31/26

Interval information

Ratio	31/26
Subgroup monzo	2.13.31 [-1 -1 1⟩
Size in cents	304.5079¢
Name	tricesimoprimal minor third
Color name	31o3u2, thiwothu 2nd
FJS name	[math]\displaystyle{ \text{A2}^{31}_{13} }[/math]
Special properties	reduced
Tenney height (log2 nd)	9.65464
Weil height (log2 max(n, d))	9.90839
Wilson height (sopfr(nd))	46
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.16581 bits
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In 31-limit just intonation, 31/26 is the tricesimoprimal minor third. It is sharp of the Pythagorean minor third (32/27) by 837/832 (~10.4 ¢), sharp of otonal minor third (19/16) by 248/247 (~7 ¢), and flat of the classical minor third (6/5) by 156/155 (~11.1 ¢).

See also

• 52/31 – its octave complement
• 39/31 – its fifth complement