31/20

Interval information

Ratio	31/20
Subgroup monzo	2.5.31 [-2 -1 1⟩
Size in cents	758.7219¢
Names	tricesimoprimal semiaugmented fifth, tricesimoprimal subminor sixth
Color name	thiwogu 5th, 31og5
FJS name	[math]\displaystyle{ \text{P5}^{31}_{5} }[/math]
Special properties	reduced
Tenney height (log2 nd)	9.27612
Weil height (log2 max(n, d))	9.90839
Wilson height (sopfr(nd))	40
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.24312 bits
Open this interval in xen-calc

In 31-limit just intonation, 31/20 is either the tricesimoprimal semiaugmented fifth or tricesimoprimal subminor sixth. It is flat of the Pythagorean minor sixth (128/81) by 2560/2511, and sharp of the perfect fifth (3/2) by 31/30. It can be used as a generator tuning for the sensi temperament, especially for the 5-limit sensipent temperament.

Approximation

31/20 is approximated very well by 30edo.

See also

• 40/31 – its octave complement
• 60/31 – its twelfth complement