Trisedodge family: Difference between revisions

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-The trisedodge family tempers out the trisedodge comma, 30958682112/30517578125 = |19 10 -15&gt;.
+The '''trisedodge family''' tempers out the trisedodge comma, 30958682112/30517578125 = {{monzo| 19 10 -15 }}.
-=Trisedodge=
+= Trisedodge =
-Comma: 30958682112/30517578125
+Subgroup: 2.3.5
+Comma list: 30958682112/30517578125
+Mapping: [{{val| 5 7 11 }}, {{val| 0 3 2 }}]
 POTE generator: ~25/24 = 74.0077
-Map: [&lt;5 7 11|, &lt;0 3 2|]
+{{Val list|legend=1| 15, 50, 65, 340c, 405c, 470c, 535c, 600c }}
+= 7-limit =
+Subgroup: 2.3.5.7
+[[Comma list]]: 4000/3969, 110592/109375
+[[Mapping]]: [{{val| 5 7 11 15 }}, {{val| 0 3 2 -3 }}]
-EDOs: [[15edo|15]], [[50edo|50]], [[65edo|65]], [[80edo|80]], [[95edo|95]], [[115edo|115]], [[145edo|145]]
+[[POTE generator]]: ~25/24 = 74.9480
-==7-limit==
+{{Val list|legend=1| 15, 50d, 65d, 80 }}
-Commas: 4000/3969, 110592/109375
-POTE generator: ~25/24 = 74.9480
+== 11-limit ==
-Map: [&lt;5 7 11 15|, &lt;0 3 2 -3|]
+Subgroup: 2.3.5.7.11
-EDOs: 15, 50d, 65d, 80, 95
+Comma list: 176/175, 1331/1323, 2560/2541
-==11-limit==
+Mapping: [{{val| 5 7 11 15 17 }}, {{val| 0 3 2 -3 1 }}]
-Commas: 176/175, 1331/1323, 2560/2541
 POTE generator: ~25/24 = 74.9401
-Map: [&lt;5 7 11 15 17|, &lt;0 3 2 -3 1|]
+{{Val list|legend=1| 15, 50d, 65d, 80 }}
+= Coblack =
+{{see also| Starling temperaments #Coblack }}
+In addition to 126/125, the coblack temperament tempers out the [[cloudy comma]], 16807/16384, which is the amount by which five septimal supermajor seconds ([[8/7]]) fall short of an octave.
+Subgroup: 2.3.5.7
+[[Comma list]]: 126/125, 16807/16384
+[[POTE generator]]: ~21/20 = 73.044
+[[Mapping]]: [{{val| 5 1 7 14 }}, {{val| 0 3 2 0 }}]
+{{Val list|legend=1| 15, 35, 50, 65, 115d }}
+[[Badness]]: 0.1073
-EDOs: 15, 50d, 65d, 80, 95
+== 11-limit ==
-=[[Starling temperaments|Coblack]]=
+Subgroup: 2.3.5.7.11
-Commas: 126/125, 16807/16384
-POTE generator: ~21/20 = 73.0444
+Comma list: 126/125, 245/242, 385/384
-Map: [&lt;5 7 11 14|, &lt;0 3 2 0|]
+POTE generator: ~21/20 = 73.264
-EDOs: 15, 35, 50, 65, 80d
+Mapping: [{{val| 5 1 7 14 15 }}, {{val| 0 3 2 0 1 }}]
-==11-limit==
+{{Val list|legend=1| 15, 35, 50, 65, 115d }}
-Commas: 126/125, 245/242, 385/384
-POTE generator: ~21/20 = 73.2640
+= Quindecic =
-Map: [&lt;5 7 11 14 17|, &lt;0 3 2 0 1|]
+Subgroup: 2.3.5.7.11.13
-EDOs: 15, 35, 50, 65, 80d
+Comma list: 28/27, 49/48, 55/54, 77/75
-=Quindecic=
+Map: [{{val| 15 24 35 42 52 0 }}, {{val| 0 0 0 0 0 1 }}]
-Commas: 28/27, 49/48, 55/54, 77/75
 POTE generator: ~66/65 = 27.0764
-Map: [&lt;15 24 35 42 52 0|, &lt;0 0 0 0 0 1|]
+{{Val list|legend=1| 15, 30 }}
-EDOs: 15, 30
+[[Category:Regular temperament theory]]
+[[Category:Temperament family]]
+[[Category:Trisedodge]]
+[[Category:Rank 2]]