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dc.contributor.author | Nuño Fernández, Luis | es_ES |
dc.date.accessioned | 2024-02-01T19:01:15Z | |
dc.date.available | 2024-02-01T19:01:15Z | |
dc.date.issued | 2021-09-02 | es_ES |
dc.identifier.issn | 1745-9737 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/202300 | |
dc.description.abstract | [EN] In this paper, pitch-class sets are analyzed in terms of their intervallic structures and those related by transposition are called a set type. Then, non-inversionally-symmetrical set classes are split into two set types related by inversion. As a higher version of the interval-class vector, I introduce the trichord-type vector, whose elements are the number of times each trichord type is contained in a set type, as well as a trichord-class vector for set classes. By using the interval-class, trichord-class, and trichord-type vectors, a list of set classes and types is developed, including, apart from the usual information, the intervallic structures and the trichord-type vectors. The inclusion of this last characteristic is the most significant difference with respect to previously published lists of set classes. Finally, a compact periodic table containing all set classes is given, showing their main characteristics and relationships at a glance. | es_ES |
dc.description.sponsorship | I am grateful to the Editor Jason Yust and the anonymous reviewers for their valuable comments on the manuscript, which contributed to improve its quality. | 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 | List of set classes | es_ES |
dc.subject | Interval-class vector | es_ES |
dc.subject | Trichord-class vector | es_ES |
dc.subject | Trichord-type vector | es_ES |
dc.subject | Periodic table | es_ES |
dc.subject.classification | TEORÍA DE LA SEÑAL Y COMUNICACIONES | es_ES |
dc.title | A detailed list and a periodic table of set classes | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1080/17459737.2020.1775902 | 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). A detailed list and a periodic table of set classes. Journal of Mathematics and Music. 15(3):267-287. https://doi.org/10.1080/17459737.2020.1775902 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.1080/17459737.2020.1775902 | es_ES |
dc.description.upvformatpinicio | 267 | es_ES |
dc.description.upvformatpfin | 287 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 15 | es_ES |
dc.description.issue | 3 | es_ES |
dc.relation.pasarela | S\435281 | es_ES |