Shibboleth comma
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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]\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
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.41213 bits
Comma size
medium
open this interval in xen-calc
Interval information |
(Shannon, [math]\sqrt{nd}[/math])
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). Tempering out this comma leads to the shibboleth family.