31/24
Jump to navigation
Jump to search
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 (log2 nd)
9.53916
Weil height (log2 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
| Interval information |
tricesimoprimal semidiminished fourth
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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