A Generative Theory of Tonal Music

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MIT Press, 1985 - Music - 368 pages
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Contents

Theoretical Perspective
1
12 The Connection with Linguistics
5
13 The Connection with Artistic Concerns
7
14 The Overall Form of the Theory
8
Introduction to Rhythmic Structure
12
21 Grouping Structure
13
22 Metrical Structure
17
23 The Interaction of Grouping and Meter
25
75 Concluding Remarks
178
Prolongational Reduction The Analytic System
179
82 Preliminaries to Prolongational Trees
183
83 Prolongational Trees
188
84 A Secondary Notation
201
85 A Complete Prolongational Reduction
203
Formalization of Prolongational Reduction
211
92 Prolongational Reduction WellFormedness Rules
213

24 The Relation of Structural Accent to Grouping and Meter
30
Grouping Structure
36
31 Grouping WellFormedness Rules
37
32 Perceptual Motivation for the Preference Rule Formalism
39
33 grouping Preferences Rules
43
34 Grouping Overlaps
55
35 The Performers Influence on Preferred Hearing
63
36 Two More Examples
64
Metrical Structure
68
41 Metrical WellFormedness Rules
69
42 Metrical Preferences Rules
74
43 Further Metrical Preferences Rules
87
44 Variations on the Metrical WellFormedness Rules
96
45 Metrical Irregularities at Hypermeasure Levels
99
51 The Need for Reductions
105
52 Possible Formal Approaches to Reduction
111
53 The Tree Notation for Reductions
112
54 Preliminary Construction of Reductions
117
TimeSpan Reduction The Analytic System
124
62 TimeSpan Trees and Metrical Structure
128
63 TimeSpan Trees and Structural Accents
133
64 Details of Cadential Reduction
138
65 Background Structures and the Location of the Structural Dominant
139
66 A Complete TimeSpan Reduction
142
Formalization of TimeSpan Reduction
146
72 TimeSpan Reduction WellFormedness Rules
152
73 Preferences Rules Within Phrases
159
74 Structural Accents of Groups
167
93 Prolongational Regions
216
94 Prolongational Reduction Preference Rules
220
95 The Interaction Principle
227
96 Normative Prolongational Structure
233
97 Binary Form and Sonata Form
241
98 Reflections on Musical Cognition and Music as an Art
248
Some Analyses
250
102 Motivic Structure and TimeSpan Reductio
253
103 Some TimeSpan and Prolongational Reductions
258
Reduction
273
11 Musical Universals and Related Issues
278
112 Musical Innateness
281
113 Summary of Rhythmic Features
283
114 Motivic Transformations Deep Structures and Musical Archetypes
286
115 Remarks on the Basis of Tonal Systems
290
116 Remarks on Contemporary Music
296
12 Psychological and Linguistic Connections
302
121 Gestalt Theory and Visual Form Perception
303
122 Preference Rules in Linguistic Theory
307
123 A Deep Parallel Between Music and Language
314
124 A Remarks on Brain Localization
330
125 Music Theory as a Cognitive Science
332
Notes
333
Rule Index
345
Bibliography
353
Index
361
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Semantics and Cognition

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