Hierarchical multi-scale set-class analysis

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• dc.contributor.author Martorell Domínguez, Agustín
• dc.contributor.author Gómez Gutiérrez, Emilia, 1975-
• dc.date.accessioned 2020-11-16T12:00:23Z
• dc.date.available 2020-11-16T12:00:23Z
• dc.date.issued 2015
• dc.description.abstract This work presents a systematic methodology for set-class surface analysis using temporal multi-scale techniques. The method extracts the set-class content of all the possible temporal segments, addressing the representational problems derived from the massive overlapping of segments. A time versus time-scale representation, named class-scape, provides a global hierarchical overview of the class content in the piece, and it serves as a visual index for interactive inspection. Additional data structures summarize the set-class inclusion relations over time and quantify the class and subclass content in pieces or collections, helping to decide about sets of analytical interest. Case studies include the comparative subclass characterization of diatonicism in Victoria's masses (in Ionian mode) and Bach's preludes and fugues (in major mode), as well as the structural analysis of Webern's Variations for piano op. 27, under different class-equivalences.
• dc.description.sponsorship This work was supported by the EU Seventh Framework Programme FP7/2007-2013 through PHENICX project [grant no. 601166].
• dc.format.mimetype application/pdf
• dc.identifier.citation Martorell A, Gómez E. Hierarchical multi-scale set-class analysis. Journal of mathematics and music. 2015;9(1):95-108. DOI: 10.1080/17459737.2014.906072
• dc.identifier.doi http://dx.doi.org/10.1080/17459737.2014.906072
• dc.identifier.issn 1745-9737
• dc.identifier.uri http://hdl.handle.net/10230/45778
• dc.language.iso eng
• dc.publisher Taylor & Francis
• dc.relation.ispartof Journal of mathematics and music. 2015;9(1):95-108.
• dc.relation.isreferencedby http://agustin-martorell.weebly.com/set-class-analysis.html
• dc.relation.projectID info:eu-repo/grantAgreement/EC/FP7/601166
• dc.rights © This is an Accepted Manuscript of an article published by Taylor & Francis in Journal of mathematics and music on 2015, available online: http://www.tandfonline.com/10.1080/17459737.2014.906072
• dc.rights.accessRights info:eu-repo/semantics/openAccess
• dc.subject.keyword Set class
• dc.subject.keyword Multi-scale
• dc.subject.keyword Systematic analysis
• dc.subject.keyword Hierarchical
• dc.subject.keyword Visualization
• dc.subject.keyword Interaction
• dc.title Hierarchical multi-scale set-class analysis
• dc.type info:eu-repo/semantics/article
• dc.type.version info:eu-repo/semantics/acceptedVersion