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Zusatztext While David Lewin's thought had been animated for decades by some of these books' ideas---the complex significance of interval, the audibility of pitch-class inversional indices, the definition of directed motion more by context than convention---it was their concentrated presentation here that enabled many readers to assimilate them as a 'theory.' The result was a shift in the discipline's conception of its methods, even its goals, to the point where imitation of the books (of their imitable aspects) could become a career path. In a renewed encounter with the originals, we are confronted once more by Lewin's intellectual probity, his intense concern with every construction's relation to hearing (which need not mean anything so simple as that every construction is heard), his fastidious eschewal of hype. With these taken as exemplary, the field would change again. Informationen zum Autor 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, and Studies 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 his work in music theory. Klappentext Generalized Musical Intervals and Transformations 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. Zusammenfassung Generalized Musical Intervals and Transformations 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. Inhaltsverzeichnis Foreword by Edward Gollin 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-Commutative GIS; Some Timbral GIS Models 5.: Generalized Set Theory (1): Interval Functions; Canonical Groups and Canonical Equivalence; Embedding Functions 6.: Generalized Set Theory (2): The Injection 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 Appendix A: Melodic and Harmonic GIS Structures; Some Notes on the History of Tonal Theory Appendix B: Non-Commutative Octatonic GIS Structures; More on Simply Transitive Groups Index ...
