22/13
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Ratio
22/13
Factorization
2 × 11 × 13-1
Monzo
[1 0 0 0 1 -1⟩
Size in cents
910.7903¢
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
| Interval information |
major minthmic major sixth
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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).