Countercentisma

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Interval information

Factorization	2-1 × 3-3300 × 52700 × 11-300
Monzo	[-1 -3300 2700 0 -300⟩
Size in cents	0.1418698¢
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{nd}[/math])	~1.1984 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

• Unnoticeable comma