Vector Representation of Triadic Transformations

Authors

  • Carlos de Lemos Almada Federal University of Rio de Janeiro, Brazil

DOI:

https://doi.org/10.35699/2317-6377.2018.5247

Keywords:

Neo-Riemannian theory, Transformational Chromatic System, Parsimonious Voice-Leading, Vector representation, Music Analysis

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.

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Published

2018-05-02

Issue

No. 38 (2018): General Topics

Section

Articles

License

Licença Creative Commons
Except where otherwise noted, contents on this site are licensed under a  Creative Commons - Atribuição 4.0 Internacional.

How to Cite

“Vector Representation of Triadic Transformations”. 2018. Per Musi, no. 38 (May). https://doi.org/10.35699/2317-6377.2018.5247.