88/63
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| Ratio | 88/63 |
| Factorization | 23 × 3-2 × 7-1 × 11 |
| Monzo | [3 -2 0 -1 1⟩ |
| Size in cents | 578.58203¢ |
| Name | pentacircle diminished fifth |
| Color name | 1or4, loru 4th |
| FJS name | [math]\text{P4}^{11}_{7}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 12.4367 |
| Weil height (log2 max(n, d)) | 12.9189 |
| Wilson height (sopfr(nd)) | 30 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.14034 bits |
| open this interval in xen-calc | |
88/63, the pentacircle diminished fifth, is 896/891 below 1024/729, the Pythagorean diminished fifth. It is also 441/440 (3.9 cents) below 7/5. It is 0.01 cent sharp of the 56edo augmented fourth of 27\56. It arises in 11-limit scales as the interval from 9/8 to 11/7, or 14/11 to 16/9.
Terminology
It could also be called werckismic augmented fourth if viewed as fudging from 7/5 instead.