Shibboleth comma: Difference between revisions

Interval information
Ratio	1953125/1889568
Factorization	2-5 × 3-10 × 59
Monzo	[-5 -10 9⟩
Size in cents	57.27342¢
Name	shibboleth comma
Color name	y9-2, tritriyo negative 2nd
FJS name	[math]\displaystyle{ \text{ddd}{-2}^{5,5,5,5,5,5,5,5,5} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	41.747
Weil norm (log2 max(n, d))	41.7947
Wilson norm (sopfr(nd))	85
Comma size	medium
	Open this interval in xen-calc

Latest revision as of 11:19, 21 February 2026

The shibboleth comma (monzo: [-5 -10 9⟩, ratio: 1953125/1889568) is a medium 5-limit comma measuring about 57.3 cents. It equates nine just minor thirds ((6/5)⁹) with a double compound fourth (16/3), or a stack of five 25/18's with 5/1. Tempering out this comma leads to the shibboleth temperament.

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-|Ratio = 1953125/1889568
+| Ratio = 1953125/1889568
-|Name = shibboleth comma
+| Name = shibboleth comma
-|Color name = y<sup>9</sup>-2, tritriyo negative 2nd
+| Color name = y<sup>9</sup>-2, tritriyo negative 2nd
-|Comma = yes
+| Comma = yes
 }}
-The '''shibboleth comma''' ([[monzo]]: {{monzo|-5 -10 9}}, [[ratio]]: 1953125/1889568) is a [[medium comma|medium]] [[5-limit]] [[comma]] measuring about 57.3 [[cent]]s. It equates nine [[6/5|just minor thirds (6/5)]] with a [[16/3|double compound fourth (16/3)]], or a stack of five [[25/18]]s with [[5/1]]. Tempering out this comma leads to the [[shibboleth family]].
+The '''shibboleth comma''' ([[monzo]]: {{monzo| -5 -10 9 }}, [[ratio]]: 1953125/1889568) is a [[medium comma|medium]] [[5-limit]] [[comma]] measuring about 57.3 [[cent]]s. It equates nine [[6/5|just minor thirds]] ((6/5)<sup>9</sup>) with a [[16/3|double compound fourth (16/3)]], or a stack of five [[25/18]]'s with [[5/1]]. [[Tempering out]] this comma leads to the [[shibboleth]] temperament.
-[[Category:Todo:expand]]
+[[Category:Shibboleth]]
 [[Category:Commas with unknown etymology]]