11413376/11413325

Interval information

Ratio	11413376/11413325
Factorization	27 × 5-2 × 7-3 × 11-3 × 13 × 193
Monzo	[7 0 -2 -3 -3 1 0 3⟩
Size in cents	0.007735935¢
Name	insanineteensma
Color name	satrino-athotriluru-aguguma, s19o^33o1u^3r^3gg2
FJS name	[math]\displaystyle{ \text{d2}^{13,19,19,19}_{5,5,7,7,7,11,11,11} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	46.8884
Weil norm (log2 max(n, d))	46.8884
Wilson norm (sopfr(nd))	148
Comma size	unnoticeable
S-expression	S76/S77
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11413376/11413325, the insanineteensma, is a 2.3.5.7.11.13.19 subgroup interval, one of the smallest 19-limit commas. It is an ultraparticular, the difference between 5776/5775 and 5929/5928, or S76/S77 S-expressed.

As an ultraparticular, it is the difference between 26/25 and (77/76)³. It also splits 2926/2925 in two, each for 5776/5775~5929/5928.

Temperaments

It is trivially tempered out in cassaschismic and temperaments of it such as newt, cassandra, gariwizmic or vulture; since 5776/5775 and 5929/5928 are also tempered out. It is also tempered out in hecate.

Alongside the insanisma and insanosevensma it is one of the S-commas tempered out in insatinismic, an extremely accurate rank-5 temperament.

Etymology

This comma was named by Eufalesio in 2026, based as a portmanteau of insane + nineteen + sma, as a 2.3.5.7.11.13.19 parallel to the insanisma.