13 Tone Steps in the Twelfth

Author: Bohlen, H.

Source: Acta Acustica united with Acustica, Volume 87, Number 5, September/October 2001 , pp. 617-624(8)

Publisher: S. Hirzel Verlag

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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

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