22/13

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Interval information
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{n\cdot d}[/math])
~4.55715 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).

See also