Le 28 juin 2017
de 15h00 à 15h30
Le Patio (université de Strasbourg)
22 rue René Descartes, 67000 Strasbourg
salle 3204
Séance - Lewin's Legacy: Spaces and Transformations
Pré-acte / Acte
Auteur : Scott Brickman
Allen Forte, writing in The Structure of Atonal Music (1973), tabulated the prime forms and vectors of pitch-class sets (PCsets). Additionally, he presented the idea of a set-complex, a set of sets associated by virtue of the inclusion relation. Post-Tonal Theorists such as John Rahn, Robert Morris and Joseph Straus, allude to Forte’s set-complex, but do not treat the concept at length.
The interval vector, developed by Donald Martino (“The Source Set and Its Aggregate Formations,” Journal of Music Theory 5, no. 2, 1961) is a means by which the intervals, and more specifically the dyads contained in a collection, can be identified and tabulated. There exists no such tool for the identification and tabulation of collections other than dyads that are contained in larger collections.
My presentation will be a study of the properties of a set, commonly known as the octatonic scale. The study will examine the properties and relationships among the subsets of the octatonic scale. The goals of the presentation will be twofold: first, to construct a model that summarizes the properties of the subsets of the octatonic scale in a “collection vector”, and second, to theorize about pitch-class set networks that allow the navigation from one octatonic hexachord to another.
