36/31

Interval information

Ratio	36/31
Subgroup monzo	2.3.31 [2 2 -1⟩
Size in cents	258.8744¢
Names	(greater) tricesimoprimal inframinor third, (greater) tricesimoprimal ultramajor second
Color name	thiwu 3rd, 31u3
FJS name	[math]\displaystyle{ \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]\displaystyle{ \sqrt{nd} }[/math])	~4.18122 bits
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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, flat of the septimal minor third (7/6) by 217/216, and sharp of the major second (9/8) by 32/31.

See also

• 31/18 – its octave complement
• 31/24 – its fifth complement
• 31/27 – its fourth complement