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 | |
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.