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Modes, the Height-Width Duality, and Handschin’s Tone Character
8 references·13 citing·21 second hop
Modes, the Height-Width Duality, and Handschin’s Tone Character (2011)Modes, the Height-Width Duality, and Hand…The Topos of Music (2002)The Topos of MusicSelf-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 ScalesA Mathematical Model of the Diatonic System (1989)A Mathematical Model of the D…Musical Scales and the Generalized Circle of Fifths (1986)Musical Scales and the Genera…Variety and Multiplicity in Diatonic Systems (1985)Variety and Multiplicity in D…Tonal implications of the diatonic set (1981)Tonal implications of the dia…On the divisions of the octave in generalized Pythagorean scales and their bidimensional representation (2023)On the divisions of the octav…Musical pitch quantization as an eigenvalue problem (2020)Musical pitch quantization as…GeneralizedTonnetzeandZeitnetze, and the topology of music concepts (2020)GeneralizedTonnetzeandZeitnet…An alternative approach to generalized Pythagorean scales. Generation and properties derived in the frequency domain (2020)An alternative approach to ge…Naming and ordering the modes, in light of combinatorics on words (2018)Naming and ordering the modes…Kaleidoscope substitutions and pairwise well-formed modes: major-minor duality transformationally revisited (2018)Kaleidoscope substitutions an…Dual lattice-path transformations and the dynamics of the major and minor exo-modes (2018)Dual lattice-path transformat…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…Triads as Modes within Scales as Modes (2015)Triads as Modes within Scales…Greek Ethnic Modal Names vs. Alia Musica’s Nomenclature (2015)Greek Ethnic Modal Names vs. …Sensitive Interval Property for Scales as Words in the Free Group F2 (2011)Sensitive Interval Property f…Fundamental Passacaglia: Harmonic Functions and the Modes of the Musical Tetractys (2011)Fundamental Passacaglia: Harm…Harmonic Function in Chromatic Music: A Renewed Dualist Theory and an Account of Its Precedents (1994)The Group-Theoretic Description of 12-Fold and Microtonal Pitch Systems (1980)Generalized Musical Intervals and Transformations (1988)Scales, Sets, and Interval Cycles: A Taxonomy (1999)Music theory and mathematics (2002)Notes, scales, and modes in the earlier Middle Ages (2002)The Cambridge History of Western Music Theory (2002)The transmission of ancient music theory into the Middle Ages (2002)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)Spelled Heptachords (2011)Scale Networks and Debussy (2004)The distance geometry of music (2008)David Lewin and maximally even sets (2007)Musical intervals and special linear transformations (2007)Coherence and sameness in well-formed and pairwise well-formed scales (2007)Supplement to the Theory of Augmented-Sixth Chords (1995)Statistics in Musicology (2003)P aradoxes of P itch S pace (2008)S cale T heory , S erial T heory and V oice L eading (2008)
this work references cited by second hop

References

  • 1991Maximally Even Sets203 cited
  • 1989Aspects of Well-Formed Scales170 cited
  • 1985Variety and Multiplicity in Diatonic Systems166 cited
  • 2002The Topos of Music153 cited
  • 1981Tonal implications of the diatonic set114 cited
  • 1986Musical Scales and the Generalized Circle of Fifths80 cited
  • 1989A Mathematical Model of the Diatonic System74 cited
  • 1996Self-Similar Pitch Structures, Their Duals, and Rhythmic Analogues57 cited

Cited by

  • 2015Greek Ethnic Modal Names vs. Alia Musica’s Nomenclature25 cited
  • 2011Sensitive Interval Property for Scales as Words in the Free Group F224 cited
  • 2020GeneralizedTonnetzeandZeitnetze, and the topology of music concepts16 cited
  • 2020Musical pitch quantization as an eigenvalue problem16 cited
  • 2015Triads as Modes within Scales as Modes9 cited
  • 2018Kaleidoscope substitutions and pairwise well-formed modes: major-minor duality transformationally revisited7 cited
  • 2018Naming and ordering the modes, in light of combinatorics on words6 cited
  • 2020An alternative approach to generalized Pythagorean scales. Generation and properties derived in the frequency domain

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5 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‹5 cited
  • 2018Dual lattice-path transformations and the dynamics of the major and minor exo-modes5 cited
  • 2011Fundamental Passacaglia: Harmonic Functions and the Modes of the Musical Tetractys5 cited
  • 2023On the divisions of the octave in generalized Pythagorean scales and their bidimensional representation4 cited