Gaster comma

Interval information

Factorization	2-70 × 372 × 5-19
Monzo	[-70 72 -19⟩
Size in cents	0.7994989¢
Name	gaster comma
Color name	L8g19-3, quadbila-negu negative 3rd
FJS name	[math]\displaystyle{ \text{M}{-3}_{5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	228.234
Weil norm (log2 max(n, d))	228.235
Wilson norm (sopfr(nd))	451
Comma size	unnoticeable
Open this interval in xen-calc

22528399544939174411840147874772641/22517998136852480000000000000000000, the gaster comma is a 5-limit unnoticeable comma measuring about 0.7995 cents. It is the difference between a stack of seventeen 9/8s and a stack of nineteen 10/9s, (9/8)¹⁷/(10/9)¹⁹ = [-70 72 -19⟩ (quadbila-negu). Equal temperaments which temper out this comma include 111, 113, 224, 335, 559, 783, 1342, 1901, 3243 and others.

The gaster comma is tempered out by the gaster temperament.