22/13
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| Ratio | 22/13 |
| Factorization | 2 × 11 × 13-1 |
| Monzo | [1 0 0 0 1 -1⟩ |
| Size in cents | 910.79028¢ |
| Names | tridecimal major sixth, major minthmic major sixth |
| Color name | 3u1o6, thulo 6th |
| FJS name | [math]\text{M6}^{11}_{13}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 8.15987 |
| Weil height (log2 max(n, d)) | 8.91886 |
| Wilson height (sopfr (nd)) | 26 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.2578 bits |
[sound info] | |
| open this interval in xen-calc | |
22/13, the tridecimal major sixth or major minthmic major sixth, is a 13-limit just intonation interval measuring about 910.8 cents. It is the inverse of 13/11, the tridecimal minor third. It is sharp of the Pythagorean major sixth (27/16) by a major minthma (352/351).
Approximation
This interval is well approximated by 13\17 (917.647 cents), and even better, by 22\29 (910.345 cents).