31/27

Interval information

Ratio	31/27
Subgroup monzo	3.31 [-3 1⟩
Size in cents	239.1706¢
Names	(lesser) tricesimoprimal ultramajor second, (lesser) tricesimoprimal inframinor third
Color name	31o2, thiwo 2nd
FJS name	[math]\displaystyle{ \text{M2}^{31} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	9.70908
Weil norm (log2 max(n, d))	9.90839
Wilson norm (sopfr(nd))	40
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In 31-limit just intonation, 31/27 is either the tricesimoprimal ultramajor second or tricesimoprimal inframinor third. It is sharp of the Pythagorean major second (9/8) by 248/243, sharp of the septimal major second (8/7) by 217/216, and flat of the minor third (32/27) by 32/31. It differs from the vicesimotertial inframinor third by 621/620

Approximation

This interval is very accurately approximated by 1\5. Five intervals of 31/27 fall short of the octave by 28697814/28629151.

See also

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