Maja family: Difference between revisions

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-The '''maja family''' tempers out the maja comma, {{monzo|-3 -23 17}} = 762939453125/753145430616.
+{{Technical data page}}
+The '''maja family''' of [[Rank-2 temperament|rank-2]] [[temperament]]s [[Tempering out|tempers out]] the [[maja comma]], {{monzo| -3 -23 17 }} = 762939453125/753145430616.
+Maja was named by [[Petr Pařízek]] in 2011 for 13/10 is a generator and that ''M'' and ''J'' are the 13th letter and the 10th letter, respectively<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101780.html Yahoo! Tuning Group | ''Suggested names for the unclasified temperaments'']</ref>. It is unrelated to either the [[interval quality|major quality]] or [[magic|magic temperament]].
 == Maja ==
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 [[Comma list]]: 762939453125/753145430616
-[[POTE generator]]: ~125/81 = 747.198
+{{Mapping|legend=1| 1 8 11 | 0 -17 -23 }}
-[[Mapping]]: [{{val|1 8 11}}, {{val|0 -17 -23}}]
+[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~125/81 = 747.198
 {{Optimal ET sequence|legend=1| 8, 45, 53, 432, 485, 538, 591, 644, 697, 750, 803c }}
@@ Line 14: / Line 17: @@
 [[Badness]]: 0.361013
-=== 7-limit ===
+== Septimal maja ==
-Subgroup: 2.3.5.7
+[[Subgroup]]: 2.3.5.7
 [[Comma list]]: 2430/2401, 3125/3087
-[[Mapping]]: [{{val|1 8 11 13}}, {{val|0 -17 -23 -27}}]
+{{Mapping|legend=1| 1 8 11 13 | 0 -17 -23 -27 }}
-{{Multival|legend=1| 17 23 27 -3 -5 -2 }}
-[[POTE generator]]: ~125/81 = 747.145
+[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~54/35 = 747.145
 {{Optimal ET sequence|legend=1| 8d, 45, 53 }}
@@ Line 34: / Line 35: @@
 Comma list: 99/98, 121/120, 3125/3087
-Mapping: [{{val|1 8 11 13 11}}, {{val|0 -17 -23 -27 -20}}]
+Mapping: {{mapping| 1 8 11 13 11 | 0 -17 -23 -27 -20 }}
-POTE generator: ~77/50 = 747.100
+Optimal tuning (POTE): ~2 = 1\1, ~54/35 = 747.100
 {{Optimal ET sequence|legend=1| 8d, 45e, 53 }}
@@ Line 47: / Line 48: @@
 Comma list: 99/98, 121/120, 169/168, 275/273
-Mapping: [{{val|1 8 11 13 11 12}}, {{val|0 -17 -23 -27 -20 -22}}]
+Mapping: {{mapping| 1 8 11 13 11 12 | 0 -17 -23 -27 -20 -22 }}
-POTE generator: ~20/13 = 747.095
+Optimal tuning (POTE): ~2 = 1\1, ~20/13 = 747.095
 {{Optimal ET sequence|legend=1| 8d, 45ef, 53 }}
@@ Line 56: / Line 57: @@
 == Majo ==
-Subgroup: 2.3.5.7
+[[Subgroup]]: 2.3.5.7
 [[Comma list]]: 6144/6125, 1250000/1240029
-[[Mapping]]: [{{val|1 8 11 -7}}, {{val|0 -17 -23 26}}]
+{{Mapping|legend=1| 1 8 11 -7 | 0 -17 -23 26 }}
-{{Multival|legend=1|17 23 -26 -3 -89 -125}}
-[[POTE generator]]: ~125/81 = 747.264
+[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~125/81 = 747.264
 {{Optimal ET sequence|legend=1| 53, 167, 220, 493bd, 713bdd }}
@@ Line 75: / Line 74: @@
 Comma list: 2200/2187, 3388/3375, 6144/6125
-Mapping: [{{val|1 8 11 -7 31}}, {{val|0 -17 -23 26 -73}}]
+Mapping: {{mapping| 1 8 11 -7 31 | 0 -17 -23 26 -73 }}
-POTE generator: ~77/50 = 747.287
+Optimal tuning (POTE): ~2 = 1\1, ~77/50 = 747.287
 {{Optimal ET sequence|legend=1| 53, 114e, 167, 220, 387bd }}
@@ Line 88: / Line 87: @@
 Comma list: 325/324, 352/351, 1001/1000, 2704/2695
-Mapping: [{{val|1 8 11 -7 31 12}}, {{val|0 -17 -23 26 -73 -22}}]
+Mapping: {{mapping| 1 8 11 -7 31 12 | 0 -17 -23 26 -73 -22 }}
-POTE generator: ~20/13 = 747.286
+Optimal tuning (POTE): ~2 = 1\1, ~20/13 = 747.286
 {{Optimal ET sequence|legend=1| 53, 114e, 167, 220, 387bd }}
 Badness: 0.043128
+== Notes ==
 [[Category:Temperament families]]
+[[Category:Pages with mostly numerical content]]
 [[Category:Maja family| ]] <!-- main article -->
+[[Category:Maja| ]] <!-- key article -->
 [[Category:Rank 2]]