Schismatic family: Difference between revisions

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@@ Line 297: / Line 297: @@
 Badness: 0.0175
-=Squirrel=
+= Squirrel =
-Commmas: 686/675, 32805/32768
+[[Comma list]]: 686/675, 32805/32768
-POTE generator: ~160/147 = 166.140
+[[POTE generator]]: ~160/147 = 166.140
-Map: [&lt;1 2 -1 1|, &lt;0 -3 24 13|]
+[[Mapping]]: [{{val| 1 2 -1 1 }}, {{val| 0 -3 24 13 }}]
-EDOs: 29, 36, 65
+{{Val list|legend=1| 29, 36, 65 }}
-Badness: 0.1747
+[[Badness]]: 0.1747
-==11-limit==
+== 11-limit ==
-Commas: 245/242, 686/675, 896/891
+Comma list: 245/242, 686/675, 896/891
 POTE generator: ~11/10 = 166.097
-Map: [&lt;1 2 -1 1 0|, &lt;0 -3 24 13 25|]
+Mapping: [{{val| 1 2 -1 1 0 }}, {{val| 0 -3 24 13 25 }}]
-EDOs: 29, 36, 65
+{{Val list|legend=1| 29, 36, 65 }}
 Badness: 0.0683
-==13-limit==
+== 13-limit ==
-Commas: 91/90, 169/168, 245/242, 896/891
+Comma list: 91/90, 169/168, 245/242, 896/891
 POTE generator: ~11/10 = 166.054
-Map: [&lt;1 2 -1 1 0 3|, &lt;0 -3 24 13 25 5|]
+Mapping: [{{val| 1 2 -1 1 0 3 }}, {{val| 0 -3 24 13 25 5 }}]
-EDOs: 29, 36, 65f, 94df, 159df
+{{Val list|legend=1| 29, 36, 65f, 94df, 159df }}
 Badness: 0.0437
-=Schism=
+= Schism =
-Commas: 64/63, 360/343
+{{see also| Archytas clan #Schism }}
-POTE generator: ~3/2 = 701.556
+[[Comma list]]: 64/63, 360/343
-Mapping generator: ~3
+[[POTE generator]]: ~3/2 = 701.556
-Map: [&lt;1 0 15 6|, &lt;0 1 -8 -2|]
+[[Mapping]]: [{{val| 1 0 15 6 }}, {{val| 0 1 -8 -2 }}]
-Wedgie: &lt;&lt;1 -8 -2 -15 -6 18||
+Mapping generators: ~2, ~3
-EDOs: 12, 29d, 41d, 53d
+{{Multival|legend=1| 1 -8 -2 -15 -6 18 }}
-Badness: 0.0566
+{{Val list|legend=1| 12, 29d, 41d, 53d }}
-==11-limit==
+[[Badness]]: 0.0566
-Commas: 45/44, 64/63, 99/98
+== 11-limit ==
+Comma list: 45/44, 64/63, 99/98
 POTE generator ~3/2 = 702.136
-Mapping generator: ~3
+Mapping: [{{val| 1 0 15 6 13 }}, {{val| 0 1 -8 -2 -6 }}]
-Map: [&lt;1 0 15 6 13|, &lt;0 1 -8 -2 -6|]
+Mapping generators: ~2, ~3
-EDOs: 12, 29de, 41de
+{{Val list|legend=1| 12, 29de, 41de }}
 Badness: 0.0375
-=Pontiac=
+= Pontiac =
-Commas: 32805/32768, 4375/4374
+[[Comma list]]: 4375/4374, 32805/32768
--limit minimax:
-[|1 0 0 0&gt;, |74/47 0 -1/47 1/47&gt;, |113/47 0 8/47 -8/47&gt;,
-|113/47 0 -39/47 39/47&gt;<nowiki>]</nowiki>
-Eigenmonzos: 2, 7/5
--limit minimax:
-[|1 0 0 0&gt;, |3/2 1/5 -1/10 0&gt;,
-|3 -8/5 4/5 0&gt;, |-1/2 39/5 -39/10 0&gt;<nowiki>]</nowiki>
-Eigenmonzos: 2, 10/9
-[[POTE_tuning|POTE generator]]: 701.757
-Mapping generator: ~3
-Map: [&lt;1 0 15 -59|, &lt;0 1 -8 39|]
+[[POTE generator]]: ~3/2 = 701.757
-Wedgie: &lt;&lt;1 -8 39 -15 59 113||
+[[Mapping]]: [{{val| 1 0 15 -59 }}, {{val| 0 1 -8 39 }}]
-[[EDO|Edos]]: [[53edo|53]], [[118edo|118]], [[171edo|171]], [[1079edo|1079]], [[1250edo|1250]], [[1421edo|1421]]
+Mapping generators: ~2, ~3
-Badness: 0.0141
+{{Multival|legend=1| 1 -8 39 -15 59 113 }}
-=Grackle=
+[[Minimax tuning]]:
-Commas: 126/125, 32805/32768
+* [[7-odd-limit]]:
+: [{{monzo| 1 0 0 0 }}, {{monzo| 74/47 0 -1/47 1/47 }}, {{monzo| 113/47 0 8/47 -8/47 }}, {{monzo| 113/47 0 -39/47 39/47 }}]
+: Eigenmonzos: 2, 7/5
+* [[9-odd-limit]]:
+: [{{monzo| 1 0 0 0 }}, {{monzo| 3/2 1/5 -1/10 0 }}, {{monzo| 3 -8/5 4/5 0 }}, {{monzo| -1/2 39/5 -39/10 0 }}]
+: Eigenmonzos: 2, 10/9
--limit minimax
+{{Val list|legend=1| 53, 118, 171, 1079, 1250, 1421 }}
-Eigenmonzos: 2, 7/6
+[[Badness]]: 0.0141
--limit minimax
+= Grackle =
+[[Comma list]]: 126/125, 32805/32768
-Eigenmonzos: 2, 9/7
+[[POTE generator]]: ~3/2 = 701.239
-[[POTE_tuning|POTE generator]]: 701.239
+[[Mapping]]: [{{val| 1 0 15 -44 }}, {{val| 0 1 -8 -26 }}]
-Mapping generator: ~3
+Mapping generators: ~2, ~3
-Map: [&lt;1 0 15 -44|, &lt;0 1 -8 -26|]
+{{Multival|legend=1| 1 -8 -26 -15 -44 -38 }}
-Wedgie: &lt;&lt;1 -8 -26 -15 -44 -38||
+[[Minimax tuning]]:
+* [[7-odd-limit]] eigenmonzos: 2, 7/6
+* [[9-odd-limit]] eigenmonzos: 2, 9/7
-[[EDO|Edos]]: [[77edo|77]], [[89edo|89]], [[101edo|101]], [[166edo|166c]], [[243edo|243c]]
+{{Val list|legend=1| 77, 89, 101, 166c, 243c }}
-Badness: 0.0704
+[[Badness]]: 0.0704
 =Bischismic=