“K and Kh relations in Allan Forte”

  By Antonella Di Giulio   Allan Forte’s K and Kh relations can be described as a comprehensive model of relations between pc sets. Forte emphasizes in his writings also that this model represents a framework for the description of any atonal composition. The “K” represents the set complex, while “Kh” is the subset complex. A K relation compares a nexus set (“T”, set to which all other sets are related) and its complement with a subset “S” and its complement. In a K relation a set or its complement are in the inclusion relation with T or with its … Continue reading “K and Kh relations in Allan Forte”

Motivic transformation Schoenberg’s opus 11 #1

    In the first of the Klavierstücke op. 11 Schoenberg uses the technique of a motive’s continuous transformation: every note, every cell is derived from the basic motivic material in an atonal context. The motive may therefore be found in various forms, horizontally and vertically, within different voices. The same concept of motive here changes , passing from one melodic recognizable moment, thanks to a pattern that is modified while remaining similar, to a combination of intervals, combined thanks to inversion and multiplication of a first set of pitches. The overall structure of this piece is easy to recognize: … Continue reading Motivic transformation Schoenberg’s opus 11 #1