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Type and class vectors and matrices in Z(n). Application to Z(6), Z(7), and Z(12)

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Type and class vectors and matrices in Z(n). Application to Z(6), Z(7), and Z(12)

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Nuño Fernández, L. (2023). Type and class vectors and matrices in Z(n). Application to Z(6), Z(7), and Z(12). Journal of Mathematics and Music. 17(2):244-265. https://doi.org/10.1080/17459737.2022.2120214

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Título: Type and class vectors and matrices in Z(n). Application to Z(6), Z(7), and Z(12)
Autor: Nuño Fernández, Luis
Entidad UPV: Universitat Politècnica de València. Escuela Técnica Superior de Ingenieros de Telecomunicación - Escola Tècnica Superior d'Enginyers de Telecomunicació
Fecha difusión:
Resumen:
[EN] In post-tonal theory, set classes are normally elements of Z(12) and are characterized by their interval-class vector. Those being non-inversionally-symmetrical can be split into two set types related by inversion, ...[+]
Palabras clave: Complementary order , Normal order , Interval-class vector , Trichord-type vector , Trichord-class vector , Type vector , Class vector , Type matrix , Class matrix
Derechos de uso: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Fuente:
Journal of Mathematics and Music. (issn: 1745-9737 )
DOI: 10.1080/17459737.2022.2120214
Editorial:
Taylor & Francis
Versión del editor: https://doi.org/10.1080/17459737.2022.2120214
Coste APC: 3304
Agradecimientos:
The author thanks the editor Darrell Conklin and the two anonymous reviewers for their valuable comments and suggestions, which contributed to improve the quality of this paper. He also thanks the ITACA Institute for ...[+]
Tipo: Artículo

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