Abstract
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.
Highlights
Resumo: Este artigo apresenta dois vetores destinados à formalização de transformações triádicas, considerando especialmente o Sistema de Transformações Cromáticas proposto por David KOPP (2002)
One of them, which is adopted as the main reference in this study, was introduced by DAVID KOPP (2002): the Chromatic Transformational System
Operations can be defined as functions or algorithms that transform the content of a referential perfect triad into a derived one, in such a manner that at least one common note of both chords is maintained during the process
Summary
Resumo: Este artigo apresenta dois vetores destinados à formalização de transformações triádicas, considerando especialmente o Sistema de Transformações Cromáticas proposto por David KOPP (2002).
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