492128/492075

Interval information

Ratio	492128/492075
Factorization	25 × 3-9 × 5-2 × 7 × 133
Monzo	[5 -9 -2 1 0 3⟩
Size in cents	0.1864563¢
Name	catiton
Color name	s33zgg3, satritho-azoguguma
FJS name	[math]\displaystyle{ \text{dddd3}^{7,13,13,13}_{5,5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	37.8172
Weil norm (log2 max(n, d))	37.8173
Wilson norm (sopfr(nd))	93
Comma size	unnoticeable
S-expression	S26/S27
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492128/492075, the catiton, is an unnoticeable 13-limit (specifically 2.3.5.7.13-subgroup) comma measuring 0.186 ¢. As an ultraparticular, tempering it out splits the 28/25 meantone into three 27/26 third-tones, the 96/91 semitone into two 416/405 quartertones, and equates the superparticular ratios 729/728 and 676/675. It times the catasma is the ragisma, visible in its S-expression as (S25/S26)(S26/27) = S25/27 = 4375/4374.

Temperaments

It is tempered out in bischismic, buzzard, catakleismic, godzilla, harry, hemiseven, iron, mirkat, ennealimmapine, sruti, unicorn, and unthirds temperaments.