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Algorithmic and computational approaches to pure-tone approximations of equal-tempered musical scales
4 references·5 citing·32 second hop
Algorithmic and computational approaches to pure-tone approximations of equal-tempered musical scales (2011)Algorithmic and computational approaches …Self-Similar Pitch Structures, Their Duals, and Rhythmic Analogues (1996)Self-Similar Pitch Structures…Maximally Even Sets (1991)Maximally Even SetsAspects of Well-Formed Scales (1989)Aspects of Well-Formed ScalesTuning and temperament (1951)Tuning and temperamentSymbolic dynamical scales: modes, orbitals, and transversals (2021)Symbolic dynamical scales: mo…An alternative approach to generalized Pythagorean scales. Generation and properties derived in the frequency domain (2020)An alternative approach to ge…Tempered monoids of real numbers, the golden fractal monoid, and the well-tempered harmonic semigroup (2019)Tempered monoids of real numb…On the construction, comparison, and exchangeability of tuning systems (2015)On the construction, comparis…Scalar context in musical models (2013)Scalar context in musical mod…Neo-Riemannian Operations, Parsimonious Trichords, and Their "Tonnetz" Representations (1997)Parsimonious Graphs: A Study in Parsimony, Contextual Transformations, and Modes of Limited Transposition (1998)A geometry of music: harmony and counterpoint in the extended common practice (2011)A space for inflections: following up onJMM’s special issue on mathematical theories of voice leading (2013)Dancing with the Scales (2014)Chord Proximity, Parsimony, and Analysis with Filtered Point-Symmetry (2019)The Group-Theoretic Description of 12-Fold and Microtonal Pitch Systems (1980)Variety and Multiplicity in Diatonic Systems (1985)Generalized Musical Intervals and Transformations (1988)Scales, Sets, and Interval Cycles: A Taxonomy (1999)Music theory and mathematics (2002)The Emancipation of Music From Language: Departure From Mimesis in Eighteenth-Century Aesthetics. (1987)Generalized Voice-Leading Spaces (2008)Partition Entropy as a Measure of Regularity of Music Scales (2024)Fractal geometry of music. (1990)Tuning, Timbre, Spectrum, Scale (1998)Fractals in Music: Introductory Mathematics for Musical Analysis (1999)Perspectives of New Music (1963)On the divisions of the octave in generalized Pythagorean scales and their bidimensional representation (2023)Choosing the representative tones of an abstract Pythagorean scale with regard to just intonation (2025)Thesaurus of Scales and Melodic Patterns (1948)The Structure of Atonal Music (1974)Music: a mathematical offering (2007)Meter and Grouping in African Music: A View from Music Theory (2000)A Platonic Model of Funky Rhythms (2016)The Geometry of Musical Rhythm (2016)Musical intervals and special linear transformations (2007)Modes, the Height-Width Duality, and Handschin’s Tone Character (2011)Sensitive Interval Property for Scales as Words in the Free Group F2 (2011)Mozart's Teaching of Intonation (1977)Tuning: At the Crossroads (1987)A Longitudinal Study of Intonation in an a cappella Singing Quintet (2018)
this work references cited by second hop

References

  • 1991Maximally Even Sets203 cited
  • 1989Aspects of Well-Formed Scales170 cited
  • 1951Tuning and temperament58 cited
  • 1996Self-Similar Pitch Structures, Their Duals, and Rhythmic Analogues57 cited

Cited by

  • 2013Scalar context in musical models10 cited
  • 2019Tempered monoids of real numbers, the golden fractal monoid, and the well-tempered harmonic semigroup8 cited
  • 2015On the construction, comparison, and exchangeability of tuning systems6 cited
  • 2020An alternative approach to generalized Pythagorean scales. Generation and properties derived in the frequency domain5 cited
  • 2021Symbolic dynamical scales: modes, orbitals, and transversals3 cited

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