54/31
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| Ratio | 54/31 |
| Subgroup monzo | 2.3.31 [1 3 -1⟩ |
| Size in cents | 960.82943¢ |
| Names | tricesimoprimal inframinor seventh, tricesimoprimal ultramajor sixth |
| 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 | |
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