Counterschisma

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Interval information
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 1.6613251¢
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{n\cdot d}[/math])
~2.40992 bits
Comma size unnoticeable
open this interval in xen-calc

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].

See also

Notes