21/11
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Ratio | 21/11 |
Factorization | 3 × 7 × 11^{-1} |
Monzo | [0 1 0 1 -1⟩ |
Size in cents | 1119.463¢ |
Names | large undecimal diminished octave, undecimal major seventh |
Color name | 1uz8, luzo 8ve |
FJS name | [math]\text{P8}^{7}_{11}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 7.85175 |
Weil height (log_{2} max(n, d)) | 8.78463 |
Wilson height (sopfr (nd)) | 21 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.25633 bits |
[sound info] | |
open this interval in xen-calc |
21/11, the large undecimal diminished octave is an 11-limit interval, and the octave complement of 22/21. Of note is that the Huygens-Fokker Foundation dubs this interval the undecimal major seventh, which, in light of the size of 33/32, also makes sense, resulting in this interval being perhaps best classified as a "sevtave" – a type of cross between a seventh and an octave.
See also
- 22/21 – its octave complement