31/27

Interval information
Ratio	31/27
Subgroup monzo	3.31 [-3 1⟩
Size in cents	239.17057¢
Names	tricesimoprimal ultramajor second, tricesimoprimal inframinor third
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.