Shibboleth comma: Difference between revisions

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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)]]. 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)]] 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]].


[[Category:Todo:expand]]
[[Category:Todo:expand]]
[[Category:Commas with unknown etymology]]
[[Category:Commas with unknown etymology]]

Latest revision as of 02:30, 21 August 2025

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 height (log2 nd) 41.747
Weil height (log2 max(n, d)) 41.7947
Wilson height (sopfr(nd)) 85
Comma size medium
Open this interval in xen-calc

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) with a double compound fourth (16/3), or a stack of five 25/18s with 5/1. Tempering out this comma leads to the shibboleth family.