54/31

Interval information

Ratio	54/31
Subgroup monzo	2.3.31 [1 3 -1⟩
Size in cents	960.8294¢
Names	(greater) tricesimoprimal inframinor seventh, (greater) tricesimoprimal ultramajor sixth
Color name	31u7, thiwu 7th
FJS name	[math]\displaystyle{ \text{m7}_{31} }[/math]
Special properties	reduced
Tenney height (log2 nd)	10.7091
Weil height (log2 max(n, d))	11.5098
Wilson height (sopfr(nd))	42
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.13679 bits
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In 31-limit just intonation, 54/31 is either the tricesimoprimal inframinor seventh or tricesimoprimal ultramajor sixth. It is flat of the Pythagorean minor seventh (16/9) by 248/243, flat of the septimal minor seventh (7/4) by 217/216, and sharp of the major sixth (27/16) by 32/31.

Approximation

This interval is very accurately approximated by 4\5.

See also

• 31/27 – its octave complement
• 31/18 – its twelfth complement