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Sets, Invariance and Partitions
1 references·12 citing·30 second hop
Sets, Invariance and Partitions (1978)Sets, Invariance and PartitionsThe Source Set and Its Aggregate Formations (1961)The Source Set and Its Aggreg…Review of “Tone Rows and Tropes” by Harald Fripertinger and Peter Lackner (2015)Review of “Tone Rows and Trop…A Hypercube-Graph Model for n-Tone Rows and Relations (2013)A Hypercube-Graph Model for n…Mathematics and the Twelve-Tone System: Past, Present, and Future (2009)Mathematics and the Twelve-To…Serial Intervention in Nono’sIl canto sospeso (2006)Serial Intervention in Nono’s…Composite Interval Cycle Sets, Their Relations, and Applications (2002)Composite Interval Cycle Sets…Partition Lattices in Twelve-Tone Music: An Introduction (1999)Partition Lattices in Twelve-…"Bemsha Swing": The Transformation of a Bebop Classic to Free Jazz (1997)"Bemsha Swing": The Transform…Webern, Tradition, and "Composing with Twelve Tones..." (1993)Webern, Tradition, and "Compo…The State of Research in Twelve-Tone and Atonal Theory (1989)The State of Research in Twel…'Tonal' Forms in Arnold Schoenberg's Twelve-Tone Music (1987)'Tonal' Forms in Arnold Schoe…Derivation and Polyphony (1984)Derivation and PolyphonyCombinatoriality without the Aggregate (1982)Combinatoriality without the …Perspectives of New Music (1963)The Structure of Atonal Music (1973)Generalized Musical Intervals and Transformations (1988)Princeton Theory's Problematics (2013)The Role of Orchestration in Shaping Musical Form (2022)Pitch-Class Transformation in Free Jazz (1990)Life Outside the Canon? A Walk on the Wild Side (2000)Storytelling in Jazz Work as Retrospective Collaboration (2017)The Complex Dynamics of Improvisation (2018)Composition With Pitch-Classes (1987)The Problem of Prolongation in Post-Tonal Music (1987)Neo-Riemannian Operations, Parsimonious Trichords, and Their "Tonnetz" Representations (1997)Set Structure as a Compositional Determinant (1961)The Structure of Atonal Music (1974)Cross-Partitions as Harmony and Voice Leading in Twelve-Tone Music (2001)Schoenberg's “SINGLE SECOND OF MAXIMUM SPIRITUAL Excitement”: COMPRESSION AND EXPANSION INERWARTUNG, Op. 17 (2003)Klumpenhouwer Networks and Some Isographies That Involve Them (1990)WHEN EVEN BECOMES ODD: A PARTITIONAL APPROACH TO INVERSION (1999)Meter as Rhythm (2020)TWELVE-TONE INVARIANTS AS COMPOSITIONAL DETERMINANTS (1960)Some Combinational Properties of Pitch Structures (1965)Some Implications of the Pitch Class/Order Number Isomorphism Inherent in the Twelve-Tone System: Part One (1988)The Perception of Rhythm in Non-Tonal Music: Rhythmic Contours in the Music of Edgard Varèse (1991)Segmentation and Process in Post-Tonal Music (1981)Variety and Multiplicity in Diatonic Systems (1985)Simetria intervalar e rede de coleções: análise estrutural dos Choros nº 4 e Choros nº 7 de Heitor Villa-Lobos (2014)A Theory of Set-Complexes for Music (1964)Music theory and mathematics (2002)A Revisionist History of Twelve-Tone Serialism in American Music (2008)Having the Last Word: Schoenberg and the Ultimate Cadenza (2012)
this work references cited by second hop

References

  • 1961The Source Set and Its Aggregate Formations74 cited

Cited by

  • 1993Webern, Tradition, and "Composing with Twelve Tones..."28 cited
  • 1987'Tonal' Forms in Arnold Schoenberg's Twelve-Tone Music28 cited
  • 1984Derivation and Polyphony15 cited
  • 1982Combinatoriality without the Aggregate13 cited
  • 2009Mathematics and the Twelve-Tone System: Past, Present, and Future11 cited
  • 1997"Bemsha Swing": The Transformation of a Bebop Classic to Free Jazz11 cited
  • 1989The State of Research in Twelve-Tone and Atonal Theory10 cited
  • 1999Partition Lattices in Twelve-Tone Music: An Introduction7 cited
  • 2006Serial Intervention in Nono’sIl canto sospeso6 cited
  • 2015Review of “Tone Rows and Tropes” by Harald Fripertinger and Peter Lackner4 cited
  • 2002Composite Interval Cycle Sets, Their Relations, and Applications3 cited
  • 2013A Hypercube-Graph Model for n-Tone Rows and Relations3 cited

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