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