85/64
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| Ratio | 85/64 |
| Factorization | 2-6 × 5 × 17 |
| Monzo | [-6 0 1 0 0 0 1⟩ |
| Size in cents | 491.26912¢ |
| Names | septendecimal harmonic fourth, archagall fourth |
| Color name | 17oy4, soyo 4th |
| FJS name | [math]\text{P4}^{5,17}[/math] |
| Special properties | reduced, reduced harmonic |
| Tenney height (log2 nd) | 12.4094 |
| Weil height (log2 max(n, d)) | 12.8188 |
| Wilson height (sopfr(nd)) | 34 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~3.90123 bits |
| open this interval in xen-calc | |
85/64, the septendecimal harmonic fourth or archagall fourth, is a 17-limit rooted interval that comes rather close to 4/3, from which it differs by 256/255. Notably, 85/64 is one of two intervals relatively simple intervals that can be used to generate a just version of something resembling a superpyth diatonic scale, the other being 128/85.