875/648

Interval information

Ratio	875/648
Factorization	2-3 × 3-4 × 53 × 7
Monzo	[-3 -4 3 1⟩
Size in cents	519.947¢
Name	maviloid generator superfourth
Color name	zy34, zotriyo 4th
FJS name	[math]\displaystyle{ \text{A4}^{5,5,5,7} }[/math]
Special properties	reduced
Tenney height (log2 nd)	19.113
Weil height (log2 max(n, d))	19.5463
Wilson height (sopfr(nd))	40
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.24526 bits
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875/648, the maviloid generator superfourth, is a 7-limit just intonation interval measuring about 519.947 cents.

Theory

It can be used as the generator of the 99 & 373 temperament called maviloid, alongside with its octave inverse 1296/875. If used to make 2L 5s, it produces a very soft MOS with a step ratio of about 1.2.

It can be obtained by stacking three 5/4's and 81/56. It is higher than the perfect fourth 4/3 by 875/864, the keema, and thus the two are equated in the keemic family of temperaments.