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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 (3): Formalities

Transformation Graphs and Networks (3): Formalities

(p.193) 9 Transformation Graphs and Networks (3): Formalities
Generalized Musical Intervals and Transformations

David Lewin

Oxford University Press

This chapter develops the formalities of transformation networks. The structure of a network allows us to assign a formal “input” function to some things and a formal “output” function to other things; these functions seem of considerable musical interest in some cases. The networks have intrinsic rhythmic properties which can also be studied formally. Network structure can accommodate hierarchic levels in a quasi-Schenkerian setting, as an example shows.

Keywords:   music theory, musical spaces, transformation networks

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