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 2021-05-01 to 2025-05-01.)

Article	Citations
Algebraic tunings	16
Parsimonious graphs for the most common trichords and tetrachords	8
Topological data analysis of Korean music in Jeongganbo: a cycle structure	6
About some products of Fourier coefficients: proving a conjecture of Jason Yust	4
Triadic patterns across classical and popular music corpora: stylistic conventions, or characteristic idioms?	4
A review of Godfried Toussaint's The Geometry of Musical Rhythm	3
Tonal harmony and the topology of dynamical score networks	3
Exhaustive chord progressions and their use in music composition	3
Mathematical foundations of complex tonality	2
Colleague, collaborator, friend Jack Douthett (1942–2021)	2
A geometric framework for pitch estimation on acoustic musical signals	2
Turning the volvelle: Exploring Jack Douthett's voice leading dynamics	2
In Memoriam	2
The inconstancy of music	2
Towards a mathematical foundation for music theory and composition: a theory of structure	2
Ostinatos in Black-Atlantic traditions: generic-specific similarity and proximity	2
An algebra of chords for a non-degenerate Tonnetz	2
On the divisions of the octave in generalized Pythagorean scales and their bidimensional representation	2
Mathematical model of modulation in traditional Chinese music: theory and computational implementation	2
Overcoming amnesia: on Xenakis's algebraic sources for musical theorization and composition	2
Symbolic dynamical scales: modes, orbitals, and transversals	1
Renaissance canons with asymmetric schemes	1
Genredynamics: a perceptual calculus of genre	1
Two letters by Jack Douthett on uniform triadic transformations	1
Explicit presentations of topological categories of gestures	1

Exploring Musical Spaces: A Synthesis of Mathematical Approaches	1
Jack Douthett’s letters	1
Machine composition of Korean music via topological data analysis and artificial neural network	1
Musical stylistic analysis: a study of intervallic transition graphs via persistent homology	1
Antisphere : exploring non-Euclidean musical spaces	1
Three-string inharmonic networks	1
Letters on Hook's group, 2000	1
Correction	0
The envelopes and amplitude fluctuations of consonant intervals and chords, and their inversions, arising in different tuning systems	0
A computational exploration of melodic patterns in Arab-Andalusian music	0
A different kind of meantone temperament and a novel mapping from the harmonic series to Pythagorean pitch classes	0
Diatonic minimum spread tuning	0
Hadamard transforms of pure-duple rhythms	0
Teponazcuauhtla, or “Forest of Resonances” Mesoamerican Plot of Harmony	0
The melodic beat: exploring asymmetry inpolskaperformance	0
Some observations on autocorrelated patterns within computational meter identification	0
An integer linear programming model for tilings	0
The line of fifths and the co-evolution of tonal pitch-classes	0
A two-dimensional representation of musical chords using the simplicity of frequency and period ratios as coordinates	0
Generalizations of Euler's Tonnetz on triangulated surfaces	0
An exercise in formalizing jazz leadsheet structures	0
Structural properties of multi-octave scales	0
Minimally non-diatonic pc-sets	0
A comparative analysis of melodic rhythm in two corpora of American popular music	0
Minimum description length for selection of models of musical rhythm	0
The scale of the Old Hispanic chant	0
Correction	0
A model for tonal progressions of seventh chords	0
Choosing the representative tones of an abstract Pythagorean scale with regard to just intonation	0
Rhythm, mathematics, and Godfried Toussaint	0
Abstract representations for musical models: towards a metalanguage for music	0
Parsimonious sequences of pitch-class sets: bipartition through inversion and its applications to music composition	0
Letters on P-Relations, 1992–1997	0
Parsimonious sequences of finite sets and their applications to chord progressions and music composition	0
A framework for topological music analysis (TMA)	0
Iterative method of construction for almost smooth rhythms	0
A three-dimensional timbre model via Peano curves	0
Music-driven geometric and topologic intuition: a case study with the Klein bottle	0
Fishing for complements with chord, scale, and rhythm nets	0
Grammar-based compression and its use in symbolic music analysis	0
Quantum-like melody perception	0
Iterative method of construction for smooth rhythms	0
Jack Douthett and mathematical music theory	0
Type and class vectors and matrices in ℤ_n. Application to ℤ₆, ℤ₇, and ℤ₁₂	0
Quantum approach to jam session	0
Composing Cagean silence	0
Exploring annotations for musical pattern discovery gathered with digital annotation tools	0
A geometric model for cadential forces	0
Pattern in music	0
José Manuel López López’s Chart for managing tempi	0

Partitions, their classes, and multicolour evenness	0
Hierarchical set theory	0
Musicological, computational, and conceptual aspects of first-species counterpoint theory	0
Barberpole tempo illusions	0