48/31

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Interval information
Ratio 48/31
Subgroup monzo 2.3.31 [4 1 -1
Size in cents 756.91943¢
Names tricesimoprimal inframinor sixth,
tricesimoprimal semiaugmented fifth
Color name thiwu 6th, 31u6
FJS name [math]\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]\sqrt{nd}[/math])
~4.24571 bits
open this interval in xen-calc

In 31-limit just intonation, 48/31 is either the tricesimoprimal inframinor sixth or tricesimoprimal semiaugmented fifth. 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