Journal of Mathematics and Music

Papers
(The median citation count of Journal of Mathematics and Music is 0. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-06-01 to 2025-06-01.)
ArticleCitations
Algebraic tunings8
About some products of Fourier coefficients: proving a conjecture of Jason Yust4
Exhaustive chord progressions and their use in music composition4
Mathematical foundations of complex tonality3
A review of Godfried Toussaint's The Geometry of Musical Rhythm3
Topological data analysis of Korean music in Jeongganbo: a cycle structure3
An algebra of chords for a non-degenerate Tonnetz2
A geometric framework for pitch estimation on acoustic musical signals2
Towards a mathematical foundation for music theory and composition: a theory of structure2
Tonal harmony and the topology of dynamical score networks2
Colleague, collaborator, friend Jack Douthett (1942–2021)2
On the divisions of the octave in generalized Pythagorean scales and their bidimensional representation2
Turning the volvelle: Exploring Jack Douthett's voice leading dynamics2
In Memoriam2
Overcoming amnesia: on Xenakis's algebraic sources for musical theorization and composition2
Mathematical model of modulation in traditional Chinese music: theory and computational implementation2
The inconstancy of music2
Renaissance canons with asymmetric schemes1
Musical stylistic analysis: a study of intervallic transition graphs via persistent homology1
Letters on Hook's group, 20001
Explicit presentations of topological categories of gestures1
Exploring Musical Spaces: A Synthesis of Mathematical Approaches1
Ostinatos in Black-Atlantic traditions: generic-specific similarity and proximity1
Two letters by Jack Douthett on uniform triadic transformations1
Three-string inharmonic networks1
Antisphere : exploring non-Euclidean musical spaces1
Symbolic dynamical scales: modes, orbitals, and transversals1
Machine composition of Korean music via topological data analysis and artificial neural network1
Genredynamics: a perceptual calculus of genre0
Minimally non-diatonic pc-sets0
Type and class vectors and matrices in ℤn. Application to ℤ6, ℤ7, and ℤ120
Jack Douthett and mathematical music theory0
A different kind of meantone temperament and a novel mapping from the harmonic series to Pythagorean pitch classes0
A model for tonal progressions of seventh chords0
Choosing the representative tones of an abstract Pythagorean scale with regard to just intonation0
Composing Cagean silence0
Parsimonious sequences of finite sets and their applications to chord progressions and music composition0
A geometric model for cadential forces0
Generalizations of Euler's Tonnetz on triangulated surfaces0
A two-dimensional representation of musical chords using the simplicity of frequency and period ratios as coordinates0
Music-driven geometric and topologic intuition: a case study with the Klein bottle0
A three-dimensional timbre model via Peano curves0
A comparative analysis of melodic rhythm in two corpora of American popular music0
The envelopes and amplitude fluctuations of consonant intervals and chords, and their inversions, arising in different tuning systems0
Minimum description length for selection of models of musical rhythm0
An exercise in formalizing jazz leadsheet structures0
Iterative method of construction for smooth rhythms0
Diatonic minimum spread tuning0
Iterative method of construction for almost smooth rhythms0
Rhythm, mathematics, and Godfried Toussaint0
Parsimonious sequences of pitch-class sets: bipartition through inversion and its applications to music composition0
Abstract representations for musical models: towards a metalanguage for music0
Structural properties of multi-octave scales0
Letters on P-Relations, 1992–19970
Teponazcuauhtla, or “Forest of Resonances” Mesoamerican Plot of Harmony0
A framework for topological music analysis (TMA)0
Barberpole tempo illusions0
Correction0
Jack Douthett’s letters0
Quantum-like melody perception0
The scale of the Old Hispanic chant0
Correction0
Quantum approach to jam session0
Hadamard transforms of pure-duple rhythms0
The melodic beat: exploring asymmetry inpolskaperformance0
The line of fifths and the co-evolution of tonal pitch-classes0
An integer linear programming model for tilings0
Partitions, their classes, and multicolour evenness0
José Manuel López López’s Chart for managing tempi0
Musicological, computational, and conceptual aspects of first-species counterpoint theory0
Hierarchical set theory0
Fishing for complements with chord, scale, and rhythm nets0
Grammar-based compression and its use in symbolic music analysis0
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