Meantone family: Difference between revisions

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 Jerome is related to [[20ed5|Hieronymus' tuning]]; the Hieronymus generator is 5<sup>1/20</sup>, or 139.316 cents. While the generator represents both 13/12 and 12/11, the POTE and Hieronymus generators are close to 13/12 in size.
-Commas: 81/80, 17280/16807
+Period: 1\1
-POTE generator: ~54/49 = 139.343
+Optimal (POTE) generator: ~54/49 = 139.343
-Mapping generator: ~54/49
+EDO generators: [[17edo|2\17]], [[26edo|3\26]], [[43edo|5\43]]
-Map: [&lt;1 1 0 2|, &lt;0 5 20 7|]
+Scales (Scala files):
-Wedgie: &lt;&lt;5 30 7 20 -3 -40||
+<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">
-{{Vals|legend=1| 9c, 17c, 26, 43, 69, 112bd }}
+Comma list: 81/80, 17280/16807
+Mapping: [{{val| 1 1 0 2 }}, {{val| 0 5 20 7 }}]
+Mapping generators: ~2, ~54/49
+Wedgie: {{wedgie| 5 30 7 20 -3 -40 }}
+{{Vals|legend=1| 17c, 26, 43, 69, 112bd }}
 Badness: 0.1087
+</div></div>
 == 11-limit ==
-Commas: 81/80, 99/98, 864/847
-POTE generator: ~12/11 = 139.428
+Period: 1\1
+Optimal (POTE) generator: ~12/11 = 139.428
+EDO generators: [[17edo|2\17]], [[26edo|3\26]], [[43edo|5\43]]
-Mapping generator: ~12/11
+Scales (Scala files):
-Map: [&lt;1 1 0 2 3|, &lt;0 5 20 7 4|]
+<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">
-{{Vals|legend=1| 9c, 17c, 26, 43, 69 }}
+Comma list: 81/80, 99/98, 864/847
+Mapping: [{{val| 1 1 0 2 3 }}, {{val| 0 5 20 7 4 }}]
+Mapping generators: ~2, ~12/11
+{{Vals|legend=1| 17c, 26, 43, 69 }}
 Badness: 0.0479
+</div></div>
 == 13-limit ==
-Commas: 78/77, 81/80, 99/98, 144/143
-POTE generator: ~13/12 = 139.387
+Period: 1\1
-Mapping generator: ~12/11
+Optimal (POTE) generator: ~12/11 = 139.387
-Map: [&lt;1 1 0 2 3 3|, &lt;0 5 20 7 4 6|]
+EDO generators: [[17edo|2\17]], [[26edo|3\26]], [[43edo|5\43]]
-{{Vals|legend=1| 9c, 17c, 26, 43, 69 }}
+Scales (Scala files):
+<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: 78/77, 81/80, 99/98, 144/143
+Mapping: [{{val| 1 1 0 2 3 3 }}, {{val| 0 5 20 7 4 6 }}]
+Mapping generators: ~2, ~12/11
+{{Vals|legend=1| 17c, 26, 43, 69 }}
 Badness: 0.0293
+</div></div>
 == 17-limit ==
-Commas: 78/77, 81/80, 99/98, 144/143, 189/187
-POTE generator: ~13/12 = 139.362
+Period: 1\1
+Optimal (POTE) generator: ~12/11 = 139.362
+EDO generators: [[26edo|3\26]], [[43edo|5\43]]
+Scales (Scala files):
+<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: 78/77, 81/80, 99/98, 144/143, 189/187
-Mapping generator: ~12/11
+Mapping: [{{val| 1 1 0 2 3 3 2 }}, {{val| 0 5 20 7 4 6 18 }}]
-Map: [&lt;1 1 0 2 3 3 2|, &lt;0 5 20 7 4 6 18|]
+Mapping generators: ~2, ~12/11
-{{Vals|legend=1| 26, 43, 69 }}
+{{Vals|legend=1| 17cg, 26, 43, 69 }}
 Badness: 0.0209
+</div></div>
 == 19-limit ==
-Commas: 78/77, 81/80, 99/98, 120/119, 135/133, 144/143
-POTE generator: ~13/12 = 139.313
+Period: 1\1
+Optimal (POTE) generator: ~12/11 = 139.313
+EDO generators: [[26edo|3\26]], [[43edo|5\43]]
-Mapping generator: ~12/11
+Scales (Scala files):
-Map: [&lt;1 1 0 2 3 3 2 1|, &lt;0 5 20 7 4 6 18 28|]
+<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">
-{{Vals|legend=1| 26, 43, 69 }}
+Comma list: 78/77, 81/80, 99/98, 120/119, 135/133, 144/143
+Mapping: [{{val| 1 1 0 2 3 3 1 }}, {{val| 0 5 20 7 4 6 28 }}]
+Mapping generators: ~2, ~12/11
+{{Vals|legend=1| 17cgh, 26, 43, 69 }}
 Badness: 0.0182
+</div></div>
 = Meanmag =