OOIR: Observatory of International Research

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 2022-01-01 to 2026-01-01.)

Article	Citations
Algebraic tunings	8
About some products of Fourier coefficients: proving a conjecture of Jason Yust	8
Exhaustive chord progressions and their use in music composition	5
Topological data analysis of Korean music in Jeongganbo: a cycle structure	5
Mathematical foundations of complex tonality	4
An algebra of chords for a non-degenerate Tonnetz	4
Generalized Carlos scales	4
In Memoriam	4
A review of Godfried Toussaint's The Geometry of Musical Rhythm	4
Colleague, collaborator, friend Jack Douthett (1942–2021)	3
Persistent homology of music network with three different distances	3
Mathematical model of modulation in traditional Chinese music: theory and computational implementation	2
Towards a mathematical foundation for music theory and composition: a theory of structure	2
Overcoming amnesia: on Xenakis's algebraic sources for musical theorization and composition	2
The inconstancy of music	2
On the divisions of the octave in generalized Pythagorean scales and their bidimensional representation	2
Turning the volvelle: Exploring Jack Douthett's voice leading dynamics	2
Self-similar melodies and Tom Johnson's relationship with maths	1
Musical stylistic analysis: a study of intervallic transition graphs via persistent homology	1
And finally	1
Three-string inharmonic networks	1
Ostinatos in Black-Atlantic traditions: generic-specific similarity and proximity	1
Letters on Hook's group, 2000	1
Renaissance canons with asymmetric schemes	1
Exploring Musical Spaces: A Synthesis of Mathematical Approaches	1

Two letters by Jack Douthett on uniform triadic transformations	1
Explicit presentations of topological categories of gestures	1
Machine composition of Korean music via topological data analysis and artificial neural network	1
Antisphere : exploring non-Euclidean musical spaces	1
After Tom	0
Abstract representations for musical models: towards a metalanguage for music	0
Minimum description length for selection of models of musical rhythm	0
An integer linear programming model for tilings	0
Quantum-like melody perception	0
Hierarchical set theory	0
Fishing for complements with chord, scale, and rhythm nets	0
A three-dimensional timbre model via Peano curves	0
Generating non-periodic pitch sequences inspired by the tiling process developed by Tom Johnson	0
Jack Douthett’s letters	0
Iterative method of construction for almost smooth rhythms	0
Teponazcuauhtla, or “Forest of Resonances” Mesoamerican Plot of Harmony	0
A different kind of meantone temperament and a novel mapping from the harmonic series to Pythagorean pitch classes	0
Jack Douthett and mathematical music theory	0
Lifting pitch-class spaces into ambient temperaments	0
Rhythm, mathematics, and Godfried Toussaint	0
Choosing the representative tones of an abstract Pythagorean scale with regard to just intonation	0
Parsimonious sequences of pitch-class sets: bipartition through inversion and its applications to music composition	0
Twelve years later and the (12, 4, 3) block design	0
Generalizations of Euler's Tonnetz on triangulated surfaces	0
Letters on P-Relations, 1992–1997	0
Structural properties of multi-octave scales	0
An exercise in formalizing jazz leadsheet structures	0
From Fourier phase to musical realization: paths between homometric pitch-class distributions	0
Correction	0
Genredynamics: a perceptual calculus of genre	0
Music-driven geometric and topologic intuition: a case study with the Klein bottle	0
Using mathematical morphology to discover repeated patterns in music	0
The art of asking (the right) musical questions to mathematicians: Tom Johnson's contribution to the MaMuX seminar	0
Diatonic minimum spread tuning	0
Hadamard transforms of pure-duple rhythms	0
The line of fifths and the co-evolution of tonal pitch-classes	0
Composing Cagean silence	0
Partitions, their classes, and multicolour evenness	0
A framework for topological music analysis (TMA)	0
Musicological, computational, and conceptual aspects of first-species counterpoint theory	0
A geometric model for cadential forces	0
Between two realms: a study of the superhexatonic scales	0
The scale of the Old Hispanic chant	0
A comparative analysis of melodic rhythm in two corpora of American popular music	0
The envelopes and amplitude fluctuations of consonant intervals and chords, and their inversions, arising in different tuning systems	0
Parsimonious sequences of finite sets and their applications to chord progressions and music composition	0
Dissonance, sound spectrum and musical scale for ancient idiophones and aerophones	0
Type and class vectors and matrices in ℤ_n. Application to ℤ₆, ℤ₇, and ℤ₁₂	0
Correction	0
Quantum approach to jam session	0

Tom Johnson, logic, and mathematics