Gariatom: Difference between revisions
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Tristanbay (talk | contribs) Added paragraph about the comma as a (corrected) expanded fraction Tags: Mobile edit Mobile web edit |
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| Color name = <sup>15</sup>z<sup>6</sup>-8, Quintrila-tribizo comma}} | | Color name = <sup>15</sup>z<sup>6</sup>-8, Quintrila-tribizo comma}} | ||
The '''gariatom''' | 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. | 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 by combining multiple temperament names]] | ||
[[Category:Commas named for | [[Category:Commas named for the intervals they stack]] | ||
Latest revision as of 10:20, 11 November 2024
| Interval information |
reduced harmonic
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.