Audacious euphony : chromaticism and the triad's second nature / Richard Cohn.

Format:

Book

Author/Creator:

Cohn, Richard Lawrence, 1955-

Series:

Oxford studies in music theory

Language:

English

Subjects (All):

Harmony.

Triads (Music).

Physical Description:

xvii, 237 pages : illustrations ; 25 cm.

Place of Publication:

New York : Oxford University Press, [2012]

Contents:

1 Mapping the Triadic Universe 1

Three Ways to Calculate Triadic Distance 1

Triads in Chromatic Space 8

Remarks on Syntax and Maps 13

2 Hexatonic Cycles 17

A Minimal-Work Model of the Triadic Universe 17

The Hexatonic Trance 20

Contrary Motion and Balance 24

Hexatonic Progressions, Tonnetz Representations, and Triadic Transformations 25

Near Evenness, Minimal Voice Leading, and the Central Role of Augmented Triads 33

Remarks on Dualism 37

Triadic Structure Generates Pan-Triadic Syntax 39

Triads Are Homophonous Diamorphs 40

3 Reciprocity 43

The Historical Emergence of Augmented Triads 43

Consonance/Dissonance Reciprocity 46

Two Early-Century Examples: Beethoven and Schubert 48

Three Late-Century Examples: Liszt, Rimsky-Korsakov, Fauré 49

Reciprocity in Weitzmann's Der Ubermässige Dreiklang 56

4 Weitzmann Regions 59

The Structure of a Weitzmann Region 59

Weitzmann Transformations and N/R Cycles 61

Remarks on the Tonnetz 65

Historical Origins of Weitzmann Regions 67

The Double-Agent Complex 72

Expanded N/R Chains 76

Weitzmann Regions without Sequences: Wagner and Strauss 78

5 A Unified Model of Triadic Voice-Leading Space 83

How Hexatonic and Weitzmann Regions Interact 83

Chromatic Sequences 89

Transformational Substitutions 95

Voice-Leading Zones 102

Remarks on Disjunction and Entropy 106

6 Navigating the Triadic Universe: Three Compositional Scripts 111

Neighborhoods and Pitch Retention Loops 113

Departure → Return Scripts 121

Continuous Upshifts 131

7 Dissonance 139

Four Eighteenth-Century Approaches to Dissonance 139

Reduction to a Triadic Subset 142

Hexatonic Poles in Parsifal 145

Vie Tristan Genus as Nearly Even Tetrachord 148

Circumnavigating the Tristan-Genus Universe 159

Scriabin's Mystic Species and Generalized Weitzmann Regions 166

8 Syntactic Interaction and the Convertible Tonnetz 169

Some Previous Proposals 169

The Diatonic Tonnetz 175

Horizontal Extensions 179

Vertical Extensions 184

The Convertible Tonnetz 186

Two Analytical Vignettes: Wagner and Brahms 189

9 Double Syntax and the Soft Revolution 195

A Summary Example from Schubert 195

Double Syntax and Its Skeptics 199

Code Switching and Double Determination 201

Cognitive Opacity 203

The Soft Revolution 205

On Musical Overdetermination 208.

Notes:

Includes bibliographical references and index.

ISBN:

9780199772698

019977269X

9780199832828

019983282X

OCLC:

704243841