Open AccessVector Representation of Triadic Transformations
Author(s) -
Carlos de Lemos Almada
Publication year - 2018
Publication title -
per musi
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.12
H-Index - 3
eISSN - 2317-6377
pISSN - 1517-7599
DOI - 10.35699/2317-6377.2018.5247
Subject(s) - computer science , representation (politics) , projection (relational algebra) , position (finance) , section (typography) , triad (sociology) , transformation (genetics) , theoretical computer science , transformational leadership , vector space , vector projection , plan (archaeology) , algorithm , algebra over a field , artificial intelligence , mathematics , pure mathematics , psychoanalysis , law , chemistry , operating system , psychology , biochemistry , public relations , political science , finance , politics , economics , gene , history , archaeology
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.