Counterschisma
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Ratio
2 954 312 706 550 833 698 643 /
2 951 479 051 793 528 258 560
Factorization
2-69 × 345 × 5-1
Monzo
[-69 45 -1⟩
Size in cents
1.661325¢
Name
counterschisma
Color name
L6g-5, tribilagu negative 5th
FJS name
[math]\text{6d}{-5}_{5}[/math]
Special properties
reduced
Tenney height (log2 nd)
142.645
Weil height (log2 max(n, d))
142.647
Wilson height (sopfr(nd))
278
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~1.22401 bits
Comma size
unnoticeable
open this interval in xen-calc
| Interval information |
2 951 479 051 793 528 258 560
(Shannon, [math]\sqrt{nd}[/math])
The counterschisma is a 5-limit unnoticeable comma measuring about 1.66 cents. While the schisma is the difference between the Pythagorean comma and the syntonic comma, the counterschisma, in contrast, is the difference between the 41-comma and the syntonic comma, or equivalently stated, the difference between the 53-comma and the schisma, making the temperament part of the schismic–Mercator equivalence continuum.
Etymology
This comma was named by Gene Ward Smith in 2003[1].