48/31

Interval information

Ratio	48/31
Subgroup monzo	2.3.31 [4 1 -1⟩
Size in cents	756.9194¢
Names	tricesimoprimal inframinor sixth, tricesimoprimal superfifth
Color name	thiwu 6th, 31u6
FJS name	[math]\displaystyle{ \text{m6}_{31} }[/math]
Special properties	reduced
Tenney height (log2 nd)	10.5392
Weil height (log2 max(n, d))	11.1699
Wilson height (sopfr(nd))	42
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.24571 bits
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In 31-limit just intonation, 48/31 is either the tricesimoprimal inframinor sixth or tricesimoprimal superfifth. It is flat of the Pythagorean minor sixth (128/81) by 248/243, and sharp of the perfect fifth (3/2) by 32/31. It can be used as a generator tuning for the sensi temperament, especially for the 5-limit sensipent temperament.

Approximation

48/31 is very closely approximated by 41\65.

See also

• 31/24 – its octave complement
• 31/16 – its twelfth complement