2026-04-17T05:14:43Zhttps://recercat.cat/oai/requestoai:recercat.cat:10230/457782025-12-24T08:32:57Zcom_2072_6col_2072_452952
RECERCAT
author
Martorell Domínguez, Agustín
author
Gómez Gutiérrez, Emilia, 1975-
2020-11-16T12:00:23Z2020-11-16T12:00:23Z2015
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.This work was supported by the EU Seventh Framework Programme FP7/2007-2013 through PHENICX project [grant no. 601166].
© 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 info:eu-repo/semantics/openAccess
Set class
Multi-scale
Systematic analysis
Hierarchical
Visualization
Interaction
Hierarchical multi-scale set-class analysis
info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion