Countercentisma

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Interval information
Factorization 2-1 × 3-3300 × 52700 × 11-300
Monzo [-1 -3300 2700 0 -300
Size in cents 0.14186985¢
Name countercentisma
Special properties reduced
Tenney height (log2 nd) 12538.4
Weil height (log2 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.

See also