Generalized Musical Intervals and Transformations

Name: Generalized Musical Intervals and Transformations
Price: 39.3 USD
Availability: InStock
ISBN: 9780195317138

ISBN-10: 0195317130

ISBN-13: 9780195317138

Edition: 2007

Authors: David Lewin

List price: $84.00

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David Lewin's Generalized Musical Intervals and Transformations is recognized as the seminal work paving the way for current studies in mathematical and systematic approaches to music analysis. Lewin, one of the 20th century's most prominent figures in music theory, pushes the boundaries of the study of pitch-structure beyond its conception as a static system for classifying and inter-relating chords and sets. Known by most music theorists as "GMIT", the book is by far the most significant contribution to the field of systematic music theory in the last half-century, generating the framework for the "transformational theory" movement. Appearing almost twenty years after GMIT's initial…

Book details

List price: $84.00
Copyright year: 2007
Publisher: Oxford University Press, Incorporated
Publication date: 4/19/2007
Binding: Hardcover
Pages: 280
Size: 9.29" wide x 6.18" long x 1.10" tall
Weight: 1.254



Foreword



Preface



Acknowledgments


Introduction



Mathematical Preliminaries



Generalized Interval Systems



Preliminary Examples and Definition



Generalized Interval Systems



Formal Features



Generalized Interval Systems



A Non-communicative GIS


Some Timbral GIS models



Generalized Set Theory



Interval Functions


Canonical Groups and Canonical Equivalence



Generalized Set Theory



The Interjection Function



Transformation Graphs and Networks



Intervals and Transpositions



Transformation Graphs and Networks



Non-Intervallic Transformations



Transformation Graphs and Networks



Formalities



Transformation Graphs and Networks



Some Further Analyses



Appendix A: Melodic and Harmonic GIS Structure


Some Notes on the History of Tonal Theory



Appendix B: Non-Communicative Octatonic GIS Structures


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Groups


Index