Gariatom
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Factorization
2-169 × 396 × 76
Monzo
[-169 96 0 6⟩
Size in cents
0.63552189¢
Name
gariatom
Color name
15z6-8, Quintrila-tribizo comma
FJS name
[math]\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]\sqrt{nd}[/math])
~1.2036 bits
open this interval in xen-calc
Interval information |
reduced harmonic
(Shannon, [math]\sqrt{nd}[/math])
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.