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
685.388¢
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{nd}[/math])
~4.06754 bits
open this interval in xen-calc
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
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).