44/31

Interval information

Ratio	44/31
Subgroup monzo	2.11.31 [2 1 -1⟩
Size in cents	606.2824¢
Name	greater tricesimoprimal tritone
Color name	31u1o5, thiwulo 5th
FJS name	[math]\displaystyle{ \text{d5}^{11}_{31} }[/math]
Special properties	reduced
Tenney height (log2 nd)	10.4136
Weil height (log2 max(n, d))	10.9189
Wilson height (sopfr(nd))	46
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.23159 bits
Open this interval in xen-calc

In 31-limit just intonation, 44/31 is the greater tricesimoprimal tritone. It is flat of the Pythagorean augmented fourth (729/512) by 22599/22528 (~5.4 ¢), flat of greater septimal tritone (10/7) by 155/154 (~11.2 ¢), flat of the greater ptolemaic tritone (64/45) by 496/495 (~3.5 ¢), and sharp of the greater septendecimal tritone (17/12) by 528/527 (~3.3 ¢).

See also

• 31/22 – its octave complement