36/31

Interval information

Ratio	36/31
Subgroup monzo	2.3.31 [2 2 -1⟩
Size in cents	258.87443¢
Names	tricesimoprimal inframinor third, tricesimoprimal ultramajor second
Color name	thiwu 3rd, 31u3
FJS name	[math]\text{m3}_{31}[/math]
Special properties	reduced
Tenney height (log2 nd)	10.1241
Weil height (log2 max(n, d))	10.3399
Wilson height (sopfr(nd))	41
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~4.18122 bits
open this interval in xen-calc

In 31-limit just intonation, 36/31 is either the tricesimoprimal inframinor third or tricesimoprimal ultramajor second. It is flat of the Pythagorean minor third (32/27) by 248/243, and sharp of the major second (9/8) by 32/31.

See also

• 31/18 – its octave complement
• 31/24 – its fifth complement