Countercentisma
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Factorization | 2^{-1} × 3^{-3300} × 5^{2700} × 11^{-300} |
Monzo | [-1 -3300 2700 0 -300⟩ |
Size in cents | 0.14186985¢ |
Name | countercentisma |
Special properties | reduced |
Tenney height (log_{2} nd) | 12538.4 |
Weil height (log_{2} max(n, d)) | 12538.4 |
Wilson height (sopfr (nd)) | 26702 |
Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~2.39758 bits |
Comma size | unnoticeable |
open this interval in xen-calc |
The countercentisma is an 11-limit unnoticeable comma which is the difference between 300 4-cent commas and the octave. Tempering out this comma results in the countercentismic temperament in the full 11-limit or the countercentic temperament in the 2.3.5.11 subgroup, which are both extreme microtemperaments that make the 4-cent comma (which is 4.0004729 cents) exactly 4 cents or 1 step of 300edo. The comma was named by CompactStar in 2024 because it is analogous to the centisma also named by him, which equates 17/12 to exactly 603 cents and 289/288 (the semitonisma or septendecimal 6-cents comma) to exactly 6 cents.