875/648
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| Ratio | 875/648 |
| Factorization | 2-3 × 3-4 × 53 × 7 |
| Monzo | [-3 -4 3 1⟩ |
| Size in cents | 519.94704¢ |
| Name | maviloid generator superfourth |
| Color name | zy34, zotriyo 4th |
| FJS name | [math]\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]\sqrt{nd}[/math]) |
~4.24526 bits |
| open this interval in xen-calc | |
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.