Quintile comma: Difference between revisions

Interval information
Factorization	2-28 × 325 × 5-5
Monzo	[-28 25 -5⟩
Size in cents	17.30645¢
Name	Quintile comma
FJS name	[math]\displaystyle{ \text{m}{-2}_{5,5,5,5,5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	79.2337
Weil norm (log2 max(n, d))	79.2481
Wilson norm (sopfr(nd))	156
Comma size	small
	Open this interval in xen-calc

Revision as of 12:05, 19 February 2025

The quintile comma (monzo: [-28 25 -5⟩, ratio: 847 288 609 443 / 838 860 800 000) is a small 5-limit comma of about 17.306 cents.

Tempering out this comma leads to the quintile family of temperaments.

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Name = Pental comma
+| Name = Quintile comma
 | Monzo = -28 25 -5
 | Comma = yes
 }}
-The '''pental comma''' is an interval of about 17.306 cents. It has the monzo [-28 25 -5⟩ and the ratio '''847288609443 / 838860800000'''.
+The '''quintile comma''' ({{monzo|legend=1| -28 25 -5 }}, [[ratio]]: 847 288 609 443 / 838 860 800 000) is a [[small comma|small]] [[5-limit]] [[comma]] of about 17.306 [[cent]]s.
-It defines the [[pental family]] of temperaments.
+Tempering out this comma leads to the [[quintile family]] of temperaments.
 {{todo|expand}}
 [[Category:Commas named for their periods per equave]]