Algorithms of Eduard Ruben Pashinyan 's Supermodal System

Abstract

Having delved deeply into the well-known theory of Eduard Pashinyan's "Supermodal System", the author of the article discovered that within the thirty-six-step mode he created, the phenomenon of hyper-octavity manifests only through the appearance of diminished octaves. These diminished octaves are, in fact, the key to overcoming the natural acoustic overtone octavity. Undoubtedly, this represents a real breakthrough in the field of mode creation, expanding the horizons of potential expressive means - both intonation and those related to counterpoint and harmony. However, relying on the algorithmic features of Pashinyan 's theory, Mikhail Kokzhayev described a way to further expand the possibilities of constructing a hyper-octave mode with the phenomenon of intramode augmented octaves. To achieve this, the author of the article, while preserving all the algorithmic features of Eduard Pashinyan 's thirty-six-step mode, created a forty-eight-step mode by replacing the original Aeolian tetrachord - the foundation of Pashinyan's supermode - with a Phrygian pentachord. As a result, the obtained forty-eight-step supermode contains eleven augmented octaves. In essence, the author of the article based on a new approach to mode creation - on the one hand, preserving the original algorithms of Eduard Ruben Pashinyan 's theory, and on the other, replacing the tetrachordal structure of the sound series with a pentachordal one - demonstrated the possibilities of expanding the "Supermodal System" theory.