31/18
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| Ratio | 31/18 |
| Subgroup monzo | 2.3.31 [-1 -2 1⟩ |
| Size in cents | 941.12557¢ |
| Names | tricesimoprimal ultramajor sixth, tricesimoprimal inframinor seventh |
| FJS name | [math]\text{M6}^{31}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 9.12412 |
| Weil height (log2 max(n, d)) | 9.90839 |
| Wilson height (sopfr (nd)) | 39 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.24187 bits |
| open this interval in xen-calc | |
In 31-limit just intonation, 31/18 is either the tricesimoprimal ultramajor sixth or tricesimoprimal inframinor seventh. It is sharp of the Pythagorean major sixth (27/16) by 248/243, and flat of the minor seventh (16/9) by 32/31.
See also
- 36/31 – its octave complement
- 54/31 – its twelfth complement