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dc.contributor.authorYust, Jasonen_US
dc.coverage.spatialUniv Nacl Autonoma Mexico, Fac Sci, Mexico, MEXICOen_US
dc.date.accessioned2020-01-09T20:49:56Z
dc.date.available2020-01-09T20:49:56Z
dc.date.issued2017-06-28
dc.identifierhttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000449997700012&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=6e74115fe3da270499c3d65c9b17d654
dc.identifier.citationJason Yust. 2017. "Probing Questions About Keys: Tonal Distributions Through the DFT." MATHEMATICS AND COMPUTATION IN MUSIC, MCM 2017. 6th Biennial International Conference for Mathematics and Computation in Music (MCM). Univ Nacl Autonoma Mexico, Fac Sci, Mexico, MEXICO, 2017-06-26 - 2017-06-29. https://doi.org/10.1007/978-3-319-71827-9_13
dc.identifier.issn0302-9743
dc.identifier.issn1611-3349
dc.identifier.urihttps://hdl.handle.net/2144/39068
dc.description.abstractPitch-class distributions are central to much of the computational and psychological research on musical keys. This paper looks at pitch-class distributions through the DFT on pitch-class sets, drawing upon recent theory that has exploited this technique. Corpus-derived distributions consistently exhibit a prominence of three DFT components, 𝑓5, 𝑓3, and 𝑓2, so that we might simplify tonal relationships by viewing them within two- or three-dimensional phase space utilizing just these components. More generally, this simplification, or filtering, of distributional information may be an essential feature of tonal hearing. The DFTs of probe-tone distributions reveal a subdominant bias imposed by the temporal aspect of the behavioral paradigm (as compared to corpus data). The phases of 𝑓5, 𝑓3, and 𝑓2 also exhibit a special linear dependency in tonal music giving rise to the idea of a tonal index.en_US
dc.format.extent167 - 179 (13)en_US
dc.languageEnglish
dc.publisherSPRINGER INTERNATIONAL PUBLISHING AGen_US
dc.relation.ispartofMATHEMATICS AND COMPUTATION IN MUSIC, MCM 2017
dc.subjectComputer science, interdisciplinary applicationsen_US
dc.subjectMathematics, interdisciplinary applicationsen_US
dc.subjectMusicen_US
dc.subjectComputer scienceen_US
dc.subjectMathematicsen_US
dc.subjectTonalityen_US
dc.subjectKey findingen_US
dc.subjectDFTen_US
dc.subjectPhase spaceen_US
dc.subjectProbe toneen_US
dc.subjectInformation and computing sciencesen_US
dc.subjectArtificial intelligence & image processingen_US
dc.titleProbing questions about keys: tonal distributions through the DFTen_US
dc.typeConference materialsen_US
dc.description.versionAccepted manuscripten_US
dc.identifier.doi10.1007/978-3-319-71827-9_13
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.mycv405368


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