Twelve-tone Tonality

Front Cover
University of California Press, Jan 1, 1977 - Music - 174 pages
In this classic work, George Perle argues that the seemingly disparate styles of post-triadic music in fact share common structural elements. These elements collectively imply a new tonality as "natural" and coherent as the major-minor tonality that was the basis of a common musical language in the past. His book describes the foundational assumptions of this post-diatonic tonality and illustrates its compositional functions with numerous musical examples.The second edition of "Twelve-Tone Tonality" is enlarged by eleven new chapters, some of which are "postscripts" to earlier chapters--clarifying, elucidating, and expanding upon concepts discussed in the original edition. Others discuss new developments in the theory and practice of twelve-tone tonality, including voice-leading implications of the system and dissonance treatment.
 

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Contents

Introduction
1
Inversionally Complementary Cycles
5
Symmetrical Chords and Progressions 1 o 4 Dyadic Sums and Differences
16
The Cyclic Set of Interval 7
18
Cognate Sets
20
Verticalization in TwelveTone Music
23
Cyclic Chords and AxisNote Dyads
25
g Difference Tables
29
Derived Sets
69
The Remaining Cyclic Sets
73
Alban Bergs Master Array of the Interval Cycles
76
Sum and Difference Scales
80
The Master Modes
82
77i Master Keys
95
Composing With Sum Tetrachords
107
Modulation Through Tonic Cyclic Chords and Tonic Sum Tetrachords 12 3
120

Composing With 12Tone Modes
31
The Odd and Even Modes
43
Sum Tables
45
Tonic and Resultant Set Forms
47
Sum Tetrachords
51
77 Cyclic Set of Interval 1
55
Larger Implications of Tonic Set Forms
59
The Interval1 and Interval7 Sets Combined
65
Imitative Counterpoint
133
LargeScale Pregression
137
The Three Tonalities
143
Triadic Arrays
152
Conclusion
162
Index to Basic Definitions
173
Index to Compositions
174
Copyright

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About the author (1977)

George Perle is a distinguished composer and Professor Emeritus of Music at the City University of New York. His books include "Serial Composition and Atonality: An Introduction to the Music of Schoenberg, Berg, and Webern" (Sixth Edition, California, 1991); "The Operas of Alban Berg", Volume 1, "Wozzeck" (California, 1980) and Volume 2, "Lulu" (California, 1985); and "The Listening Composer" (California, 1990). He has been a recipient of the Pulitzer Prize and a MacArthur Foundation Fellowship.

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