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Pseudo-diatonic Scales
12 references·0 citing·21 second hop
Pseudo-diatonic Scales (2009)Pseudo-diatonic ScalesGeneralized diatonic scales (2008)Generalized diatonic scalesMusical intervals and special linear transformations (2007)Musical intervals and special…Coherence and sameness in well-formed and pairwise well-formed scales (2007)Coherence and sameness in wel…Mathematical theory of music (2006)Mathematical theory of musicPATHS ON STERN-BROCOT TREE AND WINDING NUMBERS OF MODES (2005)PATHS ON STERN-BROCOT TREE AN…Balzano and Zweifel: Another Look at Generalized Diatonic Scales (2000)Balzano and Zweifel: Another …La loi de la pansonorité (1996)La loi de la pansonoritéAspects of Well-Formed Scales (1989)Aspects of Well-Formed ScalesA Mathematical Model of the Diatonic System (1989)A Mathematical Model of the D…Generalized Musical Intervals and Transformations (1988)Generalized Musical Intervals…Variety and Multiplicity in Diatonic Systems (1985)Variety and Multiplicity in D…Aspects of Diatonic Sets (1979)Aspects of Diatonic SetsMaximally Even Sets (1991)Tuning, Timbre, Spectrum, Scale (1998)Axiomatic scale theory (2020)Musical pitch quantization as an eigenvalue problem (2020)The Group-Theoretic Description of 12-Fold and Microtonal Pitch Systems (1980)Generalized Voice-Leading Spaces (2008)Action and Agency Revisited (2013)Tonic Arpeggiation and Successive Equal Third Relations as Elements of Tonal Evolution in the Music of Franz Liszt (1986)Music theory and mathematics (2002)A Theory of Harmony and Voice Leading for the Music of Olivier Messiaen (2005)Self-Similar Pitch Structures, Their Duals, and Rhythmic Analogues (1996)Scales, Sets, and Interval Cycles: A Taxonomy (1999)Spelled Heptachords (2011)Scale Networks and Debussy (2004)The distance geometry of music (2008)Mathematics and group theory in music (2014)An alternative approach to generalized Pythagorean scales. Generation and properties derived in the frequency domain (2020)On the divisions of the octave in generalized Pythagorean scales and their bidimensional representation (2023)Why Are There Twenty-Nine Tetrachords? A Tutorial on Combinatorics and Enumeration in Music Theory (2007)Special Issue: Tiling Problems in Music Guest Editors’ Foreword (2009)Quantum GestART: Identifying and Applying Correlations between Mathematics, Art, and Perceptual Organization (2020)
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References

  • 1988Generalized Musical Intervals and Transformations487 cited
  • 1989Aspects of Well-Formed Scales170 cited
  • 1985Variety and Multiplicity in Diatonic Systems166 cited
  • 1989A Mathematical Model of the Diatonic System74 cited
  • 1979Aspects of Diatonic Sets51 cited
  • 2007Musical intervals and special linear transformations29 cited
  • 2007Coherence and sameness in well-formed and pairwise well-formed scales24 cited
  • 2006Mathematical theory of music23 cited
  • 1996La loi de la pansonorité21 cited
  • 2008Generalized diatonic scales14 cited
  • 2000Balzano and Zweifel: Another Look at Generalized Diatonic Scales7 cited
  • 2005PATHS ON STERN-BROCOT TREE AND WINDING NUMBERS OF MODES6 cited

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