48/31
Jump to navigation
Jump to search
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
| Interval information |
tricesimoprimal semiaugmented fifth
(Shannon, [math]\sqrt{nd}[/math])
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
- 31/24 – its octave complement
- 31/16 – its twelfth complement