A12 scale

A12 (Playⓘ) is a non-octave-repeating scale or musical tuning featuring twelve steps to the tritave.

As twelve steps to the octave is based on a triad of harmonics 4:5:6 (root, major third, perfect fifth), Playⓘ A12 is based on a triad of harmonics 4:7:10 (root, harmonic seventh, and compound major third).

[1] Discovered by Heinz Bohlen between 1972 and 1973,[2] it was named "A12" by Enrique Moreno.

[3] Bohlen considered this scale less logically consistent than the Bohlen–Pierce scale, which has thirteen steps in the twelfth.

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A12 triad (4:7:10) in conventional notation. Play
Octave 12-tet (left) compared with tritave 12-tet (right)