Gariatom: Difference between revisions

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Added paragraph about the comma as a (corrected) expanded fraction
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{{Infobox Interval
{{Infobox Interval
| Ratio = 1126313291381095/1125899906842624
| Monzo = -169 96 0 6
| Name = gariatom
| Name = gariatom
| Color name = <sup>15</sup>z<sup>6</sup>-8Quintrila-tribizo comma}}
| Color name = <sup>15</sup>z<sup>6</sup>-8, Quintrila-tribizo comma}}


The gariatom is an unnoticeable comma measuring about 0.636 cents. 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.
The '''gariatom''' is an [[unnoticeable comma]] measuring about 0.636 [[Cent|cents]]. It is the amount by which a stack of six [[garischisma]]s falls short of the [[Pythagorean comma]], or a stack of seven falls short of [[64/63]], the septimal comma. [[Edo]]s [[tempering out]] the gariatom include [[12edo|12]] and [[306edo|306]].
 
The name, given by [[User:Tristanbay|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 subgroup temperaments|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.
 
[[Category:Commas named by combining multiple temperament names]]
[[Category:Commas named for the intervals they stack]]