Gariatom

Interval information

Factorization	2-169 × 396 × 76
Monzo	[-169 96 0 6⟩
Size in cents	0.6355219¢
Name	gariatom
Color name	15z6-8, Quintrila-tribizo comma
FJS name	[math]\displaystyle{ \text{12d}{-8}^{7,7,7,7,7,7} }[/math]
Special properties	reduced, reduced harmonic
Tenney height (log2 nd)	338.001
Weil height (log2 max(n, d))	338.001
Wilson height (sopfr(nd))	668
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~1.2036 bits
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The gariatom is an unnoticeable comma measuring about 0.636 cents. It is the amount by which a stack of six garischismas falls short of the Pythagorean comma, or a stack of seven falls short of 64/63, the septimal comma. Edos tempering out the gariatom include 12 and 306.

The name, given by Tristan Bay in 2023, is a reference to both Kirnberger's atom due to its structure and the garischisma due to it being a no-fives 7-limit interval.

As one may expect, the numerator and denominator of this interval are enormous (51 digits each). The full expanded fraction is 748563579464202482532205129083896013730003059949329/748288838313422294120286634350736906063837462003712.