A Computer Application to Explore 53-Tone Equal Temperament Harmonies Through Modal Interchange

David Dalmazzo; Ken Déguernel; Bob Sturm

A Computer Application to Explore 53-Tone Equal Temperament Harmonies Through Modal Interchange
Image credit: David Dalmazzo; Ken Déguernel; Bob Sturm

Abstract:

We present a novel computer application for real-time exploration of microtonal harmonies through intuitive visualization and integrated MIDI controllers, bridging theoretical concepts and practical musical applications. We extend modern harmonic principles from 12-tone equal temperament (12-TET), incorporating interval distinctions from 31-TET (subminor, neutral, supermajor), and further expanding into detailed harmonic possibilities of 53-tone equal temperament (53-TET). Our application leverages modal interchange and parallel chord substitutions, offering intuitive navigation through microtonal harmonic trajectories. The implementation utilizes MIDI Polyphonic Expression (MPE) via our custom MaxForLive application, The Bridge, ensuring precise microtonal control and compatibility with digital audio workstations (Ableton Live 11/12). The system includes real-time visualization, interactive chord manipulation, and a comprehensive Scale Editor for harmonic experimentation. Through practical examples and theoretical analysis, we demonstrate how this approach reveals new harmonic possibilities while maintaining connections to established modal frameworks. This research contributes to the growing microtonal music field by providing theoretical foundations and practical tools that incorporate extended tuning systems into contemporary musical practice.