INMABB   05456
INSTITUTO DE MATEMATICA BAHIA BLANCA
Unidad Ejecutora - UE
artículos
Título:
A Tonnetz Model for Pentachords
Autor/es:
LUIS PIOVAN
Revista:
JOURNAL OF MATHEMATICS AND MUSIC
Editorial:
TAYLOR & FRANCIS LTD
Referencias:
Lugar: Londres; Año: 2013 vol. 7 p. 29 - 53
ISSN:
1745-9737
Resumen:
This article deals with the construction of surfaces that are suitable for representing pentachords or 5-pitch segments that are in the same T/I class. It is a generalization of the well known Öttingen-Riemann torus for triads of neo-Riemannian theories. Two pentachords are near if they differ by a particular set of contextual inversions and the whole contextual group of inversions produces a Tiling (Tessellation) by pentagons on the surfaces. A description of the surfaces as coverings of a particular Tiling is given in the twelve-tone enharmonic scale case.