Counterpoint in 2k-tone equal temperament

dc.contributor.author	Agustin-Aquino, OA
dc.date.accessioned	2011-01-21T10:35:25Z
dc.date.available	2011-01-21T10:35:25Z
dc.date.issued	2009
dc.identifier.issn	1745-9737
dc.identifier.uri	http://hdlhandlenet/123456789/245
dc.description.abstract	This paper presents a brief overview of Mazzola's counterpoint theory for the 12-tone equal temperament [G. Mazzola, The Topos of Music, Birkhauser-Verlag, Basel, 2002]. A similar theory for a 2k-tone equal temperament is shown to be feasible for k2, a positive integer. More precisely, strong dichotomies in such temperaments are proven to exist for k2 and a counterpoint theorem is obtained. Hichert's algorithm [J. Hichert, Verallgemeinerung des Kontrapunkttheorems fur die Hierarchie aller starken Dichotomien in temperierter Stimmung, Diplomarbeit, TU Ilmenau, 1993] for the calculation of admitted successors is described for this new setup.	en_US
dc.language.iso	en	en_US
dc.title	Counterpoint in 2k-tone equal temperament	en_US
dc.type	Article	en_US
dc.identifier.idprometeo	68
dc.identifier.doi	10.1080/17459730903309807
dc.source.novolpages	3(3):153-164
dc.subject.wos	Mathematics, Interdisciplinary Applications
dc.subject.wos	Music
dc.description.index	WoS: SCI, SSCI o AHCI
dc.subject.keywords	counterpoint
dc.subject.keywords	counterpoint symmetry
dc.subject.keywords	admitted successor
dc.subject.keywords	Hichert's algorithm
dc.subject.keywords	strong dichotomy
dc.relation.journal	Journal of Mathematics and Music