5909761/5909760

Interval information

Ratio	5909761/5909760
Factorization	2-8 × 3-5 × 5-1 × 112 × 132 × 172 × 19-1
Monzo	[-8 -5 -1 0 2 2 2 -1⟩
Size in cents	0.0002929449¢
Name	insanosevensma
Color name	nubisotholo-aguma, 19u17oo3oo1oogM
FJS name	[math]\displaystyle{ \text{ddd2}^{11,11,13,13,17,17}_{5,19} }[/math]
Special properties	square superparticular, reduced
Tenney norm (log2 nd)	44.9893
Weil norm (log2 max(n, d))	44.9893
Wilson norm (sopfr(nd))	137
Comma size	unnoticeable
S-expression	S286/S288
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5909761/5909760, the insanosevensma, is a 19-limit comma, one of the smallest 19-limit commas and the smallest 19-limit square-particular.

It has several S-expressions, the simplest one being S2431, which makes the difference between 2431/2430 and 2432/2431; and in the 19-add-41 limit, S286/S288, a semiparticular splitting 289/285 into two ~144/143 halves.

Temperaments

This comma is trivially tempered out in cassaschismic as both 2431/2430 and 2432/2431 are tempered out. It is also one of the defining S-commas of insatinismic, including the insanisma and insanineteensma.