52/35

Interval information

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]\displaystyle{ \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]\displaystyle{ \sqrt{nd} }[/math])	~4.06754 bits
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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).

See also

• 35/26 – its octave complement
• Gallery of just intervals