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} × 3^{45} × 5^{-1} |
Monzo | [-69 45 -1⟩ |
Size in cents | 1.6613251¢ |
Name | counterschisma |
FJS name | [math]\text{6d}{-5}_{5}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 142.645 |
Weil height (log_{2} 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]}.