Compass comma: Difference between revisions

Interval information
Ratio	9765625/9680832
Factorization	2-6 × 3-2 × 510 × 7-5
Monzo	[-6 -2 10 -5⟩
Size in cents	15.0976¢
Name	compass comma
Color name	r5y10-5, quinruyoyo negative 5th
FJS name	[math]\displaystyle{ \text{7d}{-5}^{5,5,5,5,5,5,5,5,5,5}_{7,7,7,7,7} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	46.426
Weil norm (log2 max(n, d))	46.4386
Wilson norm (sopfr(nd))	103
Comma size	small
	Open this interval in xen-calc

Latest revision as of 05:19, 21 February 2026

9765625/9680832, the compass comma is a small 7-limit comma. It is the difference between a stack of five 28/25's and 16/9.

Tempering out this comma alone in the 7-limit leads to the rank-3 compass temperament. Rank-2 temperaments which temper out this comma include compton, passion, cotritone, sqrtphi, ripple, quintupole, and quintakwai.

This comma was named by Xenllium in 2021 as a contraction of compton and passion.

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-'''9765625/9680832''', the '''compass comma''' is a [[small comma|small]] [[7-limit]] [[comma]]. It is the difference between five [[28/25]]s and two [[4/3]]s. The name ''compass'' is a contraction of ''[[compton]]'' and ''[[passion]]''.
+'''9765625/9680832''', the '''compass comma''' is a [[small comma|small]] [[7-limit]] [[comma]]. It is the difference between a stack of five [[28/25]]'s and [[16/9]].
 == Temperaments ==
-Tempering out this comma alone in the 7-limit leads to the rank-3 [[Miscellaneous 7-limit temperaments #Compass|compass temperament]]. Aside from compton and passion, rank-2 temperaments which temper out this comma include [[cotritone]], [[sqrtphi]], [[ripple]], [[quintupole]] and [[quintakwai]].
+[[Tempering out]] this comma alone in the 7-limit leads to the rank-3 [[compass]] temperament. Rank-2 temperaments which temper out this comma include [[compton]], [[passion]], [[cotritone]], [[sqrtphi]], [[ripple]], [[quintupole]], and [[quintakwai]].
+== Etymology ==
+This comma was named by [[Xenllium]] in 2021 as a contraction of ''[[compton]]'' and ''[[passion]]''.
 [[Category:Compass]]
 [[Category:Commas named by combining multiple temperament names]]