Abstract:

Based on a consonance criterion that is founded on combination tones, first the twelve-step scale is derived from the major triad. The same procedure, extended to consonant intervals not used in the twelve-step scale, then leads to a thirteen-step scale filling the framework of the twelfth₀. This scale is presented in just and equal tempered tuning. Approaches are shown to a tonal system, based on this scale, and to the realization of 13-tone music.

Document Type: Research article