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
}}
'''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.



Revision as of 18:36, 27 October 2022

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
FJS name [math]\displaystyle{ \text{A4}^{5,5,5,7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 19.113
Weil norm (log2 max(n, d)) 19.5463
Wilson norm (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.