1ed21/20
(Redirected from AS21/20)
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(convergent)
(convergent)
1 equal division of 21/20 (1ed21/20), also known as ambitonal sequence of 21/20 (AS21/20) or 21/20 equal-step tuning, is the equal multiplication of the 21/20 septimal chromatic semitone of 84.467 cents. As such, every interval is a subset of 7-limit just inotation.
It is equal to approximately 14.2067 EDO, and as a result of tethering between compressed 14 and heavily stretched 15 it is quite xenharmonic in its sound. Nonetheless, it is quite a useful scale because it is related to nautilus, sextilififths and floral temperaments.
Theory
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | absolute (¢) | -17.5 | +40.8 | -34.9 | +1.1 | +23.3 | +9.9 | +32.1 | -2.9 | -16.4 | -12.4 | +5.9 |
| relative (%) | -21 | +48 | -41 | +1 | +28 | +12 | +38 | -3 | -19 | -15 | +7 | |
| Step | 14 | 23 | 28 | 33 | 37 | 40 | 43 | 45 | 47 | 49 | 51 | |