Neo-Riemannian Operations, Parsimonious Trichords, and Their "Tonnetz" Representations

1997/01/01 by Richard Cohn, Richard M. Cohn · 14 citations
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Advanced Mathematical Theories and Applications #Quantum Mechanics and Applications

paper · doi:10.2307/843761

Cited by

• The Generalized Tonnetz
• Alfred Schnittke’s Triadic Practice
• Effective features to define harmonic distance models
• Mathematical Harmony Analysis
• Using Monoidal Categories in the Transformational Study of Musical Time-Spans and Rhythms
• Using musical relationships between chord labels in automatic chord extraction tasks
• Morphisms of Generalized Interval Systems and PR-Groups
• Commuting Groups and the Topos of Triads
• Towards A Categorical Approach of Transformational Music Theory
• Generalized Inversions and the Construction of Musical Group and Groupoid Actions
• Configurations, Tessellations and Tone Networks
• The Geometry of Musical Chords
• Relativity of musical mood
• Combinatorial and Transformational Aspects of Euler’s Speculum Musicum