Semiporwellisma: Difference between revisions

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{{Infobox Interval

| Ratio = 16384/16335

~~| Monzo = 14 -3 -1 0 -2~~

~~| Cents = 5.1854~~

| Name = semiporwellisma

| Color name =

| Color name = s1uug2, Salulugu comma

| ~~FJS name =~~

| Comma = yes

~~| Sound~~ =

}}

The '''semiporwellisma''', 16384/16335 = {{monzo| 14 -3 -1 0 -2 }} is an [[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.

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 ~~terms of commas~~, 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]]). In the [[31-limit]] it factors into ([[496/495]])⋅([[1024/1023]]) or ([[961/960]])⋅(1024/1023)<sup>2</sup> and gives rise to the [[S-expression]] S31⋅S32<sup>2</sup>.

== Temperaments ==

Tempering it out leads to the rank-4 '''semiporwellismic ~~temperament~~''', ~~where an octave can be split into 33/32~~-[[~~15/8~~]]~~-33/32~~.

[[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 ~~also ==~~

See [[Semiporwellismic clan]] for the [[clan]] of rank-3 temperaments where it is tempered out.

* [[~~Rank-4 temperament #~~Semiporwellismic ~~(16384/16335)~~]]

* [[~~Semiporwellismic~~ clan]]~~, the clan~~ of rank-3 temperaments where it is tempered out

== Etymology ==

* [[~~Small~~ comma]]

This comma was named by [[Flora Canou]] in 2021 after the semiporwell temperament, which in turn derives from [[6144/6125|porwell]], the 7-limit comma shared by [[porcupine]] and [[orwell]].

~~[[Category:11-limit]]~~

~~[[Category:Small comma]]~~

[[Category:Semiporwellismic]]

[[Category:Commas named by combining multiple temperament names]]

[[Category:Commas named after other creatives]]

[[Category:Commas named after compositions]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
 | Ratio = 16384/16335
-| Monzo = 14 -3 -1 0 -2
-| Cents = 5.1854
 | Name = semiporwellisma
-| Color name =
+| Color name = s1uug2, Salulugu comma
-| FJS name =
+| Comma = yes
-| Sound =
 }}
-The '''semiporwellisma''', 16384/16335 = {{monzo| 14 -3 -1 0 -2 }} is an [[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.
+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 terms of commas, 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]]). In the [[31-limit]] it factors into ([[496/495]])⋅([[1024/1023]]) or ([[961/960]])⋅(1024/1023)<sup>2</sup> and gives rise to the [[S-expression]] S31⋅S32<sup>2</sup>.
 == Temperaments ==
-Tempering it out leads to the rank-4 '''semiporwellismic temperament''', where an octave can be split into 33/32-[[15/8]]-33/32.
+[[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 also ==
+See [[Semiporwellismic clan]] for the [[clan]] of rank-3 temperaments where it is tempered out.
-* [[Rank-4 temperament #Semiporwellismic (16384/16335)]]
-* [[Semiporwellismic clan]], the clan of rank-3 temperaments where it is tempered out
+== Etymology ==
-* [[Small comma]]
+This comma was named by [[Flora Canou]] in 2021 after the semiporwell temperament, which in turn derives from [[6144/6125|porwell]], the 7-limit comma shared by [[porcupine]] and [[orwell]].
-[[Category:11-limit]]
-[[Category:Small comma]]
 [[Category:Semiporwellismic]]
+[[Category:Commas named by combining multiple temperament names]]
+[[Category:Commas named after other creatives]]
+[[Category:Commas named after compositions]]