31/27

Interval information

Ratio	31/27
Subgroup monzo	3.31 [-3 1⟩
Size in cents	239.1706¢
Names	tricesimoprimal ultramajor second, tricesimoprimal inframinor third
Color name	31o2, thiwo 2nd
FJS name	[math]\text{M2}^{31}[/math]
Special properties	reduced
Tenney height (log2 nd)	9.70908
Weil height (log2 max(n, d))	9.90839
Wilson height (sopfr(nd))	40
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~4.21409 bits
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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, and flat of the minor third (32/27) by 32/31.

Approximation

This interval is very accurately approximated by 1\5.

See also

• 54/31 – its octave complement