Expanded Atonal Voice-Leading Space for Trichords: an auxiliary model for generating pre-compositional material

Abstract

This paper discusses an atonal voice-leading space for trichords as stated by Straus (2005) after Morris (1998), expanded by insertion of a new operation. Examined in detail are the operations and rules for chaining set classes by semitones inside that space; provisions for further approaches including a new method for chaining; suggestions on some pathways to traverse it thoroughly, and a quick reference guide for voice-leading sub-spaces.