21/11: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Ratio = 21/11
| Name = large undecimal diminished octave, undecimal major seventh
| Monzo = 0 1 0 1 -1
| Cents = 1119.46296
| Name = large undecimal diminished octave, <br> undecimal major seventh
| Color name =
| FJS name = P8<sup>7</sup><sub>11</sub>
| Sound = jid_21_11_pluck_adu_dr220.mp3
| Sound = jid_21_11_pluck_adu_dr220.mp3
}}
}}
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* [[22/21]] – its [[octave complement]]
* [[22/21]] – its [[octave complement]]


[[Category:11-limit]]
[[Category:Octave]]
[[Category:Octave]]
[[Category:Diminished octave]]
[[Category:Diminished octave]]

Revision as of 11:45, 25 October 2022

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

[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