54/31
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Ratio
54/31
Subgroup monzo
2.3.31 [1 3 -1⟩
Size in cents
960.8294¢
Names
tricesimoprimal inframinor seventh,
tricesimoprimal ultramajor sixth
Color name
31u7, thiwu 7th
FJS name
[math]\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]\sqrt{nd}[/math])
~4.13679 bits
open this interval in xen-calc
| Interval information |
tricesimoprimal ultramajor sixth
(Shannon, [math]\sqrt{nd}[/math])
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, 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