492128/492075: Difference between revisions

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	cataton
Color name	s3o3zgg3, 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

Latest revision as of 05:53, 24 August 2026

492128/492075, the cataton, 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.

@@ Line 2: / Line 2: @@
 | Ratio = 492128/492075
 | Name =cataton
-| Color name = s3<sup>3</sup>zgg3, satritho-azoguguma
+| Color name = s3o<sup>3</sup>zgg3, satritho-azoguguma
 | Comma = yes
 }}