Horwell temperaments: Difference between revisions

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 Horwell temperaments temper out the horwell comma, |-16 1 5 1&gt; = 65625/65536.
-=Fifthplus=
+= Mutt =
-Commas: 65625/65536, 420175/419904
+{{Main|Mutt family}}
-POTE generator: ~5488/3645 = 708.774
+[[Comma list]]: {{monzo| -44 -3 21 }} (the [[mutt comma]])
-Map: [&lt;1 11 -3 20|, &lt;0 -23 13 -42|]
+[[Mapping]]: [&lt;3 5 7|, &lt;0 -7 -1|]
-Wedgie: &lt;&lt;23 -13 42 -74 2 134||
+[[POTE tuning|POTE generator]]: ~5/4 = 385.980
-EDOs: 22, 149, 171, 1903c, 2074c, 2245c, 2416c, 2587c, 2758c, 2929c, 3100c, 3271c, 3442c, 3613c
+{{Val list|legend=1| 84, 87, 171, 771, 942, 1113, 1284, 1455 }}
-Badness: 0.0258
+[[Badness]]: 0.162467
-=Emkay=
+== 7-limit ==
-Commas: 65625/65536, 244140625/243045684
+Comma list: 65625/65536, 250047/250000
-POTE generator: ~3125/2268 = 551.775
+Wedgie: &lt;&lt;21 3 -36 -44 -116 -92||
-Map: [&lt;1 14 6 -28|, &lt;0 -27 -8 67|]
+Mapping: [&lt;3 5 7 8|, &lt;0 -7 -1 12|]
-Wedgie: &lt;&lt;27 8 -67 -50 -182 -178||
+POTE generator: ~5/4 = 385.964
-EDOs: 87, 137, 224, 311, 535
+Vals: {{Val list| 84, 87, 171 }}
-Badness: 0.1357
+Badness: 0.028406
-==11-limit==
+= Fifthplus =
-Commas: 3025/3024, 4000/3993, 65625/65536
+[[Comma list]]: 65625/65536, 420175/419904
-POTE generator: ~11/8 = 551.775
+[[POTE tuning|POTE generator]]: ~5488/3645 = 708.774
-Map: [&lt;1 14 6 -28 3|, &lt;0 -27 -8 67 1|]
+[[Mapping]]: [&lt;1 11 -3 20|, &lt;0 -23 13 -42|]
-EDOs: 87, 137, 224, 311, 535
+[[Wedgie]]: &lt;&lt;23 -13 42 -74 2 134||
-Badness: 0.0356
+{{Val list|legend=1| 22, 149, 171, 1903c, 2074c, 2245cd, 2416cd, 2587cd, 2758cd, 2929cd, 3100cd, 3271ccd, 3442ccd, 3613ccd }}
-==13-limit==
+[[Badness]]: 0.025840
-Commas: 625/624, 1575/1573, 2080/2079, 2200/2197
-POTE generator: ~11/8 = 551.775
+= Emkay =
+{{See also|Hemimean clan#Emka}}
-Map: [&lt;1 14 6 -28 3 6|, &lt;0 -27 -8 67 1 -5|]
+[[Comma list]]: 65625/65536, 244140625/243045684
-EDOs: 87, 137, 224, 311, 535
+[[POTE tuning|POTE generator]]: ~3125/2268 = 551.7745
-Badness: 0.0179
+[[Mapping]]: [&lt;1 14 6 -28|, &lt;0 -27 -8 67|]
-=Oquatonic=
+[[Wedgie]]: &lt;&lt;27 8 -67 -50 -182 -178||
-Commas: 65625/65536, 390625/388962
-POTE generator: ~126/125 = 16.3994
+{{Val list|legend=1| 87, 137, 224, 311, 535, 1381c, 1916c }}
-Map: [&lt;28 44 65 79|, &lt;0 1 0 -1|]
+[[Badness]]: 0.135696
-EDOs: 28, 56, 84, 140, 196, 224, 308, 364
+== 11-limit ==
+Comma list: 3025/3024, 4000/3993, 65625/65536
+POTE generator: ~11/8 = 551.7746
+Mapping: [&lt;1 14 6 -28 3|, &lt;0 -27 -8 67 1|]
+Vals: {{Val list| 87, 137, 224, 311, 535, 1381ce, 1916ce }}
+Badness: 0.035586
+== 13-limit ==
+Comma list: 625/624, 1575/1573, 2080/2079, 2200/2197
+POTE generator: ~11/8 = 551.7749
+Mapping: [&lt;1 14 6 -28 3 6|, &lt;0 -27 -8 67 1 -5|]
+Vals: {{Val list| 87, 137, 224, 311, 535, 1916cef, 2451cceff, 2986cceeff }}
+Badness: 0.017853
+= Oquatonic =
+[[Comma list]]: 65625/65536, 390625/388962
+[[POTE tuning|POTE generator]]: ~126/125 = 16.3994
+[[Mapping]]: [&lt;28 44 65 79|, &lt;0 1 0 -1|]
+[[Wedgie]]: &lt;&lt;28 0 -28 -65 -123 -65||
+{{Val list|legend=1| 28, 56, 84, 140, 224, 364, 588, 952 }}
+[[Badness]]: 0.088286
+[[Category:Temperament]]
 [[Category:Horwell]]
+[[Category:Rank 2]]