Quartonic comma: Difference between revisions

Interval information
Factorization	23 × 3-18 × 511
Monzo	[3 -18 11⟩
Size in cents	14.26084¢
Name	Quartonic comma
FJS name	[math]\displaystyle{ \text{ddd}{-2}^{5,5,5,5,5,5,5,5,5,5,5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	57.0705
Weil norm (log2 max(n, d))	57.0824
Wilson norm (sopfr(nd))	115
Comma size	small
	Open this interval in xen-calc

Latest revision as of 04:24, 3 August 2026

The quartonic comma (monzo: [3 -18 11⟩, ratio: 390 625 000 / 387 420 489) is a small 5-limit comma of about 14.3 cents.

Tempering out this comma in the 5-limit defines the quartonic temperament.

See Quartonic family for the family of temperaments where it is tempered out.

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-The '''quartonic comma''' is an interval of about 14.261 cents. It has the monzo [3 -18 11⟩ and the ratio '''390625000 / 387420489'''.
+The '''quartonic comma''' ({{monzo|legend=1| 3 -18 11 }}, [[ratio]]: 390 625 000 / 387 420 489) is a [[small comma|small]] [[5-limit]] [[comma]] of about 14.3 [[cent]]s.
-It defines the [[quartonic family]] of temperaments.
+== Temperaments ==
+[[Tempering out]] this comma in the 5-limit defines the [[quartonic]] temperament.
+See [[Quartonic family]] for the [[family of temperaments]] where it is tempered out.
 {{todo|expand}}
 [[Category:Commas named for their regular temperament properties]]