Alphaxenic rank three clan: Difference between revisions

(3 intermediate revisions by 3 users not shown)

Line 1:

The '''alphaxenic rank-3 clan''' of ~~temperaments~~ tempers out the [[Alpharabian comma]], {{monzo| -17 2 0 0 4 }} = 131769/131072. Both no-5 alphaxenic and no-7 alphaxenic can be the head of this clan, but we can begin with the rank-4 temperament.

The '''alphaxenic rank-3 clan''' of [[temperament]]s [[tempering out|tempers out]] the [[Alpharabian comma]], {{monzo| -17 2 0 0 4 }} = 131769/131072. Both no-5 alphaxenic and no-7 alphaxenic can be the head of this clan, but we can begin with the rank-4 temperament.

Temperaments discussed elsewhere include:

* [[Uniwiz]] (+385/384) → [[Keenanismic temperaments #Uniwiz|Keenanismic temperaments]]

* ''[[Uniwiz]]'' (+385/384) → [[Keenanismic temperaments #Uniwiz|Keenanismic temperaments]]

== Alphaxenic ==

Line 9:

Line 10:

[[Comma list]]: 131769/131072

~~[[Mapping]]: [~~{{~~val~~| 2 1 0 0 8 ~~}}, {{val~~| 0 2 0 0 -1 ~~}}, {{val~~| 0 0 1 0 0 ~~}}, {{val~~| 0 0 0 1 0 }}]

{{Mapping|legend=1| 2 1 0 0 8 | 0 2 0 0 -1 | 0 0 1 0 0 | 0 0 0 1 0 }}

: mapping generators: ~363/256, ~16/11, ~5, ~7

Line 26:

Line 27:

[[Comma list]]: 243/242, 131769/131072

~~[[Mapping]]: [~~{{~~val~~| 24 38 0 0 83 ~~}}, {{val~~| 0 0 1 0 0 ~~}}, {{val~~| 0 0 0 1 0 }}]

: mapping generators: ~33/32, ~5, ~7

~~{{Multival|legend=1|rank=3| 0 0 0 24 0 0 38 0 0 83 }}~~

[[Optimal tuning]] ([[POTE]]): ~33/32 = 1\24, ~5/4 = 385.0647, ~7/4 = 967.3158

Line 39:

Line 38:

[[Category:Temperament clans]]

[[Category:Pages with mostly numerical content]]

[[Category:Alphaxenic rank-3 clan| ]]

[[Category:Alphaxenic| ]]

[[Category:Rank 3]]

@@ Line 1: / Line 1: @@
-The '''alphaxenic rank-3 clan''' of temperaments tempers out the [[Alpharabian comma]], {{monzo| -17 2 0 0 4 }} = 131769/131072. Both no-5 alphaxenic and no-7 alphaxenic can be the head of this clan, but we can begin with the rank-4 temperament.
+{{Technical data page}}
+The '''alphaxenic rank-3 clan''' of [[temperament]]s [[tempering out|tempers out]] the [[Alpharabian comma]], {{monzo| -17 2 0 0 4 }} = 131769/131072. Both no-5 alphaxenic and no-7 alphaxenic can be the head of this clan, but we can begin with the rank-4 temperament.
 Temperaments discussed elsewhere include:
-* [[Uniwiz]] (+385/384) → [[Keenanismic temperaments #Uniwiz|Keenanismic temperaments]]
+* ''[[Uniwiz]]'' (+385/384) → [[Keenanismic temperaments #Uniwiz|Keenanismic temperaments]]
 == Alphaxenic ==
@@ Line 9: / Line 10: @@
 [[Comma list]]: 131769/131072
-[[Mapping]]: [{{val| 2 1 0 0 8 }}, {{val| 0 2 0 0 -1 }}, {{val| 0 0 1 0 0 }}, {{val| 0 0 0 1 0 }}]
+{{Mapping|legend=1| 2 1 0 0 8 | 0 2 0 0 -1 | 0 0 1 0 0 | 0 0 0 1 0 }}
 : mapping generators: ~363/256, ~16/11, ~5, ~7
@@ Line 26: / Line 27: @@
 [[Comma list]]: 243/242, 131769/131072
-[[Mapping]]: [{{val| 24 38 0 0 83 }}, {{val| 0 0 1 0 0 }}, {{val| 0 0 0 1 0 }}]
+{{Mapping|legend=1| 24 38 0 0 83 | 0 0 1 0 0 | 0 0 0 1 0 }}
 : mapping generators: ~33/32, ~5, ~7
-{{Multival|legend=1|rank=3| 0 0 0 24 0 0 38 0 0 83 }}
 [[Optimal tuning]] ([[POTE]]): ~33/32 = 1\24, ~5/4 = 385.0647, ~7/4 = 967.3158
@@ Line 39: / Line 38: @@
 [[Category:Temperament clans]]
+[[Category:Pages with mostly numerical content]]
 [[Category:Alphaxenic rank-3 clan| ]] <!-- main article -->
+[[Category:Alphaxenic| ]] <!-- key article -->
 [[Category:Rank 3]]