Vector Representation of Triadic Transformations
Keywords:Neo-Riemannian theory, Transformational Chromatic System, Parsimonious Voice-Leading, Vector representation, Music Analysis
This article introduces two vectors intended to formalize some triadic transformations, considering specially the Chromatic Transformational System by David KOPP (2002). The numeric content of vector K describes concisely the processes associated to a given operation that must be applied for transforming a referential perfect triad onto a derived one. Vector G informs the spatial position of an operation considering its geometric projection on a referential two-dimensional plan (a Tonnetz). A practical application concerning analysis by computational means is presented in the last section of the study.
How to Cite
Except where otherwise noted, contents on this site are licensed under a Creative Commons - Atribuição 4.0 Internacional.