Revopentisma: Difference between revisions

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Revopentisma is a 7-limit (and also 2.3.7 subgroup) unnoticeable comma associated with very high accuracy temperaments.

== Theory ==

Revopentisma ~~arises out of temperament-merging 1848edo~~ and ~~3125edo~~ in the 7-~~limit, as both of these edos are very precise in that limit~~. The associated temperament is named '''revopent''', and it's remarkable in its short generator chains for edos in the thousands, with 7/4 being just four generators down and 3/2 being just nineteen, with octave reduction. Tempering it out in the full 7-limit produces rank-3 '''revopentismic''' temperament, as well as the 2.3.7 rank-2 '''revopentic''' temperament. The rank-2 revopent temperament adds mapping for 5 where it is reached in 287 generators.

Revopentisma is the comma shared by [[31edo]] and [[270edo]] in the [[2.3.7 subgroup]] and is notable as supported by many [[mega-edo]]s. The [[Very high accuracy temperaments#Revopentic (2.3.7)|associated temperament]] is named '''revopent''', and it's remarkable in its short generator chains for edos in the thousands, with 7/4 being just four generators down and 3/2 being just nineteen, with octave reduction. Tempering it out in the full 7-limit produces rank-3 '''revopentismic''' temperament, as well as the 2.3.7 rank-2 '''revopentic''' temperament. The rank-2 revopent temperament adds mapping for 5 where it is reached in 287 generators.

== Etymology ==

Comma's name is derived from two edos in the temperament-merging, number 1848 being associated with a year with a large number of revolutions in Europe, and 3125 being equal to 5 to the power of 5, hence pent- meaning five.

@@ Line 7: / Line 7: @@
 Revopentisma is a 7-limit (and also 2.3.7 subgroup) unnoticeable comma associated with very high accuracy temperaments.
 == Theory ==
-Revopentisma arises out of temperament-merging 1848edo and 3125edo in the 7-limit, as both of these edos are very precise in that limit. The associated temperament is named '''revopent''', and it's remarkable in its short generator chains for edos in the thousands, with 7/4 being just four generators down and 3/2 being just nineteen, with octave reduction. Tempering it out in the full 7-limit produces rank-3 '''revopentismic''' temperament, as well as the 2.3.7 rank-2 '''revopentic''' temperament. The rank-2 revopent temperament adds mapping for 5 where it is reached in 287 generators.
+Revopentisma is the comma shared by [[31edo]] and [[270edo]] in the [[2.3.7 subgroup]] and is notable as supported by many [[mega-edo]]s. The [[Very high accuracy temperaments#Revopentic (2.3.7)|associated temperament]] is named '''revopent''', and it's remarkable in its short generator chains for edos in the thousands, with 7/4 being just four generators down and 3/2 being just nineteen, with octave reduction. Tempering it out in the full 7-limit produces rank-3 '''revopentismic''' temperament, as well as the 2.3.7 rank-2 '''revopentic''' temperament. The rank-2 revopent temperament adds mapping for 5 where it is reached in 287 generators.
 == Etymology ==
 Comma's name is derived from two edos in the temperament-merging, number 1848 being associated with a year with a large number of revolutions in Europe, and 3125 being equal to 5 to the power of 5, hence pent- meaning five.