31/18

Interval information

Ratio	31/18
Subgroup monzo	2.3.31 [-1 -2 1⟩
Size in cents	941.1256¢
Names	(lesser) tricesimoprimal ultramajor sixth, (lesser) tricesimoprimal inframinor seventh
Color name	thiwo 6th, 31o6
FJS name	[math]\displaystyle{ \text{M6}^{31} }[/math]
Special properties	reduced
Tenney height (log2 nd)	9.12412
Weil height (log2 max(n, d))	9.90839
Wilson height (sopfr(nd))	39
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.24187 bits
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In 31-limit just intonation, 31/18 is either the tricesimoprimal ultramajor sixth or tricesimoprimal inframinor seventh. It is sharp of the Pythagorean major sixth (27/16) by 248/243, sharp of the septimal major sixth (12/7) by 217/216, and flat of the minor seventh (16/9) by 32/31.

See also

• 36/31 – its octave complement
• 54/31 – its twelfth complement