Countercentisma: Difference between revisions
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The '''countercentisma''' is an [[11-limit]] [[unnoticeable comma]] which is the difference between 300 [[4-cent comma]]s and the [[octave]]. Tempering out this comma results in the ''countercentismic'' | The '''countercentisma''' is an [[11-limit]] [[unnoticeable comma]] which is the difference between 300 [[4-cent comma]]s 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 [[microtemperament]]s that make the 4-cent comma (which is 4.0004729 cents) exactly 4 cents or 1 step of [[300edo]]. The comma was named by [[User:CompactStar|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. | ||
Revision as of 05:55, 26 February 2024
| Interval information |
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.