48/31
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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
- 31/24 – its octave complement
- 31/16 – its twelfth complement