21/11

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Interval information
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 (log2 nd) 7.85175
Weil height (log2 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