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 2022-05-01 to 2026-05-01.)
ArticleCitations
Algebraic tunings5
About some products of Fourier coefficients: proving a conjecture of Jason Yust5
Generalized Carlos scales4
Exhaustive chord progressions and their use in music composition4
Mathematical foundations of complex tonality4
Topological data analysis of Korean music in Jeongganbo: a cycle structure4
An algebra of chords for a non-degenerate Tonnetz3
In Memoriam3
Persistent homology of music network with three different distances2
Colleague, collaborator, friend Jack Douthett (1942–2021)2
The inconstancy of music2
Mathematical model of modulation in traditional Chinese music: theory and computational implementation2
On the divisions of the octave in generalized Pythagorean scales and their bidimensional representation2
Overcoming amnesia: on Xenakis's algebraic sources for musical theorization and composition2
Turning the volvelle: Exploring Jack Douthett's voice leading dynamics1
Explicit presentations of topological categories of gestures1
Musical stylistic analysis: a study of intervallic transition graphs via persistent homology1
Letters on Hook's group, 20001
Self-similar melodies and Tom Johnson's relationship with maths1
Renaissance canons with asymmetric schemes1
Machine composition of Korean music via topological data analysis and artificial neural network1
Towards a mathematical foundation for music theory and composition: a theory of structure1
Ostinatos in Black-Atlantic traditions: generic-specific similarity and proximity1
Three-string inharmonic networks1
Two letters by Jack Douthett on uniform triadic transformations1
Dissonance, sound spectrum and musical scale for ancient idiophones and aerophones0
Generating non-periodic pitch sequences inspired by the tiling process developed by Tom Johnson0
Jack Douthett’s letters0
A framework for topological music analysis (TMA)0
Antisphere : exploring non-Euclidean musical spaces0
Fishing for complements with chord, scale, and rhythm nets0
Choosing the representative tones of an abstract Pythagorean scale with regard to just intonation0
Type and class vectors and matrices in ℤn. Application to ℤ6, ℤ7, and ℤ120
Parsimonious sequences of pitch-class sets: bipartition through inversion and its applications to music composition0
The art of asking (the right) musical questions to mathematicians: Tom Johnson's contribution to the MaMuX seminar0
Quantum approach to jam session0
A novel characterization of ME sets0
Twelve years later and the (12, 4, 3) block design0
Musicological, computational, and conceptual aspects of first-species counterpoint theory0
Letters on P-Relations, 1992–19970
Between two realms: a study of the superhexatonic scales0
The scale of the Old Hispanic chant0
From Fourier phase to musical realization: paths between homometric pitch-class distributions0
A comparative analysis of melodic rhythm in two corpora of American popular music0
Iterative method of construction for almost smooth rhythms0
Learning to Listen, Listening to Learn0
Exploring Musical Spaces: A Synthesis of Mathematical Approaches0
After Tom0
Mathematical spheres, an interview with Tom Johnson0
A different kind of meantone temperament and a novel mapping from the harmonic series to Pythagorean pitch classes0
Tom Johnson and a rational theory of harmony0
Jack Douthett and mathematical music theory0
Composing Cagean silence0
Minimum description length for selection of models of musical rhythm0
Rhythm, mathematics, and Godfried Toussaint0
Structural properties of multi-octave scales0
A geometric model for cadential forces0
Some discontinuous properties of the phases of the DFT of pc-sets0
Teponazcuauhtla, or “Forest of Resonances” Mesoamerican Plot of Harmony0
Correction0
The envelopes and amplitude fluctuations of consonant intervals and chords, and their inversions, arising in different tuning systems0
Tom Johnson, logic, and mathematics0
Genredynamics: a perceptual calculus of genre0
And finally0
Music-driven geometric and topologic intuition: a case study with the Klein bottle0
Using mathematical morphology to discover repeated patterns in music0
Lifting pitch-class spaces into ambient temperaments0
Correction0
Diatonic minimum spread tuning0
Partitions, their classes, and multicolour evenness0
Abstract representations for musical models: towards a metalanguage for music0
Generalizations of Euler's Tonnetz on triangulated surfaces0
An integer linear programming model for tilings0
Parsimonious sequences of finite sets and their applications to chord progressions and music composition0
An exercise in formalizing jazz leadsheet structures0
In memoriam Tom Johnson (18/11/1939–31/12/2024)0
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