31/24
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Ratio | 31/24 |
Subgroup monzo | 2.3.31 [-3 -1 1⟩ |
Size in cents | 443.08057¢ |
Names | tricesimoprimal ultramajor third, tricesimoprimal semidiminished fourth |
Color name | 31o3, thiwo 3rd |
FJS name | [math]\text{M3}^{31}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 9.53916 |
Weil height (log_{2} max(n, d)) | 9.90839 |
Wilson height (sopfr (nd)) | 40 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.21062 bits |
[sound info] | |
open this interval in xen-calc |
In 31-limit just intonation, 31/24 is either the tricesimoprimal ultramajor third or tricesimoprimal semidiminished fourth. It is sharp of the Pythagorean major third (81/64) by 248/243, and flat of the perfect fourth (4/3) by 32/31. It can be used as a generator tuning for the sensi temperament, especially for the 5-limit sensipent temperament.
Approximation
31/24 is very closely approximated by 24\65.
See also
- 48/31 – its octave complement
- 36/31 – its fifth complement