31/22

Interval information

Ratio	31/22
Subgroup monzo	2.11.31 [-1 -1 1⟩
Size in cents	593.7176¢
Name	lesser tricesimoprimal tritone
Color name	31o1u4, thiwolu 4th
FJS name	[math]\displaystyle{ \text{A4}^{31}_{11} }[/math]
Special properties	reduced
Tenney height (log2 nd)	9.41363
Weil height (log2 max(n, d))	9.90839
Wilson height (sopfr(nd))	44
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.18881 bits
Open this interval in xen-calc

In 31-limit just intonation, 31/22 is the lesser tricesimoprimal tritone. It is sharp of the Pythagorean diminished fifth (1024/729) by 22599/22528 (~5.4 ¢), sharp of lesser septimal tritone (7/5) by 155/154 (~11.2 ¢), sharp of the lesser ptolemaic tritone (45/32) by 496/495 (~3.5 ¢), and flat of the lesser septendecimal tritone (24/17) by 528/527 (~3.3 ¢).

See also

• 44/31 – its octave complement
• 33/31 – its fifth complement