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dc.contributor.author | Nuño Fernández, Luis![]() |
es_ES |
dc.date.accessioned | 2024-02-01T19:01:01Z | |
dc.date.available | 2024-02-01T19:01:01Z | |
dc.date.issued | 2021-05-04 | es_ES |
dc.identifier.issn | 1745-9737 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/202294 | |
dc.description.abstract | [EN] Parsimonious transformations are common patterns in different musical styles and eras. In some cases, they can be represented on the Tonnetz, Cube Dance, Power Towers, or the central region of an orbifold, mainly when they only include the most even trichords and tetrachords. In this paper, two novel graphs, called Cyclopes, are presented, which include more than double the number of chord types in previously published graphs, thus allowing to represent a larger musical repertoire in a practical way. Apart from parsimonious transformations, they are also especially suitable for representing trichords a major third apart, tetrachords a minor third apart, and the cadences V7¿I(m) and IIØ¿V7¿I(m) with major or minor tonic chords. Therefore, they allow to clearly visualize the relationship among the corresponding chords and better understand those patterns, as well as being efficient mnemonic resources, all of which make them useful tools both for music analysis and composition. | es_ES |
dc.description.sponsorship | I thank the Editor Darrell Conklin and the anonymous reviewers for their valuable comments, which contributed to improve the quality of this paper. | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | Taylor & Francis | es_ES |
dc.relation.ispartof | Journal of Mathematics and Music | es_ES |
dc.rights | Reconocimiento - No comercial (by-nc) | es_ES |
dc.subject | Tonnetz | es_ES |
dc.subject | Neo-Riemannian theory | es_ES |
dc.subject | Chord class | es_ES |
dc.subject | Chord type | es_ES |
dc.subject | Voice leading | es_ES |
dc.subject | Parsimonious transformations | es_ES |
dc.subject | Orbifold | es_ES |
dc.subject | Cube Dance | es_ES |
dc.subject | Power Towers | es_ES |
dc.subject | Cyclops | es_ES |
dc.subject.classification | TEORÍA DE LA SEÑAL Y COMUNICACIONES | es_ES |
dc.title | Parsimonious graphs for the most common trichords and tetrachords | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1080/17459737.2021.1923844 | es_ES |
dc.rights.accessRights | Abierto | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Escuela Técnica Superior de Ingenieros de Telecomunicación - Escola Tècnica Superior d'Enginyers de Telecomunicació | es_ES |
dc.description.bibliographicCitation | Nuño Fernández, L. (2021). Parsimonious graphs for the most common trichords and tetrachords. Journal of Mathematics and Music. 15(2):125-139. https://doi.org/10.1080/17459737.2021.1923844 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.1080/17459737.2021.1923844 | es_ES |
dc.description.upvformatpinicio | 125 | es_ES |
dc.description.upvformatpfin | 139 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 15 | es_ES |
dc.description.issue | 2 | es_ES |
dc.relation.pasarela | S\507230 | es_ES |