52/35
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Ratio | 52/35 |
Factorization | 2^{2} × 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 (log_{2} nd) | 10.8297 |
Weil height (log_{2} max(n, d)) | 11.4009 |
Wilson height (sopfr (nd)) | 29 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.06754 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).