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Generalized Musical Intervals and Transformations$
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David Lewin

Print publication date: 2007

Print ISBN-13: 9780195317138

Published to Oxford Scholarship Online: January 2010

DOI: 10.1093/acprof:oso/9780195317138.001.0001

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Transformation Graphs and Networks (2): Non-Intervallic Transformations

Transformation Graphs and Networks (2): Non-Intervallic Transformations

Chapter:
(p.175) 8 Transformation Graphs and Networks (2): Non-Intervallic Transformations
Source:
Generalized Musical Intervals and Transformations
Author(s):

David Lewin

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780195317138.003.0008

This chapter studies networks involving transformations of Klangs in the sense of Riemann, networks involving serial transformations of various sorts, and networks involving inversional transformations. The Beethoven example from Chapter 7 is reconsidered, and there are further examples from Wagner, Webern, and Bach.

Keywords:   music theory, Klangs, musical spaces, intervals, Beethoven, Wagner, Webern, Bach, transformation networks

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