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A12 () is a non- octave-repeating scale or
"Other Unusual Scales"
''The Bohlen–Pierce Site''. Bohlen considered this scale less logically consistent than the
A12 () is a non- octave-repeating scale or musical tuning
In music, there are two common meanings for tuning:
* #Tuning practice, Tuning practice, the act of tuning an instrument or voice.
* #Tuning systems, Tuning systems, the various systems of Pitch (music), pitches used to tune an instrument, and ...
featuring twelve steps to the tritave. As twelve steps to the octave is based on a triad of harmonic
In physics, acoustics, and telecommunications, a harmonic is a sinusoidal wave with a frequency that is a positive integer multiple of the ''fundamental frequency'' of a periodic signal. The fundamental frequency is also called the ''1st har ...
s 4:5:6 (root, major third, perfect fifth), A12 is based on a triad of harmonics 4:7:10 (root
In vascular plants, the roots are the plant organ, organs of a plant that are modified to provide anchorage for the plant and take in water and nutrients into the plant body, which allows plants to grow taller and faster. They are most often bel ...
, harmonic seventh
The harmonic seventh interval, also known as the septimal minor seventh,
or subminor seventh,
is one with an exact 7:4 ratio
(about 969 cent (music), cents).
This is about 32 cents narrower, with a more stable and consonant sound, than a ...
, and compound major third
In music theory, a third is a Interval (music), musical interval encompassing three staff positions (see Interval (music)#Number, Interval number for more details), and the major third () is a third spanning four Semitone, half steps or two ...
). Discovered by Heinz Bohlen
Heinz P. Bohlen (26 June 1935 – 2 February 2016)Heinz Bohlen
, ''Bohlen-Pierce-Confe ...
between 1972 and 1973, it was named "A12" by Enrique Moreno. Cited i, ''Bohlen-Pierce-Confe ...
"Other Unusual Scales"
''The Bohlen–Pierce Site''. Bohlen considered this scale less logically consistent than the
Bohlen–Pierce scale
The Bohlen–Pierce scale (BP scale) is a musical musical tuning, tuning and scale (music), scale, first described in the 1970s, that offers an alternative to the octave-repeating scales typical in Classical music, Western and other musics, spec ...
, which has thirteen steps in the twelfth.
See also
*833 cents scale
The 833 cents scale is a musical tuning and scale (music), scale proposed by Heinz Bohlen based on combination tones, an interval (music), interval of 833.09 cent (music), cents, and, coincidentally, the Fibonacci number, Fibonacci sequence.Boh ...
*Bohlen–Pierce scale
The Bohlen–Pierce scale (BP scale) is a musical musical tuning, tuning and scale (music), scale, first described in the 1970s, that offers an alternative to the octave-repeating scales typical in Classical music, Western and other musics, spec ...
References
23-limit tuning and intervals Equal temperaments Non–octave-repeating scales {{music-theory-stub