SZodixStudyAcademic Library
ShelvesOpen access
Study · an open academic library·Metadata from OpenAlex (CC0)·Shelves·OpenAlex metadata, de-duplicated
Early Indian Heptatonic Scales and Recent Diatonic Theory
5 references·11 citing·41 second hop
Early Indian Heptatonic Scales and Recent Diatonic Theory (1993)Early Indian Heptatonic Scales and Recent…Music and Musical Thought in Early India (1992)Music and Musical Thought in …Maximally Even Sets (1991)Maximally Even SetsCoordination of Interval Sizes in Seven-Tone Collections (1991)Coordination of Interval Size…Variety and Multiplicity in Diatonic Systems (1985)Variety and Multiplicity in D…Some Combinational Resources of Equal-Tempered Systems (1967)Some Combinational Resources …Axiomatic scale theory (2020)Axiomatic scale theoryStructural Levels in South Indian Music (2015)Structural Levels in South In…Toward the reconciliation of mathematical theories of voice leading (2013)Toward the reconciliation of …Scalar context in musical models (2013)Scalar context in musical mod…Perceptual Aspects of Tuning in a Balinese Gamelan Angklung for North American Students (2013)Perceptual Aspects of Tuning …Well-formedness in two dimensions: a generalization of Carey and Clampitt's theorem (2010)Well-formedness in two dimens…Mathematical and Musical Properties of Pairwise Well-Formed Scales (2009)Mathematical and Musical Prop…Generalized Tonnetz and Well-Formed GTS: A Scale Theory Inspired by the Neo-Riemannians (2009)Generalized Tonnetz and Well-…The legacy of John Clough in mathematical music theory (2007)The legacy of John Clough in …Scale and Mode in the Music of the Early Tamils of South India (2000)Scale and Mode in the Music o…Coherent Tone-Systems: A Study in the Theory of Diatonicism (1996)Coherent Tone-Systems: A Stud…Genesis of a Music (1949)TWELVE-TONE INVARIANTS AS COMPOSITIONAL DETERMINANTS (1960)Set Structure as a Compositional Determinant (1961)Defining Modular Transformations (1999)Hemiola, Maximal Evenness, and Metric Ambiguity in Late Ligeti (2012)Steve Reich’s Signature Rhythm and an Introduction to Rhythmic Qualities (2020)The Group-Theoretic Description of 12-Fold and Microtonal Pitch Systems (1980)Generalized Musical Intervals and Transformations (1988)On Coherence and Sameness, and the Evaluation of Scale Candidacy Claims (2002)The Rise of 6 in the Nineteenth Century (2002)Journal of Music Theoryover the Years (2006)Neo-Riemannian Operations, Parsimonious Trichords, and Their "Tonnetz" Representations (1997)Introduction to Neo-Riemannian Theory: A Survey and a Historical Perspective (1998)Tonal prisms: iterated quantization in chromatic tonality and Ravel's ‘Ondine’ (2013)Dancing with the Scales (2014)Kaleidoscope substitutions and pairwise well-formed modes: major-minor duality transformationally revisited (2018)Contemplating Music: Challenges to Musicology (1989)Music in the Galant Style (2007)North Indian Classical Music and Lerdahl and Jackendoff’s Generative Theory – a Mutual Regard (2017)Reimagine to Revitalise (2021)Tonality as a Colonizing Force in Africa (2023)Cohn Functions (1996)Maximally Smooth Cycles, Hexatonic Systems, and the Analysis of Late-Romantic Triadic Progressions (1996)Self-Similar Pitch Structures, Their Duals, and Rhythmic Analogues (1996)Pairwise Well-Formed Scales and a Bestiary of Animals on the Hexagonal Lattice (2009)Exploring the Syntonic Side of Major-Minor Tonality (2019)The magical number seven, plus or minus two: Some limits on our capacity for processing information. (1956)Convergent evolution in a large cross-cultural database of musical scales (2021)The line of fifths and the co-evolution of tonal pitch-classes (2022)The diachronic development of Debussy’s musical style: a corpus study with Discrete Fourier Transform (2023)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)Modes, Scales, Functional Harmony, and Nonfunctional Harmony in the Compositions of Herbie Hancock (2005)Coherence and sameness in well-formed and pairwise well-formed scales (2007)Aspects of Well-Formed Scales (1989)Scale Networks and Debussy (2004)The distance geometry of music (2008)Musical Structure, Performance and Meaning: The Case of a Stick-Dance from Nepal (2006)Time, Gesture and Attention in a Khyāl Performance (2007)Tellings and Texts (2015)
this work references cited by second hop

References

  • 1991Maximally Even Sets203 cited
  • 1985Variety and Multiplicity in Diatonic Systems166 cited
  • 1992Music and Musical Thought in Early India127 cited
  • 1967Some Combinational Resources of Equal-Tempered Systems36 cited
  • 1991Coordination of Interval Sizes in Seven-Tone Collections33 cited

Cited by

  • 2015Structural Levels in South Indian Music18 cited
  • 1996Coherent Tone-Systems: A Study in the Theory of Diatonicism18 cited
  • 2020Axiomatic scale theory16 cited
  • 2010Well-formedness in two dimensions: a generalization of Carey and Clampitt's theorem15 cited
  • 2009Mathematical and Musical Properties of Pairwise Well-Formed Scales14 cited
  • 2013Perceptual Aspects of Tuning in a Balinese Gamelan Angklung for North American Students11 cited
  • 2013Scalar context in musical models10 cited
  • 2000Scale and Mode in the Music of the Early Tamils of South India8 cited
  • 2007The legacy of John Clough in mathematical music theory7 cited
  • 2009Generalized Tonnetz and Well-Formed GTS: A Scale Theory Inspired by the Neo-Riemannians6 cited
  • 2013

Only edges whose both ends are imported exist here. Widen the year window, or show the whole map. Back to the work

Toward the reconciliation of mathematical theories of voice leading
3 cited