Vector Representation of Triadic Transformations
DOI:
https://doi.org/10.35699/2317-6377.2018.5247Keywords:
Neo-Riemannian theory, Transformational Chromatic System, Parsimonious Voice-Leading, Vector representation, Music AnalysisAbstract
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.
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