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Some Combinational Resources of Equal-Tempered Systems
6 references·13 citing·37 second hop
Some Combinational Resources of Equal-Tempered Systems (1967)Some Combinational Resources of Equal-Tem…A Theory of Set-Complexes for Music (1964)A Theory of Set-Complexes for…The Long Pattern Hypothesis in Harmony and Hearing (1961)The Long Pattern Hypothesis i…Set Structure as a Compositional Determinant (1961)Set Structure as a Compositio…TWELVE-TONE INVARIANTS AS COMPOSITIONAL DETERMINANTS (1960)TWELVE-TONE INVARIANTS AS COM…Genesis of a Music (1949)Genesis of a MusicA Theory of Evolving Tonality (1943)A Theory of Evolving TonalityXenakis’ Sieve Theory (2022)Xenakis’ Sieve TheorySteve Reich’s Signature Rhythm and an Introduction to Rhythmic Qualities (2020)Steve Reich’s Signature Rhyth…Handschins ›Toncharakter‹. Plädoyer für einen neuen Anlauf, ausgehend von neueren musiktheoretischen und kognitionspsychologischen Untersuchungen zu den tonalen ›Qualia‹ (2016)Handschins ›Toncharakter‹. Pl…Die Vernunft in der Tradition: Neue mathematische Untersuchungen zu den alten Begriffen der Diatonizität (2016)Die Vernunft in der Tradition…Review of “Tone Rows and Tropes” by Harald Fripertinger and Peter Lackner (2015)Review of “Tone Rows and Trop…Hemiola, Maximal Evenness, and Metric Ambiguity in Late Ligeti (2012)Hemiola, Maximal Evenness, an…Mathematics and the Twelve-Tone System: Past, Present, and Future (2009)Mathematics and the Twelve-To…Construction and interpretation of equal-tempered scales using frequency ratios, maximally even sets, and P-cycles (2000)Construction and interpretati…Defining Modular Transformations (1999)Defining Modular Transformati…Early Indian Heptatonic Scales and Recent Diatonic Theory (1993)Early Indian Heptatonic Scale…A systematic evaluation of equal temperaments through N=612 (1985)A systematic evaluation of eq…Use of the Exclusion Relation to Profile Pitch-Class Sets (1983)Use of the Exclusion Relation…A Structuralist Approach to the Diatonic Scale (1975)A Structuralist Approach to t…Aspects of Well-Formed Scales (1989)African Polyphony and Polyrhythm (1991)Maximally Even Sets (1991)Scalar context in musical models (2013)The Farey Sequence as a Model for Musical Rhythm and Meter (2018)Re: Intervallic Relations between Two Collections of Notes (1959)The Source Set and Its Aggregate Formations (1961)Serial Composition and Atonality (1962)On Allen Forte's Theory of Chords (1974)The Structure of All-Interval Series (1974)Special Collections (2016)Problems of Pitch Organization in Stravinsky (1963)Variety and Multiplicity in Diatonic Systems (1985)Transformational Aspects of Arvo Pärt's Tintinnabuli Music (2011)Aligned Cycles in T homas A dès's P iano Q uintet (2013)Transforming African Musical Cycles (2017)Music and Musical Thought in Early India (1992)Coherent Tone-Systems: A Study in the Theory of Diatonicism (1996)Structural Levels in South Indian Music (2015)Axiomatic scale theory (2020)The Structure of Atonal Music (1973)Generalized Musical Intervals and Transformations (1988)Representing African Music: Postcolonial Notes, Queries, Positions (2004)Periodicity-Based Descriptions of Rhythms and Steve Reich's Rhythmic Style (2021)Tuning: At the Crossroads (1987)Music theory and mathematics (2002)Evolution of tonal organization in music mirrors symbolic representation of perceptual reality. Part-1: Prehistoric (2015)Art Worlds and Social Types (1976)Coordination and Convention: The Organization of the Concert World (1987)Performance Practice in the Music of Steve Reich (2016)"Ist Alles Eins": Schoenberg and Symmetry (2004)Consonance and prevalence of sonorities in Western polyphony: Roughness, harmonicity, familiarity, evenness, diatonicity (2018)Music Theory and 'Good Comparison': A Viennese Perspective (1989)Banjo Transformations and Bluegrass Rhythm (2009)Interval Recognition: Identification of Harmonic and Melodic Intervals (1975)A model for pattern perception with musical applications part II: The information content of pitch structures (1977)On the Twelve Basic Intervals in South Indian Classical Music (2003)
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References

  • 1960TWELVE-TONE INVARIANTS AS COMPOSITIONAL DETERMINANTS115 cited
  • 1961Set Structure as a Compositional Determinant87 cited
  • 1949Genesis of a Music82 cited
  • 1964A Theory of Set-Complexes for Music61 cited
  • 1961The Long Pattern Hypothesis in Harmony and Hearing57 cited
  • 1943A Theory of Evolving Tonality54 cited

Cited by

  • 2020Steve Reich’s Signature Rhythm and an Introduction to Rhythmic Qualities26 cited
  • 2012Hemiola, Maximal Evenness, and Metric Ambiguity in Late Ligeti25 cited
  • 1993Early Indian Heptatonic Scales and Recent Diatonic Theory22 cited
  • 1999Defining Modular Transformations20 cited
  • 2000Construction and interpretation of equal-tempered scales using frequency ratios, maximally even sets, and P-cycles14 cited
  • 2009Mathematics and the Twelve-Tone System: Past, Present, and Future11 cited
  • 1975A Structuralist Approach to the Diatonic Scale11 cited
  • 2016Die Vernunft in der Tradition: Neue mathematische Untersuchungen zu den alten Begriffen der Diatonizität5 cited
  • 2016Handschins ›Toncharakter‹. Plädoyer für einen neuen Anlauf, ausgehend von neueren musiktheoretischen und kognitionspsychologischen Untersuchungen zu den tonalen ›Qualia‹

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5 cited
  • 1983Use of the Exclusion Relation to Profile Pitch-Class Sets5 cited
  • 1985A systematic evaluation of equal temperaments through N=6125 cited
  • 2015Review of “Tone Rows and Tropes” by Harald Fripertinger and Peter Lackner4 cited
  • 2022Xenakis’ Sieve Theory3 cited