492128/492075

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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.

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
Open this interval in xen-calc

Temperaments

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