Tridecapyth comma

Interval information

Ratio	3489660928/3486784401
Factorization	228 × 3-20 × 13
Monzo	[28 -20 0 0 0 1⟩
Size in cents	1.427644¢
Name	tridecapyth comma
Color name	s33o3, trisatho 3rd, Trisatho comma
FJS name	[math]\displaystyle{ \text{ddd3}^{13} }[/math]
Special properties	reduced
Tenney height (log2 nd)	63.3997
Weil height (log2 max(n, d))	63.4009
Wilson height (sopfr(nd))	129
Comma size	unnoticeable
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The tridecapyth comma is the 13-limit unnoticeable comma 3489660928/3486784401, which measures roughly 1.43 cents. It is the interval which, when tempered out, not only equates 13/8 with a stack of twenty 3/2 perfect fifths octave-reduced, and, consequently, a stack of four 256/243 Pythagorean limmas with 16/13, but also a stack of two Pythagorean commas with the 1053/1024 tridecimal quartertone.