When Even Becomes Odd: A Partitional Approach to Inversion

Title:
When Even Becomes Odd: A Partitional Approach to Inversion
Authors:
Alegant, Brian
Abstract:
This paper proposes a refinement of our understanding of pitch-class inversion in atonal and twelve-tone music. Part I of the essay establishes the theoretical foundation. It reviews the index number approach formulated by Milton Babbitt, examines characteristics of even and odd index numbers, and outlines a partitional approach to pitch-class inversion. Part II explores analytical implications of the partitional model and outlines a methodology for the analysis of note-against-note and free inversional settings. The analyses use the set-class inventories for even and odd index numbers to reduce polyphonic surfaces to note-against-note backgrounds and to evaluate the realizations of inversional designs. Part III generalizes the partitional model to enumerate and classify the distinct background structures for two-, three-, and four-voice inversional settings.
Citation:
Alegant, Brian. 1999. "When Even Becomes Odd: A Partitional Approach to Inversion." Journal of Music Theory 43(2): 193-230.
Publisher:
Duke University Press on behalf of the Yale University Department of Music
DATE ISSUED:
1999
Department:
Music Theory
Type:
article
Additional Links:
http://www.jstor.org/stable/3090660
PERMANENT LINK:
http://hdl.handle.net/11282/309722

Full metadata record

DC FieldValue Language
dc.contributor.authorAlegant, Brianen_US
dc.date.accessioned2013-12-23T16:16:20Zen
dc.date.available2013-12-23T16:16:20Zen
dc.date.issued1999en
dc.identifier.citationAlegant, Brian. 1999. "When Even Becomes Odd: A Partitional Approach to Inversion." Journal of Music Theory 43(2): 193-230.en_US
dc.identifier.issn0022-2909en_US
dc.identifier.urihttp://hdl.handle.net/11282/309722en
dc.description.abstractThis paper proposes a refinement of our understanding of pitch-class inversion in atonal and twelve-tone music. Part I of the essay establishes the theoretical foundation. It reviews the index number approach formulated by Milton Babbitt, examines characteristics of even and odd index numbers, and outlines a partitional approach to pitch-class inversion. Part II explores analytical implications of the partitional model and outlines a methodology for the analysis of note-against-note and free inversional settings. The analyses use the set-class inventories for even and odd index numbers to reduce polyphonic surfaces to note-against-note backgrounds and to evaluate the realizations of inversional designs. Part III generalizes the partitional model to enumerate and classify the distinct background structures for two-, three-, and four-voice inversional settings.en_US
dc.language.isoen_USen_US
dc.publisherDuke University Press on behalf of the Yale University Department of Musicen_US
dc.relation.urlhttp://www.jstor.org/stable/3090660en_GB
dc.subject.departmentMusic Theoryen_US
dc.titleWhen Even Becomes Odd: A Partitional Approach to Inversionen_US
dc.typearticleen_US
dc.identifier.journalJournal of Music Theoryen_US
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