Meantone family: Difference between revisions

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 Optimal ([[POTE]]) generator: ~8/7 = 252.635
-EDO generators: [[19edo|4\19]], [[24edo|5\24]], [[43edo|9\43]], [[62edo|13\62]]
+EDO generators: [[14edo|3\14]], [[19edo|4\19]], [[24edo|5\24]], [[33edo|7\33]], [[43edo|9\43]]
 Scales (Scala files):
@@ Line 1,050: / Line 1,050: @@
 | 5
 | 63.2
-|
+| 21/20, 28/27
 |-
 | 6
@@ Line 1,088: / Line 1,088: @@
 == 11-limit ==
-Commas: 45/44, 49/48, 81/80
-valid range: [252.632, 257.143] (19 to 14c)
+Period: 1\1
-nice range: [231.174, 266.871]
+Optimal ([[POTE]]) generator: ~8/7 = 254.027
-strict range: [252.632, 257.143]
+EDO generators: [[14edo|3\14]], [[19edo|4\19]], [[33edo|7\33]]
-POTE generator: ~8/7 = 254.027
+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: 45/44, 49/48, 81/80
+Mapping: [{{val| 1 0 -4 2 -6 }}, {{val| 0 2 8 1 12 }}]
-Mapping generator: ~7/4
+Mapping generators: ~2, ~7/4
-Map: [&lt;1 0 -4 2 -6|, &lt;0 2 8 1 12|]
+Tuning ranges:
+* valid range: [252.632, 257.143] (19 to 14c)
+* nice range: [231.174, 266.871]
+* strict range: [252.632, 257.143]
 {{Vals|legend=1| 14c, 19, 33cd, 52cd }}
 Badness: 0.0290
+</div></div>
 === 13-limit ===
-Commas: 45/44, 49/48, 78/77, 81/80
-valid range: 694.737 (19)
+Period: 1\1
-nice range: [621.581, 737.652]
+Optimal ([[POTE]]) generator: ~8/7 = 253.603
-strict range: 694.737
+EDO generators: [[19edo|4\19]]
-POTE generator: ~8/7 = 253.603
+Scales (Scala files):
-Mapping generator: ~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">
+Comma list: 45/44, 49/48, 78/77, 81/80
-Map: [&lt;1 0 -4 2 -6 -5|, &lt;0 2 8 1 12 11|]
+Mapping: [{{val| 1 0 -4 2 -6 -5 }}, {{val| 0 2 8 1 12 11 }}]
+Mapping generators: ~2, ~7/4
+Tuning ranges:
+* valid range: 694.737 (19)
+* nice range: [621.581, 737.652]
+* strict range: 694.737
 {{Vals|legend=1| 14cf, 19, 33cdff, 52cdf }}
 Badness: 0.0225
+</div></div>
 == Semafour ==
-Commas: 33/32, 49/48, 55/54
-POTE generator: ~8/7 = 254.042
+Period: 1\1
+Optimal ([[POTE]]) generator: ~8/7 = 254.042
+EDO generators: [[14edo|3\14]], [[19edo|4\19]]
+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: 33/32, 49/48, 55/54
-Mapping generator: ~7/4
+Mapping: [{{val| 1 0 -4 2 5 }}, {{val| 0 2 8 1 -2 }}]
-Map: [&lt;1 0 -4 2 5|, &lt;0 2 8 1 -2|]
+Mapping generators: ~2, ~7/4
 {{Vals|legend=1| 14c, 19e, 33cdee }}
 Badness: 0.0285
+</div></div>
 == Varan ==
-Commas: 49/48, 77/75, 81/80
-POTE generator: ~8/7 = 251.079
+Period: 1\1
-Mapping generator: ~7/4
+Optimal ([[POTE]]) generator: ~8/7 = 251.079
-Map: [&lt;1 0 -4 2 -10|, &lt;0 2 8 1 17|]
+EDO generators: [[19edo|4\19]], [[24edo|5\24]], [[43edo|9\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: 49/48, 77/75, 81/80
+Mapping: [{{val| 1 0 -4 2 -10 }}, {{val| 0 2 8 1 17 }}]
+Mapping generators: ~2, ~7/4
 {{Vals|legend=1| 19e, 24, 43de }}
 Badness: 0.0396
+</div></div>
 === 13-limit ===
-Commas: 49/48, 66/65, 77/75, 81/80
-POTE generator: ~8/7 = 251.165
+Period: 1\1
+Optimal ([[POTE]]) generator: ~8/7 = 251.165
+EDO generators: [[19edo|4\19]], [[24edo|5\24]], [[43edo|9\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: 49/48, 66/65, 77/75, 81/80
-Mapping generator: ~7/4
+Mapping: [{{val| 1 0 -4 2 -10 -5 }}, {{val| 0 2 8 1 17 11 }}]
-Map: [&lt;1 0 -4 2 -10 -5|, &lt;0 2 8 1 17 11|]
+Mapping generators: ~2, ~7/4
 {{Vals|legend=1| 19e, 24, 43de }}
 Badness: 0.0257
+</div></div>
 == Baragon ==
-Commas: 49/48, 56/55, 81/80
-POTE generator: ~8/7 = 251.173
+Period: 1\1
+Optimal ([[POTE]]) generator: ~8/7 = 251.173
+EDO generators: [[19edo|4\19]], [[24edo|5\24]], [[43edo|9\43]]
+Scales (Scala files):
-Mapping generator: ~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">
+Comma list: 49/48, 56/55, 81/80
-Map: [&lt;1 0 -4 2 9|, &lt;0 2 8 1 -7|]
+Mapping: [{{val| 1 0 -4 2 9 }}, {{val| 0 2 8 1 -7 }}]
+Mapping generators: ~2, ~7/4
 {{Vals|legend=1| 19, 24, 43d }}
 Badness: 0.0357
+</div></div>
 == Music ==