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Mathematics and group theory in music
16 references·0 citing·29 second hop
Mathematics and group theory in music (2014)Mathematics and group theory in musicThe Presocratic Philosophers (2018)The Presocratic PhilosophersConstructing and Formalizing Tiling Rhythmic Canons: A Historical Survey of a "Mathemusical" Problem (2011)Constructing and Formalizing …Generalized diatonic scales (2008)Generalized diatonic scalesMusic and mathematics: from Pythagoras to fractals (2004)Music and mathematics: from P…The topos of music: geometric logic of concepts, theory, and performance (2003)The topos of music: geometric…The Mathematical Theory of Tone Systems (2003)The Mathematical Theory of To…Mathematics and music theory: From pythagoras to rameau (2002)Mathematics and music theory:…Generalized Musical Intervals and Transformations (1988)Generalized Musical Intervals…Enumeration in Music Theory (1985)Enumeration in Music TheoryThe Structure of Atonal Music (1973)The Structure of Atonal MusicMore on the Superparticular Ratios in Music (1972)More on the Superparticular R…Set Structure as a Compositional Determinant (1961)Set Structure as a Compositio…TWELVE-TONE INVARIANTS AS COMPOSITIONAL DETERMINANTS (1960)TWELVE-TONE INVARIANTS AS COM…Mathematics and the Arts (1959)Mathematics and the ArtsCorrespondence of Isaac Newton (1947)Correspondence of Isaac NewtonTechnique de mon langage musical (1944)Technique de mon langage musi…Against ‘Normal Science’ (1970)Experimental Versus Speculative Natural Philosophy (2005)Newton as Philosopher (2008)The learning of music as a means to improve mathematical skills (2007)‘MusiMath’ and ‘Academic Music’ – Two music‐based intervention programs for fractions learning in fourth grade students (2019)“MusiMath” - a music-based intervention program for learning patterns and symmetry (2020)Aspects of Well-Formed Scales (1989)Generalized Voice-Leading Spaces (2008)Action and Agency Revisited (2013)How Rare Is Symmetry in Musical 12-Tone Rows? (2003)Why Are There Twenty-Nine Tetrachords? A Tutorial on Combinatorics and Enumeration in Music Theory (2007)Tone rows and tropes (2015)Some Combinational Resources of Equal-Tempered Systems (1967)Music theory and mathematics (2002)Consonance and prevalence of sonorities in Western polyphony: Roughness, harmonicity, familiarity, evenness, diatonicity (2018)Liszt's Experimental Idiom and Music of the Early Twentieth Century (1987)Atonal prolongational structure (1989)Uniformity, Balance, and Smoothness in Atonal Voice Leading (2003)Music Theory and 'Good Comparison': A Viennese Perspective (1989)Banjo Transformations and Bluegrass Rhythm (2009)The Consequences of Literacy (1963)Reuniting perception and conception (1998)Virtue Ethics and Consequentialism in Early Chinese Philosophy (2007)Pitch-Class Set Multiplication in Theory and Practice (1998)Scales, Sets, and Interval Cycles: A Taxonomy (1999)The Spectral Piano: From Liszt, Scriabin, and Debussy to the Digital Age (2014)Diagrams, gestures and formulae in music (2007)Musical intervals and special linear transformations (2007)S cale T heory , S erial T heory and V oice L eading (2008)
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References

  • 2018The Presocratic Philosophers601 cited
  • 1973The Structure of Atonal Music501 cited
  • 1988Generalized Musical Intervals and Transformations487 cited
  • 1947Correspondence of Isaac Newton243 cited
  • 2003The topos of music: geometric logic of concepts, theory, and performance152 cited
  • 1960TWELVE-TONE INVARIANTS AS COMPOSITIONAL DETERMINANTS115 cited
  • 2004Music and mathematics: from Pythagoras to fractals106 cited
  • 1944Technique de mon langage musical101 cited
  • 1961Set Structure as a Compositional Determinant87 cited
  • 1985Enumeration in Music Theory35 cited
  • 2003The Mathematical Theory of Tone Systems26 cited
  • 1959Mathematics and the Arts25 cited
  • 2002Mathematics and music theory: From pythagoras to rameau22 cited
  • 2008Generalized diatonic scales14 cited
  • 2011Constructing and Formalizing Tiling Rhythmic Canons: A Historical Survey of a "Mathemusical" Problem9 cited
  • 1972More on the Superparticular Ratios in Music8 cited

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