The Bohlen-Pierce Site
ACUSTICA Publication, January 1978

This page has been modified last on September 13, 2008


13 Tonstufen in der Duodezime

H. Bohlen


This paper is reproduced here by courtesy of the publisher, S. Hirzel Verlag, Stuttgart.
(Written permission of August 16, 2000.)

Based on a consonance criterion that is founded on combination tones, first the Western twelve-step scale is derived from the major triad. The same procedure, extended to consonant intervals not used in the Western scale, then leads to a thirteen-step scale filling the framework of the twelfth. 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.


The manuscript for this paper is from December 1975; its original is archived at Huygens-Fokker Foundation (Stichting Huygens-Fokker), Amsterdam.