22/13

Interval information

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]\displaystyle{ \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]\displaystyle{ \sqrt{nd} }[/math])	~4.2578 bits
[sound info]
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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

• 13/11 – its octave complement
• Gallery of just intervals