21/11

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
FJS name	[math]\displaystyle{ \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
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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 properties of 7/4, also makes sense, resulting in this interval being best classified as a "sevtave"- a type of cross between a seventh and an octave.

See also

• 22/21 – its octave complement