Dual Ring Harmonic Models

DualRing2
The Dual Ring Model at left describes diatonic harmony as a process of unfolding with the Cycle of Fifths progressing or "growing" outward like an amino acid chain. The Chromatic Ring Model at right describes chromatic harmony as a process of inward, stationary oscillation like a torus. Thus, harmonic music might best be described as a process of walking and standing to create a sense of journey.