbl 1264.00018
Carey, Norman; Clampitt, David
5
2012
Topology of musical data. Zbl 1327.00026
Sethares, William A.; Budney, Ryan
5
2014
Counterpoint in \(2k\)-tone equal temperament. Zbl 1228.00014
Agustín-Aquino, Octavio A.
4
2009
Kaleidoscope substitutions and pairwise well-formed modes: major-minor duality transformationally revisited. Zbl 1427.00039
Noll, Thomas; Clampitt, David
4
2018
Scalar context in musical models. Zbl 1327.00024
Plotkin, Richard; Douthett, Jack
4
2013
Automata and music contour functions. Zbl 1327.00015
Bozapalidou, Marianthi
4
2013
Introduction to the special issue: Mathematical and computational approaches to music: challenges in an interdisciplinary enterprise. Zbl 1264.00029
Volk, Anja; Honingh, Aline
4
2012
Tuning continua and keyboard layouts. Zbl 1160.00310
Milne, Andrew; Sethares, William; Plamondon, James
4
2008
Bridging scale theory and geometrical approaches to harmony: the voice-leading duality between complementary chords. Zbl 1354.00057
Harasim, Daniel; Schmidt, Stefan E.; Rohrmeier, Martin
3
2016
Global functorial hypergestures over general skeleta for musical performance. Zbl 1354.00059
Mazzola, Guerino; Mannone, Maria
3
2016
LR property of non-well-formed scales. Zbl 1346.00045
Castrillón López, Marco; Domínguez Romero, Manuel
3
2016
Tone rows and tropes. Zbl 1346.00046
Fripertinger, Harald; Lackner, Peter
3
2015
Discrete phase retrieval in musical structures. Zbl 1226.00021
Mandereau, John; Ghisi, Daniele; Amiot, Emmanuel; Andreatta, Moreno; Agon, Carlos
3
2011
Editorial. Music and combinatorics on words: a historical survey. Zbl 1427.00031
3
2018
Combinatorics of words and morphisms in some pieces of Tom Johnson. Zbl 1427.00028
Allouche, Jean-Paul; Johnson, Tom
3
2018
Contemporary methods in mathematical music theory: a comparative case study. Zbl 1327.00020
Hook, Julian
3
2013
Geometry and the quest for theoretical generality. Zbl 1327.00028
Tymoczko, Dmitri
3
2013
A space for inflections: following up on JMM’s special issue on mathematical theories of voice leading. Zbl 1327.00030
Yust, Jason
3
2013
Relational poly-Klumpenhouwer networks for transformational and voice-leading analysis. Zbl 1406.00003
Popoff, Alexandre; Andreatta, Moreno; Ehresmann, Andrée
3
2018
Generalized diatonic scales. Zbl 1160.00308
Jedrzejewski, Franck
3
2008
Discovering distorted repeating patterns in polyphonic music through longest increasing subsequences. Zbl 1473.00019
Laaksonen, Antti; Lemström, Kjell
3
2021
Pseudo-distances between chords of different cardinality on generalized voice-leading spaces. Zbl 1429.00015
Genuys, Grégoire
3
2019
Gauge models of musical forces. Zbl 1472.00044
Blutner, Reinhard; Graben, Peter Beim
3
2021
Perfect balance and circularly rich words. Zbl 1397.00035
Carey, Norman
2
2017
Editorial: The legacy of John Clough in mathematical music theory. Zbl 1181.01040
Clampitt, David
2
2007
Interlocking and Euclidean rhythms. Zbl 1175.00043
Gómez-Martín, Francisco; Taslakian, Perouz; Toussaint, Godfried
2
2009
Representations of motivic spaces of a score in \(OpenMusic\). Zbl 1155.00309
Buteau, Chantal; Vipperman, John
2
2008
Time-frequency representation of musical rhythm by continuous wavelets. Zbl 1155.00317
Smith, Leigh M.; Honing, Henkjan
2
2008
Minimum description length modelling of musical structure. Zbl 1184.68416
Mavromatis, Panayotis
2
2009
Two musical paths to the Farey series and devil’s staircase. Zbl 1195.00059
Cartwright, Julyan H. E.; Douthett, Jack; González, Diego L.; Krantz, Richard; Piro, Oreste
2
2010
Pitch-and-rhythm interrelationships and musical patterns: analysis and modelling by subdivision schemes. Zbl 1332.00034
Hed, Sigalit; Gjerdingen, Robert O.; Levin, David
2
2015
On the construction, comparison, and exchangeability of tuning systems. Zbl 1346.00048
Liern, Vicente
2
2015
Dual lattice-path transformations and the dynamics of the major and minor exo-modes. Zbl 1427.00038
Noll, Thomas
2
2018
Marcel Frémiot, determinism versus chaos, and the tower of Hanoi. Zbl 1427.00027
Allouche, Jean-Paul
2
2018
Commentary: Thoughts and reactions. Zbl 1326.00027
Plotkin, Richard; Douthett, Jack
2
2013
Subdivision schemes and multi-resolution modelling for automated music synthesis and analysis. Zbl 1264.00019
Hed, Sigalit; Gjerdingen, Robert O.; Levin, David
2
2012
A dynamical approach to music analysis. Zbl 1264.00028
Pinto, Alberto
2
2012
Formal semantics for interactive music scores: a framework to design, specify properties and execute interactive scenarios. Zbl 1327.00027
Toro, Mauricio; Desainte-Catherine, Myriam; Rueda, Camilo
2
2014
Parsimonious graphs for the most common trichords and tetrachords. Zbl 1473.00021
Nuño, Luis
2
2021
Some observations on autocorrelated patterns within computational meter identification. Zbl 1473.00025
White, Christopher Wm.
2
2021
Generalized Tonnetze and Zeitnetze, and the topology of music concepts. Zbl 1466.00023
Yust, Jason
2
2020
Homological persistence in time series: an application to music classification. Zbl 1466.00012
Bergomi, Mattia G.; Baratè, Adriano
2
2020
Musical pitch quantization as an eigenvalue problem. Zbl 1466.00011
beim Graben, Peter; Mannone, Maria
2
2020
Entropy of Fourier coefficients of periodic musical objects. Zbl 1481.00009
Amiot, Emmanuel
2
2021
Designing inharmonic strings. Zbl 1457.35083
Sethares, William A.; Hobby, Kevin
1
2018
Tiling the integers with aperiodic tiles. Zbl 1167.05012
Jedrzejewski, Franck
1
2009
Persistence and change: Local and global components of metre induction using inner metric analysis. Zbl 1155.00318
Volk, Anja; Fleischer, Anja
1
2008
Autosimilar melodies. Zbl 1198.00003
Amiot, Emmanuel
1
2008
Timing in music and modal temporal logic. Zbl 1166.03309
Marsden, Alan
1
2007
The S-canon and the multi-S-canon: an introduction. Zbl 1354.00058
Kastine, Jeremy; Montiel, Mariana
1
2016
On Hellegouarch’s definition of musical scales. Zbl 1195.00060
Kassel, Adrien; Kassel, Christian
1
2010
A graph theoretic approach to tonal modulation. Zbl 1195.00061
Walton, Adrian
1
2010
Notes and note pairs in Nørgård’s infinity series. Zbl 1390.00053
Au, Yu Hin (Gary); Drexler-Lemire, Christopher; Shallit, Jeffrey
1
2017
Addendum to “Two theorems concerning rational approximations”. Zbl 1390.00054
Carey, Norman; Clampitt, David
1
2017
Empirically testing Tonnetz, voice-leading, and spectral models of perceived triadic distance. Zbl 1346.00049
Milne, Andrew J.; Holland, Simon
1
2016
Remarks on “Tone rows and tropes” by Harald Fripertinger and Peter Lackner. Zbl 1345.00007
Mead, Andrew
1
2015
Review of “Tone rows and tropes” by Harald Fripertinger and Peter Lackner. Zbl 1345.00008
Morris, Robert
1
2015
Quantization revisited: a mathematical and computational model. Zbl 1226.00023
Murphy, Declan
1
2011
Naming and ordering the modes, in light of combinatorics on words. Zbl 1427.00034
Clampitt, David; Noll, Thomas
1
2018
Variety and multiplicity for partitioned factors in Christoffel and Sturmian words. Zbl 1427.00033
Carey, Norman; Clampitt, David
1
2018
Creating improvisations on chord progressions using suffix trees. Zbl 1427.00029
Ayad, Lorraine A. K.; Chemillier, Marc; Pissis, Solon P.
1
2018
John Cage’s Silent Piece and the Japanese gardening technique of shakkei: formalizing Whittington’s conjecture through conceptual graphs. Zbl 1428.00022
Fowler, Michael D.
1
2019
Effects of weighting the ends of a tubular bell on modular frequencies. Zbl 1428.74097
Oliver, D. L.; Arsie, A.
1
2019
Building generalized neo-Riemannian groups of musical transformations as extensions. Zbl 1327.00025
Popoff, Alexandre
1
2013
Toward the reconciliation of mathematical theories of voice leading. Zbl 1327.00037
1
2013
On the Euler scale and the \({\mu}\)Euclidean integer relation algorithm. Zbl 1264.00020
Heßling, Hermann
1
2011
Mathematical and computational modelling within a music analysis framework: motivic topologies as a case study. Zbl 1264.00017
Buteau, Chantal; Anagnostopoulou, Christina
1
2012
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 1139.00007
Rahn, John
1
2007
Chordal and timbral morphologies using Hamiltonian cycles. Zbl 1327.00014
Akhmedov, Azer; Winter, Michael
1
2014
Mining contour sequences for significant closed patterns. Zbl 1473.00017
Conklin, Darrell
1
2021
Triadic patterns across classical and popular music corpora: stylistic conventions, or characteristic idioms? Zbl 1473.00023
Sears, David R. W.; Forrest, David
1
2021
A computational exploration of melodic patterns in Arab-Andalusian music. Zbl 1473.00022
Nuttall, Thomas; Casado, Miguel G.; Ferraro, Andres; Conklin, Darrell; Repetto, Rafael Caro
1
2021
Exploring annotations for musical pattern discovery gathered with digital annotation tools. Zbl 1473.00024
Tomašević, Darian; Wells, Stephan; Ren, Iris Yuping; Volk, Anja; Pesek, Matevž
1
2021
On features of fugue subjects. A comparison of J. S. Bach and later composers. Zbl 1466.00021
Rydén, Jesper
1
2020
Discovering distorted repeating patterns in polyphonic music through longest increasing subsequences. Zbl 1473.00019
Laaksonen, Antti; Lemström, Kjell
3
2021
Gauge models of musical forces. Zbl 1472.00044
Blutner, Reinhard; Graben, Peter Beim
3
2021
Parsimonious graphs for the most common trichords and tetrachords. Zbl 1473.00021
Nuño, Luis
2
2021
Some observations on autocorrelated patterns within computational meter identification. Zbl 1473.00025
White, Christopher Wm.
2
2021
Entropy of Fourier coefficients of periodic musical objects. Zbl 1481.00009
Amiot, Emmanuel
2
2021
Mining contour sequences for significant closed patterns. Zbl 1473.00017
Conklin, Darrell
1
2021
Triadic patterns across classical and popular music corpora: stylistic conventions, or characteristic idioms? Zbl 1473.00023
Sears, David R. W.; Forrest, David
1
2021
A computational exploration of melodic patterns in Arab-Andalusian music. Zbl 1473.00022
Nuttall, Thomas; Casado, Miguel G.; Ferraro, Andres; Conklin, Darrell; Repetto, Rafael Caro
1
2021
Exploring annotations for musical pattern discovery gathered with digital annotation tools. Zbl 1473.00024
Tomašević, Darian; Wells, Stephan; Ren, Iris Yuping; Volk, Anja; Pesek, Matevž
1
2021
Beneath (or beyond) the surface: discovering voice-leading patterns with skip-grams. Zbl 1481.00013
Sears, David R. W.; Widmer, Gerhard
1
2021
A detailed list and a periodic table of set classes. Zbl 1481.00012
Nuño, Luis
1
2021
On the topological characterization of gestures in a convenient category of spaces. Zbl 1469.00013
Clark, Timothy L.
1
2021
Quantum GestART: identifying and applying correlations between mathematics, art, and perceptual organization. Zbl 1472.00045
Mannone, Maria; Favali, Federico; Di Donato, Balandino; Turchet, Luca
1
2021
Generalized Tonnetze and Zeitnetze, and the topology of music concepts. Zbl 1466.00023
Yust, Jason
2
2020
Homological persistence in time series: an application to music classification. Zbl 1466.00012
Bergomi, Mattia G.; Baratè, Adriano
2
2020
Musical pitch quantization as an eigenvalue problem. Zbl 1466.00011
beim Graben, Peter; Mannone, Maria
2
2020
On features of fugue subjects. A comparison of J. S. Bach and later composers. Zbl 1466.00021
Rydén, Jesper
1
2020
Modulation in tetradic harmony and its role in jazz. Zbl 1466.00010
Agustín-Aquino, Octavio A.; Mazzola, Guerino
1
2020
Why topology? Zbl 1466.00022
Tymoczko, Dmitri
1
2020
Pseudo-distances between chords of different cardinality on generalized voice-leading spaces. Zbl 1429.00015
Genuys, Grégoire
3
2019
John Cage’s Silent Piece and the Japanese gardening technique of shakkei: formalizing Whittington’s conjecture through conceptual graphs. Zbl 1428.00022
Fowler, Michael D.
1
2019
Effects of weighting the ends of a tubular bell on modular frequencies. Zbl 1428.74097
Oliver, D. L.; Arsie, A.
1
2019
Introduction to gestural similarity in music. An application of category theory to the orchestra. Zbl 1469.00014
Mannone, Maria
11
2018
Spaces of gestures are function spaces. Zbl 1406.00001
Arias, Juan Sebastián
6
2018
Kaleidoscope substitutions and pairwise well-formed modes: major-minor duality transformationally revisited. Zbl 1427.00039
Noll, Thomas; Clampitt, David
4
2018
Editorial. Music and combinatorics on words: a historical survey. Zbl 1427.00031
3
2018
Combinatorics of words and morphisms in some pieces of Tom Johnson. Zbl 1427.00028
Allouche, Jean-Paul; Johnson, Tom
3
2018
Relational poly-Klumpenhouwer networks for transformational and voice-leading analysis. Zbl 1406.00003
Popoff, Alexandre; Andreatta, Moreno; Ehresmann, Andrée
3
2018
Dual lattice-path transformations and the dynamics of the major and minor exo-modes. Zbl 1427.00038
Noll, Thomas
2
2018
Marcel Frémiot, determinism versus chaos, and the tower of Hanoi. Zbl 1427.00027
Allouche, Jean-Paul
2
2018
Designing inharmonic strings. Zbl 1457.35083
Sethares, William A.; Hobby, Kevin
1
2018
Naming and ordering the modes, in light of combinatorics on words. Zbl 1427.00034
Clampitt, David; Noll, Thomas
1
2018
Variety and multiplicity for partitioned factors in Christoffel and Sturmian words. Zbl 1427.00033
Carey, Norman; Clampitt, David
1
2018
Creating improvisations on chord progressions using suffix trees. Zbl 1427.00029
Ayad, Lorraine A. K.; Chemillier, Marc; Pissis, Solon P.
1
2018
Exploring the space of perfectly balanced rhythms and scales. Zbl 1395.00022
Milne, Andrew J.; Bulger, David; Herff, Steffen A.
9
2017
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
Harmonic qualities in Debussy’s “Les sons et les parfums tournent dans l’air du soir”. Zbl 1395.00023
Yust, Jason
5
2017
Perfect balance and circularly rich words. Zbl 1397.00035
Carey, Norman
2
2017
Notes and note pairs in Nørgård’s infinity series. Zbl 1390.00053
Au, Yu Hin (Gary); Drexler-Lemire, Christopher; Shallit, Jeffrey
1
2017
Addendum to “Two theorems concerning rational approximations”. Zbl 1390.00054
Carey, Norman; Clampitt, David
1
2017
Bridging scale theory and geometrical approaches to harmony: the voice-leading duality between complementary chords. Zbl 1354.00057
Harasim, Daniel; Schmidt, Stefan E.; Rohrmeier, Martin
3
2016
Global functorial hypergestures over general skeleta for musical performance. Zbl 1354.00059
Mazzola, Guerino; Mannone, Maria
3
2016
LR property of non-well-formed scales. Zbl 1346.00045
Castrillón López, Marco; Domínguez Romero, Manuel
3
2016
The S-canon and the multi-S-canon: an introduction. Zbl 1354.00058
Kastine, Jeremy; Montiel, Mariana
1
2016
Empirically testing Tonnetz, voice-leading, and spectral models of perceived triadic distance. Zbl 1346.00049
Milne, Andrew J.; Holland, Simon
1
2016
Tone rows and tropes. Zbl 1346.00046
Fripertinger, Harald; Lackner, Peter
3
2015
Pitch-and-rhythm interrelationships and musical patterns: analysis and modelling by subdivision schemes. Zbl 1332.00034
Hed, Sigalit; Gjerdingen, Robert O.; Levin, David
2
2015
On the construction, comparison, and exchangeability of tuning systems. Zbl 1346.00048
Liern, Vicente
2
2015
Remarks on “Tone rows and tropes” by Harald Fripertinger and Peter Lackner. Zbl 1345.00007
Mead, Andrew
1
2015
Review of “Tone rows and tropes” by Harald Fripertinger and Peter Lackner. Zbl 1345.00008
Morris, Robert
1
2015
Topology of musical data. Zbl 1327.00026
Sethares, William A.; Budney, Ryan
5
2014
Formal semantics for interactive music scores: a framework to design, specify properties and execute interactive scenarios. Zbl 1327.00027
Toro, Mauricio; Desainte-Catherine, Myriam; Rueda, Camilo
2
2014
Chordal and timbral morphologies using Hamiltonian cycles. Zbl 1327.00014
Akhmedov, Azer; Winter, Michael
1
2014
Morphisms of generalized interval systems and PR-groups. Zbl 1327.00019
Fiore, Thomas M.; Noll, Thomas; Satyendra, Ramon
9
2013
Tonal prisms: iterated quantization in chromatic tonality and Ravel’s ‘Ondine’. Zbl 1327.00029
Yust, Jason
6
2013
Scalar context in musical models. Zbl 1327.00024
Plotkin, Richard; Douthett, Jack
4
2013
Automata and music contour functions. Zbl 1327.00015
Bozapalidou, Marianthi
4
2013
Contemporary methods in mathematical music theory: a comparative case study. Zbl 1327.00020
Hook, Julian
3
2013
Geometry and the quest for theoretical generality. Zbl 1327.00028
Tymoczko, Dmitri
3
2013
A space for inflections: following up on JMM’s special issue on mathematical theories of voice leading. Zbl 1327.00030
Yust, Jason
3
2013
Commentary: Thoughts and reactions. Zbl 1326.00027
Plotkin, Richard; Douthett, Jack
2
2013
Building generalized neo-Riemannian groups of musical transformations as extensions. Zbl 1327.00025
Popoff, Alexandre
1
2013
Toward the reconciliation of mathematical theories of voice leading. Zbl 1327.00037
1
2013
Singular homology on hypergestures. Zbl 1328.00101
Mazzola, Guerino
5
2012
Two theorems concerning rational approximations. Zbl 1264.00018
Carey, Norman; Clampitt, David
5
2012
Introduction to the special issue: Mathematical and computational approaches to music: challenges in an interdisciplinary enterprise. Zbl 1264.00029
Volk, Anja; Honingh, Aline
4
2012
Subdivision schemes and multi-resolution modelling for automated music synthesis and analysis. Zbl 1264.00019
Hed, Sigalit; Gjerdingen, Robert O.; Levin, David
2
2012
A dynamical approach to music analysis. Zbl 1264.00028
Pinto, Alberto
2
2012
Mathematical and computational modelling within a music analysis framework: motivic topologies as a case study. Zbl 1264.00017
Buteau, Chantal; Anagnostopoulou, Christina
1
2012
Generalized Tonnetze. Zbl 1226.00017
Catanzaro, Michael J.
10
2011
Modelling the similarity of pitch collections with expectation tensors. Zbl 1226.00022
Milne, Andrew J.; Sethares, William A.; Laney, Robin; Sharp, David B.
7
2011
An algebra for periodic rhythms and scales. Zbl 1264.00016
Amiot, Emmanuel; Sethares, William A.
7
2011
Algorithmic and computational approaches to pure-tone approximations of equal-tempered musical scales. Zbl 1264.00022
Krantz, Richard; Douthett, Jack
6
2011
\(Z\)-relation and homometry in musical distributions. Zbl 1226.00020
Mandereau, John; Ghisi, Daniele; Amiot, Emmanuel; Andreatta, Moreno; Agon, Carlos
5
2011
Discrete phase retrieval in musical structures. Zbl 1226.00021
Mandereau, John; Ghisi, Daniele; Amiot, Emmanuel; Andreatta, Moreno; Agon, Carlos
3
2011
Quantization revisited: a mathematical and computational model. Zbl 1226.00023
Murphy, Declan
1
2011
On the Euler scale and the \({\mu}\)Euclidean integer relation algorithm. Zbl 1264.00020
Heßling, Hermann
1
2011
Well-formedness in two dimensions: a generalization of Carey and Clampitt’s theorem. Zbl 1195.00062
Žabka, Marek
6
2010
Two musical paths to the Farey series and devil’s staircase. Zbl 1195.00059
Cartwright, Julyan H. E.; Douthett, Jack; González, Diego L.; Krantz, Richard; Piro, Oreste
2
2010
On Hellegouarch’s definition of musical scales. Zbl 1195.00060
Kassel, Adrien; Kassel, Christian
1
2010
A graph theoretic approach to tonal modulation. Zbl 1195.00061
Walton, Adrian
1
2010
Categorical gestures, the diamond conjecture, Lewin’s question, and the Hammerklavier sonata. Zbl 1180.00014
Mazzola, Guerino
9
2009
New perspectives on rhythmic canons and the spectral conjecture. Zbl 1175.00041
Amiot, Emmanuel
7
2009
Algorithms for translational tiling. Zbl 1167.05013
Kolountzakis, Mihail N.; Matolcsi, Máté
7
2009
Ionian theorem. Zbl 1183.68444
Noll, Thomas
6
2009
Structural properties of Euclidean rhythms. Zbl 1175.00042
Gómez-Martín, Francisco; Taslakian, Perouz; Toussaint, Godfried
5
2009
Counterpoint in \(2k\)-tone equal temperament. Zbl 1228.00014
Agustín-Aquino, Octavio A.
4
2009
Interlocking and Euclidean rhythms. Zbl 1175.00043
Gómez-Martín, Francisco; Taslakian, Perouz; Toussaint, Godfried
2
2009
Minimum description length modelling of musical structure. Zbl 1184.68416
Mavromatis, Panayotis
2
2009
Tiling the integers with aperiodic tiles. Zbl 1167.05012
Jedrzejewski, Franck
1
2009
Motivic analysis according to Rudolph Réti: Formalization by a topological model. Zbl 1155.00308
Buteau, Chantal; Mazzola, Guerino
7
2008
Tuning continua and keyboard layouts. Zbl 1160.00310
Milne, Andrew; Sethares, William; Plamondon, James
4
2008
Generalized diatonic scales. Zbl 1160.00308
Jedrzejewski, Franck
3
2008
Representations of motivic spaces of a score in \(OpenMusic\). Zbl 1155.00309
Buteau, Chantal; Vipperman, John
2
2008
Time-frequency representation of musical rhythm by continuous wavelets. Zbl 1155.00317
Smith, Leigh M.; Honing, Henkjan
2
2008
Persistence and change: Local and global components of metre induction using inner metric analysis. Zbl 1155.00318
Volk, Anja; Fleischer, Anja
1
2008
Autosimilar melodies. Zbl 1198.00003
Amiot, Emmanuel
1
2008
Musical intervals and special linear transformations. Zbl 1181.00022
Noll, Thomas
16
2007
David Lewin and maximally even sets. Zbl 1163.42311
Amiot, Emmanuel
15
2007
Diagrams, gestures and formulae in music. Zbl 1139.00006
Mazzola, Guerino; Andreatta, Moreno
14
2007
...and 6 more Documents
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Cited by 207 Authors

14 Noll, Thomas
12 Andreatta, Moreno
11 Mazzola, Guerino
10 Amiot, Emmanuel
10 Mannone, Maria
10 Yust, Jason
8 Clampitt, David
6 Milne, Andrew J.
6 Sethares, William A.
5 Harasim, Daniel
4 Agon, Carlos
4 Douthett, Jack
4 Jedrzejewski, Franck
4 Potapov, Igor
3 beim Graben, Peter
3 Bozapalidou, Marianthi
3 Carey, Norman
3 Ehresmann, Andree Charles
3 Fiore, Thomas M.
3 Hed, Sigalit
3 Lanzarotto, Greta
3 Levin, David N.
3 Peck, Robert W.
3 Popoff, Alexandre
3 Rohrmeier, Martin
2 Agustín-Aquino, Octavio A.
2 Arias-Valero, Juan Sebastián
2 Auricchio, Gennaro
2 Bras-Amorós, Maria
2 Bulger, David W.
2 Buteau, Chantal
2 Cannas, Sonia
2 Domínguez, Manuel A.
2 Favali, Federico
2 Ferrarini, Luca
2 Ghisi, Daniele
2 Gjerdingen, Robert O.
2 Guichaoua, Corentin
2 Herff, Steffen A.
2 Hook, Julian L.
2 Kastine, Jeremy
2 Ko, Sang-Ki
2 Krantz, Richard J.
2 Laaksonen, Antti
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 Alvanos, Paraskevas
1 Anagnostopoulou, Christina
1 Arias, Jaime
1 Arias, Juan Sebastián
1 Arunkumar, N.
1 Asensi Arranz, Roger
1 Audétat, Pierre
1 Axenovich, Maria A.
1 Ayers, William R.
1 Ballinger, Brad
1 Bannerman, Aricca
1 Baroin, Gilles
1 Barrón-Fernández, Ricardo
1 Bell, Paul C.
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 Bruckstein, Alfred Marcel
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 Conklin, Darrell
...and 107 more Authors
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Cited in 36 Fields

158 General and overarching topics; collections (00-XX)
32 Computer science (68-XX)
21 Combinatorics (05-XX)
16 Number theory (11-XX)
13 Group theory and generalizations (20-XX)
9 Category theory; homological algebra (18-XX)
9 Numerical analysis (65-XX)
5 Abstract harmonic analysis (43-XX)
5 Operations research, mathematical programming (90-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Algebraic topology (55-XX)
4 Quantum theory (81-XX)
3 Mathematical logic and foundations (03-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Associative rings and algebras (16-XX)
3 Convex and discrete geometry (52-XX)
3 Manifolds and cell complexes (57-XX)
3 Probability theory and stochastic processes (60-XX)
3 Statistics (62-XX)
2 History and biography (01-XX)
2 Commutative algebra (13-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 General topology (54-XX)
2 Mechanics of particles and systems (70-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Biology and other natural sciences (92-XX)
1 General algebraic systems (08-XX)
1 Algebraic geometry (14-XX)
1 Measure and integration (28-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 Mathematics education (97-XX)

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