基本説明
New in paperback. Hardcover was published in 2007. Known by most as GMiT, the book is by far the most significant contribution to the field of systematic music theory in the last half-century, carving a niche for the "transformational theory" movement. After almost 20 years since GMiT's initial publication, this Oxford University Press edition features a previously-unpublished preface by Davil Lewin, as well as a foreword by Edward Gollin contextualizing the work's significance for the fiels of music theory.
Full Description
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years after GMIT's initial publication, this Oxford University Press edition features a previously unpublished preface by David Lewin, as well as a foreword by Edward Gollin contextualizing the work's significance for the current field of music theory.
Contents
by Ed Gollin: Foreword
by David Lewin: Preface
Acknowledgments
Introduction
1: Mathematical Preliminaries
2: Generalized Interval Systems (1): Preliminary Examples and Definition
3: Generalized Interval Systems (2): Formal Features
4: Generalized Interval Systems (3): A Non-communicative GIS; Some Timbral GIS models
5: Generalized Set Theory (1): Interval Functions; Canonical Groups and Canonical Equivalence
6: Generalized Set Theory (2): The Interjection Function
7: Transformation Graphs and Networks (1): Intervals and Transpositions
8: Transformation Graphs and Networks (2): Non-Intervallic Transformations
9: Transformation Graphs and Networks (3): Formalities
10: Transformation Graphs and Networks (4): Some Further Analyses
11: Appendix A: Melodic and Harmonic GIS Structure; Some Notes on the History of Tonal Theory
12: Appendix B: Non-Communicative Octatonic GIS Structures; More on Simply Transitive
Groups
Index
