AUDACIOUS EUPHONY OXSMT C

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Richard Cohn is Battell Professor of Music Theory at Yale University. His work on chromatic harmony has been the topic of a series of summer seminars convened by the late John Clough, and has been developed in about a dozen doctoral dissertations, at Chicago, Indiana, Yale, Harvard, and SUNY-Buffalo. His articles have twice earned the Society for Music Theory's Outstanding Publication Award. Cohn edits the Oxford Studies in Music Theory series. In preparation is a general model of meter with applications for European, African, and African-diasporic music, and a co-edited collection on David Lewin's phenomenological writings.

- Table of Contents
- 1. Mapping the Triadic Universe
- Three Methods for Calculating Triadic Distance
- Triads in Chromatic Space
- Remarks on Syntax and Maps
- 2. Hexatonic Cycles: A First Preliminary Model of Triadic Space
- A Minimal-Work Model of the Triadic Universe
- The Hexatonic Trance
- Contrary Motion and Balance
- Hexatonic Progressions, Tonnetz Representations, and Voice-Leading
- Transformations
- Near Evenness, Minimal Voice Leading, and the Central
- Role of the Augmented Triad
- Remarks on Dualism
- Triadic Structure Generates Pan-Triadic Syntax
- Triads are Homophonous Diamorphs
- 3. Reciprocity
- The Historical Emergence of Augmented Triads
- Consonance/Dissonance Reciprocity
- Two Early-Century Examples: Beethoven and Schubert
- Three Late-Century Examples: Liszt, Rimsky-Korsakov, Fauré
- Reciprocity in Weitzmann's Der Ubermässige Dreiklang
- 4. Weitzmann Regions: A Second Preliminary Model of Triadic Space
- The Structure of a Weitzmann Region
- Weitzmann Transformations and N/R Cycles
- Remarks on the Tonnetz
- Historical Origins of Weitzmann Regions
- The Double-Agent Complex
- Expanded N/R Chains
- Weitzmann Regions without Sequences: Wagner and Strauss
- 5. A Unified Model of Pan-Triadic Space
- How Hexatonic and Weitzmann Regions Interact
- Chromatic Sequences
- Transformational Substitutions
- Voice Leading Zones
- Remarks on Disjunction and Entropy
- 6. Navigating the Triadic Universe: Three Scripts
- Neighborhoods and Pitch-Retention Loops
- Departure Þ Return Scripts
- Continuous Upshifts
- 7. Integrating Dissonant Harmonies into the Model
- Four Eighteenth-century Approaches to Dissonance
- Reduction to a Triadic Subset
- Hexatonic Poles in Parsifal
- The Tristan Genus as Nearly-Even Tetrachord
- Circumnavigating the Tristan-Genus Universe
- Scriabin's Mystic Species and Generalized Weitzmann Regions
- 8. Syntactic Interaction and the Convertible Tonnetz
- Some Previous Proposals
- The Diatonic Tonnetz
- Horizontal Extensions
- Vertical Extensions
- The Convertible Tonnetz
- Two Analytical Vignettes: Wagner and Brahms
- 9. Double Syntax and the Soft Revolution
- A Summary Example from Schubert
- Double Syntax and its Skeptics
- Code Switching and Double Determination
- Cognitive Opacity
- The Soft Revolution
- On Musical Overdetermination