Gariatom: Difference between revisions

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 norm (log2 nd)	338.001
Weil norm (log2 max(n, d))	338.001
Wilson norm (sopfr(nd))	668
	Open this interval in xen-calc

Revision as of 10:10, 11 November 2024

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.

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 | Color name = <sup>15</sup>z<sup>6</sup>-8, Quintrila-tribizo comma}}
-The '''gariatom''', 1126313291381095/1125899906842624, 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 '''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.