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dc.contributor.authorYust, Jasonen_US
dc.date.accessioned2020-01-22T20:45:44Z
dc.date.available2020-01-22T20:45:44Z
dc.date.issued2013-11-01
dc.identifierhttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000330262400001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=6e74115fe3da270499c3d65c9b17d654
dc.identifier.citationJason Yust. 2013. "A space for inflections: following up on JMM's special issue on mathematical theories of voice leading." Journal Of Mathematics And Music, Volume 7, Issue 3, pp. 175-193. https://doi.org/10.1080/17459737.2013.853845
dc.identifier.issn1745-9737
dc.identifier.issn1745-9745
dc.identifier.urihttps://hdl.handle.net/2144/39143
dc.description.abstractJournal of Mathematics and Music's recent special issue 7(2) reveals substantial common ground between mathematical theories of harmony advanced by Tymoczko, Hook, Plotkin, and Douthett. This paper develops a theory of scalar inflection as a kind of voice-leading distance using quantization in voice-leading geometries, which combines the best features of different approaches represented in the special issue: it is grounded in the concrete sense of voice-leading distance promoted by Tymoczko, invokes scalar contexts in a similar way as filtered point-symmetry, and abstracts the circle of fifths like Hook's signature transformations. The paper expands upon Tymoczko's ‘generalized signature transform’ showing the deep significance of generalized circles of fifths to voice-leading properties of all collections. Analysis of Schubert's Notturno for Piano Trio and ‘Nacht und Träume’ demonstrate the musical significance of inflection as a kind of voice leading, and the value of a robust geometrical understanding of it.en_US
dc.format.extentpp. 175-193en_US
dc.languageEnglish
dc.publisherTAYLOR & FRANCIS LTDen_US
dc.relation.ispartofJOURNAL OF MATHEMATICS AND MUSIC
dc.subjectMathematics, interdisciplinary applicationsen_US
dc.subjectMusicen_US
dc.subjectMathematicsen_US
dc.subjectVoice leadingen_US
dc.subjectQuantizationen_US
dc.subjectGeometryen_US
dc.subjectScale theoryen_US
dc.subjectFiltered point-symmetryen_US
dc.subjectNeo-Riemannian theoryen_US
dc.subjectSignature transformationsen_US
dc.subjectSchubert, Franzen_US
dc.subjectEnharmonicismen_US
dc.subjectChromatic harmonyen_US
dc.subjectApplied mathematicsen_US
dc.subjectPerforming arts and creative writingen_US
dc.titleA space for inflections: following up on JMM's special issue on mathematical theories of voice leadingen_US
dc.typeArticleen_US
dc.description.versionAccepted manuscripten_US
dc.identifier.doi10.1080/17459737.2013.853845
pubs.elements-sourceweb-of-scienceen_US
pubs.notesEmbargo: Not knownen_US
pubs.organisational-groupBoston Universityen_US
pubs.organisational-groupBoston University, College of Fine Artsen_US
pubs.organisational-groupBoston University, College of Fine Arts, School of Musicen_US
pubs.publication-statusPublisheden_US
dc.identifier.mycv36422


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