22/21
(Redirected from 22 21)
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| Ratio | 22/21 |
| Factorization | 2 × 3-1 × 7-1 × 11 |
| Monzo | [1 -1 0 -1 1⟩ |
| Size in cents | 80.537035¢ |
| Name | small undecimal semitone |
| Color name | 1or1, loru unison |
| FJS name | [math]\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 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.68615 bits |
[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 harmonics. 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.
10 steps of 149edo appoximate 22/21 with a precision of about 1 part in 15 million, or 1 part in 100000 when measured using relative cents.