22/21

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Revision as of 21:15, 23 October 2018 by Xenwolf (talk | contribs) (added interval infobox and categories, increased digits)
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Interval information
Ratio 22/21
Factorization 2 × 3-1 × 7-1 × 11
Monzo [1 -1 0 -1 1⟩
Size in cents 80.53704¢
Name small undecimal semitone
FJS name [math]\displaystyle{ \text{P1}^{11}_{7} }[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 8.85175
Weil height (log2 max(n, d)) 8.91886
Wilson height (sopfr(nd)) 23

[sound info]
Open this interval in xen-calc

22/21 is a small superparticular semitone of about 80.5¢ that appears in 11-limit Just Intonation. It makes the difference between the 21st and 22nd overtone. It is close in size to 21/20, a 7-limit superparticular interval, differing from it by 441/440, about 3.9¢.

The single degree of 88cET can function as both 21/20 and 22/21, thus tempering out 441/440.

See also

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