Semiporwellisma: Difference between revisions

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The '''semiporwellisma''', 16384/16335 = {{monzo| 14 -3 -1 0 -2 }} is a [[~~Small~~ comma|small]] [[11-limit]] [[comma]] measuring about 5.19 [[cent]]s, named for it is one of the commas tempered out in the [[semiporwell]] temperament. It is the difference between two instances of [[33/32]], the undecimal quartertone, and [[16/15]], the ~~classic~~ diatonic semitone. It is also the difference between the [[rastma]] and the [[schisma]].

The '''semiporwellisma''' ([[ratio]]: 16384/16335, {{monzo|legend=1| 14 -3 -1 0 -2 }}) is a [[small comma|small]] [[11-limit]] [[comma]] measuring about 5.19 [[cent]]s, named for it is one of the commas tempered out in the [[semiporwell]] temperament. It is the difference between two instances of [[33/32]], the undecimal quartertone, and [[16/15]], the classical diatonic semitone. It is also the difference between the [[rastma]] and the [[schisma]].

In the full 11-limit, it is the difference between [[896/891]] and [[385/384]].

In the full 11-limit, it is the difference between [[896/891]] and [[385/384]]. In the [[13-limit]] it factors into ([[2080/2079]])⋅([[3584/3575]]).

== Temperaments ==

Tempering it out in the full 11-limit leads to the rank-4 semiporwellismic temperament (→ [[Rank-4 temperament #Semiporwellismic (16384/16335)]]), or in the 2.3.5.11 subgroup, the rank-3 semiporwellic temperament. See [[Semiporwellismic clan]] for extensions of semiporwellic.

[[Tempering out]] this comma in the full 11-limit leads to the rank-4 semiporwellismic temperament (→ [[Rank-4 temperament #Semiporwellismic (16384/16335)]]), or in the 2.3.5.11 subgroup, the rank-3 semiporwellic temperament. See [[Semiporwellismic clan]] for extensions of semiporwellic.

== Etymology ==

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 }}
-The '''semiporwellisma''', 16384/16335 = {{monzo| 14 -3 -1 0 -2 }} is a [[Small comma|small]] [[11-limit]] [[comma]] measuring about 5.19 [[cent]]s, named for it is one of the commas tempered out in the [[semiporwell]] temperament. It is the difference between two instances of [[33/32]], the undecimal quartertone, and [[16/15]], the classic diatonic semitone. It is also the difference between the [[rastma]] and the [[schisma]].
+The '''semiporwellisma''' ([[ratio]]: 16384/16335, {{monzo|legend=1| 14 -3 -1 0 -2 }}) is a [[small comma|small]] [[11-limit]] [[comma]] measuring about 5.19 [[cent]]s, named for it is one of the commas tempered out in the [[semiporwell]] temperament. It is the difference between two instances of [[33/32]], the undecimal quartertone, and [[16/15]], the classical diatonic semitone. It is also the difference between the [[rastma]] and the [[schisma]].
-In the full 11-limit, it is the difference between [[896/891]] and [[385/384]].
+In the full 11-limit, it is the difference between [[896/891]] and [[385/384]]. In the [[13-limit]] it factors into ([[2080/2079]])⋅([[3584/3575]]).
 == Temperaments ==
-Tempering it out in the full 11-limit leads to the rank-4 semiporwellismic temperament (→ [[Rank-4 temperament #Semiporwellismic (16384/16335)]]), or in the 2.3.5.11 subgroup, the rank-3 semiporwellic temperament. See [[Semiporwellismic clan]] for extensions of semiporwellic.
+[[Tempering out]] this comma in the full 11-limit leads to the rank-4 semiporwellismic temperament (→ [[Rank-4 temperament #Semiporwellismic (16384/16335)]]), or in the 2.3.5.11 subgroup, the rank-3 semiporwellic temperament. See [[Semiporwellismic clan]] for extensions of semiporwellic.
 == Etymology ==