Generalized Musical Intervals and Transformations

Inbunden, Engelska, 2007

Av David Lewin

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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", thebook 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almost twentyyears after GMIT's initial publication, this Oxford University Press edition features a previously unpublished preface by David Lewin, as well as a foreword by Edward Gollin contextualizing the work's significance for the current field of music theory.

Produktinformation

Utgivningsdatum2007-05-03
Mått152 x 229 x 20 mm
Vikt599 g
FormatInbunden
SpråkEngelska
Antal sidor280
FörlagOUP USA
ISBN9780195317138

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Musikvetenskap inom Kultur

Over his 42-year teaching career, David Lewin (1933-2003) taught composition, with an increasing focus on music theory, at the University of California at Berkeley, the State University of New York at Stony Brook, Yale University, and finally at Harvard University. Among his music-theoretic writings are many articles and books, including Musical Form and Transformation (Yale, 1993), which received an ASCAP Deems Taylor Award, andStudies in Music with Text (posthumous, Oxford 2006). He was the recipient of honorary doctoral degrees from the University of Chicago, the New England Conservatory of Music, and the Marc Bloch University, Strasbourg, France, for hiswork in music theory.

by Ed Gollin: Forewordby David Lewin: PrefaceAcknowledgmentsIntroduction1: Mathematical Preliminaries2: Generalized Interval Systems (1): Preliminary Examples and Definition3: Generalized Interval Systems (2): Formal Features4: Generalized Interval Systems (3): A Non-communicative GIS; Some Timbral GIS models5: Generalized Set Theory (1): Interval Functions; Canonical Groups and Canonical Equivalence6: Generalized Set Theory (2): The Interjection Function7: Transformation Graphs and Networks (1): Intervals and Transpositions8: Transformation Graphs and Networks (2): Non-Intervallic Transformations9: Transformation Graphs and Networks (3): Formalities10: Transformation Graphs and Networks (4): Some Further Analyses11: Appendix A: Melodic and Harmonic GIS Structure; Some Notes on the History of Tonal Theory12: Appendix B: Non-Communicative Octatonic GIS Structures; More on Simply TransitiveGroupsIndex

"Generalized Musical Intervals and Transformations, David Lewin's masterpiece, has prompted a twenty-year efflorescence in the field of mathematical and systematic music theory. GMIT leads readers to the head of a series of distinct paths, suggests by example where each path leads, and leaves readers to their own explorations. Many music theorists now spend their careers working out different aspects of the vision presented here; there is plenty and enough to go around."-Richard L. Cohn, Battell Professor of the Theory of Music, Yale University