52/35
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| Ratio | 52/35 |
| Factorization | 22 × 5-1 × 7-1 × 13 |
| Monzo | [2 0 -1 -1 0 1⟩ |
| Size in cents | 685.38804¢ |
| Name | animist fifth |
| Color name | 3org5, thorugu 5th |
| FJS name | [math]\text{d5}^{13}_{5,7}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 10.8297 |
| Weil height (log2 max(n, d)) | 11.4009 |
| Wilson height (sopfr (nd)) | 29 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.33362 bits |
| open this interval in xen-calc | |
The animist fifth (frequency ratio 52/35) is a 13-limit interval which is well approximated in several equal step tunings, most notably 7edo (as 4\7). As its name implies, it is an animist comma (105/104) narrower than a just perfect fifth (3/2).