A12_scale

A12 scale

A12 scale

Add article description

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.

More information Step, Ratio ...
A12 triad (4:7:10) in conventional notation. Playⓘ
Octave 12-tet (left) compared with tritave 12-tet (right)

See also

References

  1. [1]
    "Other Unusual Scales". The Bohlen–Pierce Site. Retrieved 27 November 2012.
  2. [2]
    Bohlen, Heinz: 13 Tonstufen in der Duodezime. Acustica, vol. 39 no. 2, S. Hirzel Verlag, Stuttgart, 1978, pp. 76 - 86. Cited in "Other Unusual Scales", The Bohlen–Pierce Site.
  3. [3]
    Moreno, Enrique Ignacio (Dec 1995). "Embedding Equal Pitch Spaces and The Question of Expanded Chromas: An Experimental Approach". Dissertation. Stanford University: 12–22. Cited in "Other Unusual Scales", The Bohlen–Pierce Site.


Stub icon

This music theory article is a stub. You can help Wikipedia by expanding it.
Share this article:

This article uses material from the Wikipedia article A12_scale, and is written by contributors. Text is available under a CC BY-SA 4.0 International License; additional terms may apply. Images, videos and audio are available under their respective licenses.