875/648: Difference between revisions

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Correction (chroma-positive and chroma-negative are only defined relative to a mos); +categories
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{{Infobox Interval
| Name = maviloid generator superfourth
| Color name = zy<sup>3</sup>4, zotriyo 4th
}}
'''875/648''', the '''maviloid generator superfourth''', is a 7-limit just intonation interval measuring about 519.947 [[cent]]s.
'''875/648''', the '''maviloid generator superfourth''', is a 7-limit just intonation interval measuring about 519.947 [[cent]]s.


== Theory ==
== 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 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.
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.

Latest revision as of 23:12, 18 September 2024

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
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.