Archytas family: Difference between revisions

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 = Archytas =
-Period: 1\1
+Subgroup: 2.3.5.7
-Optimal ([[POTE]]) generators: ~3/2 = 709.3213, ~5/4 = 393.3747
-EDO generators: [[15edo|(9, 5)\15]], [[22edo|(13, 7)\22]], [[27edo|(16, 9)\27]]
-Scales: [[archytas12]], [[archytas12synch]]
-<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
-<div style="line-height:1.6;">Technical data</div>
-<div class="mw-collapsible-content">
 [[Comma list]]: 64/63
-Mapping: [{{val| 1 0 0 6 }}, {{val| 0 1 0 -2 }}, {{val| 0 0 1 0 }}]
+[[Mapping]]: [{{val| 1 0 0 6 }}, {{val| 0 1 0 -2 }}, {{val| 0 0 1 0 }}]
-Mapping [[generator]]s: ~2, ~3, ~5
+Mapping generators: ~2, ~3, ~5
 Map to lattice: [{{val| 0 1 0 -2 }}, {{val| 0 0 1 0 }}]
@@ Line 27: / Line 17: @@
 : Angle (3/2, 5/4) = 90 degrees
-Minimax tuning:
+[[POTE generator]]s: ~3/2 = 709.3213, ~5/4 = 393.3747
+[[Minimax tuning]]:
 * [[7-odd-limit]]
 : [{{monzo| 1 0 0 0 }}, {{monzo| 2 1/3 0 -1/3 }}, {{monzo| 2 -2/3 1 -1/3 }}, {{monzo| 2 -2/3 0 2/3 }}]
@@ Line 37: / Line 29: @@
 {{Val list|legend=1| 5, 7, 10, 12, 15, 22, 27, 49 }}
-</div></div>
+Scales: [[archytas12]], [[archytas12synch]]
 ; Music
-* Chris Vaisvil - [http://micro.soonlabel.com/hobbit_scales/daily201031--hobbit-archytas12.mp3 12 archytas hobbits with ale]
+* Chris Vaisvil – [http://micro.soonlabel.com/hobbit_scales/daily201031--hobbit-archytas12.mp3 12 archytas hobbits with ale]
-* Joel Taylor - [http://micro.soonlabel.com/gene_ward_smith/Others/Taylor/Archytas12%20sync%20Study%203.mp3 Portrait of a Tragedy (Death of a Son) - Archytas12 sync Study 3]
+* Joel Taylor – [http://micro.soonlabel.com/gene_ward_smith/Others/Taylor/Archytas12%20sync%20Study%203.mp3 Portrait of a Tragedy (Death of a Son) - Archytas12 sync Study 3]
 = Ares =
-Period: 1\1
+Subgroup: 2.3.5.7.11
-Optimal ([[POTE]]) generators: ~3/2 = 709.6869, ~5/4 = 391.4507
-EDO generators: [[15edo|(9, 5)\15]], [[22edo|(13, 7)\22]], [[27edo|(16, 9)\27]]
-Scales: [[ares12]]
-<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
-<div style="line-height:1.6;">Technical data</div>
-<div class="mw-collapsible-content">
 [[Comma list]]: 64/63, 100/99
-Mapping: [{{val| 1 0 0 6 2 }}, {{val| 0 1 0 -2 -2 }}, {{val| 0 0 1 0 2 }}]
+[[Mapping]]: [{{val| 1 0 0 6 2 }}, {{val| 0 1 0 -2 -2 }}, {{val| 0 0 1 0 2 }}]
-Mapping [[generator]]s: ~2, ~3, ~5
+Mapping generators: ~2, ~3, ~5
 Map to lattice: [{{val| 0 1 1 -2 0 }}, {{val| 0 0 -1 0 -2 }}]
@@ Line 68: / Line 50: @@
 : 3/2 length = 0.9878, 6/5 length = 1.4312
 : Angle (3/2, 6/5) = 75.0475 degrees
+[[POTE generator]]s: ~3/2 = 709.6869, ~5/4 = 391.4507
 [[Minimax tuning]]:
@@ Line 76: / Line 60: @@
 {{Val list|legend=1| 12, 15, 22, 27e, 34d, 49 }}
-Badness: 0.469 × 10<sup>-3</sup>
+[[Badness]]: 0.469 × 10<sup>-3</sup>
-</div></div>
+Scales: [[ares12]]
 = Vulcan =
-Period: 1\1
+Subgroup: 2.3.5.7.11
-Optimal ([[POTE]]) generators: ~3/2 = 710.9720, ~5/4 = 401.2699
+[[Comma list]]: 56/55, 64/63
-EDO generators: [[10edo|(6, 3)\10]], [[15edo|(9, 5)\15]], [[17edo|(10, 6)\17]]
+[[Mapping]]: [{{val| 1 0 0 6 9 }}, {{val| 0 1 0 -2 -2 }}, {{val| 0 0 1 0 -1 }}]
-Scales:
+Mapping generators: ~2, ~3, ~5
-<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
+[[POTE generator]]s: ~3/2 = 710.9720, ~5/4 = 401.2699
-<div style="line-height:1.6;">Technical data</div>
-<div class="mw-collapsible-content">
-Comma list: 56/55, 64/63
-Mapping: [{{val| 1 0 0 6 9 }}, {{val| 0 1 0 -2 -2 }}, {{val| 0 0 1 0 -1 }}]
-Mapping generators: ~2, ~3, ~5
 {{Val list|legend=1| 5, 10, 12, 15, 27e }}
-Badness: 0.577 × 10<sup>-3</sup>
+[[Badness]]: 0.577 × 10<sup>-3</sup>
-</div></div>
 [[Category:Theory]]