Ragismic microtemperaments: Difference between revisions

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 The name of chlorine temperament comes from Chlorine, the 17th element.
-Chlorine microtemperament has a period of 1/17 octave. It tempers out the septendecima, |-52 -17 34&gt;, by which 17 chromatic semitones (25/24) fall short of an octave. Possible tunings for chlorine are [[289edo|289]], [[323edo|323]], and [[612edo|612]] EDOs, though its hardly likely anyone could tell the difference. In the 7-limit, 289&amp;323 temperament tempers out |-49 4 22 -3&gt; as well as the ragisma.
+Chlorine temperament has a period of 1/17 octave. It tempers out the septendecima, {{monzo|-52 -17 34}}, by which 17 chromatic semitones (25/24) exceed an octave. This temperament can be described as 289&amp;323 temperament, which tempers out {{monzo|-49 4 22 -3}} as well as the ragisma.
-[[Comma]]: |-52 -17 34&gt;
+[[Comma]]: {{monzo|-52 -17 34}}
-[[Mapping]]: [&lt;17 26 39|, &lt;0 2 1|]
+[[Mapping]]: [{{val|17 26 39}}, {{val|0 2 1}}]
 [[POTE tuning|POTE generators]]: ~25/24 = 70.5882, ~5/4 = 386.2687
@@ Line 1,105: / Line 1,105: @@
 [[Comma list]]: 4375/4374, 193119049072265625/193091834023510016
-[[Mapping]]: [&lt;17 26 39 43|, &lt;0 2 1 10|]
+[[Mapping]]: [{{val|17 26 39 43}}, {{val|0 2 1 10}}]
-[[Wedgie]]: &lt;&lt;34 17 170 -52 174 347||
+[[Wedgie]]: {{multival|34 17 170 -52 174 347}}
 [[POTE tuning|POTE generators]]: ~25/24 = 70.5882, ~5/4 = 386.2936
@@ Line 1,118: / Line 1,118: @@
 Comma list: 4375/4374, 41503/41472, 1879453125/1879048192
-Mapping: [&lt;17 26 39 43 64|, &lt;0 2 1 10 -11|]
+Mapping: [{{val|17 26 39 43 64}}, {{val|0 2 1 10 -11}}]
 POTE generators: ~25/24 = 70.5882, ~5/4 = 386.2690
@@ Line 1,125: / Line 1,125: @@
 Badness: 0.063706
+= Palladium =
+The name of ''palladium temperament'' (named by [[User:Xenllium|Xenllium]]) comes from Palladium, the 46th element.
+Palladium temperament has a period of 1/46 octave. It tempers out the 46-9/5-comma, {{monzo|-39 92 -46}}, by which 46 minortones (10/9) fall short of seven octaves. This temperament can be described as 46&amp;414 temperament, which tempers out {{monzo|-51 8 2 12}} as well as the ragisma.
+[[Comma list]]: 4375/4374, 2270317133144025/2251799813685248
+[[Mapping]]: [{{val|46 73 107 129}}, {{val|0 -1 -2 1}}]
+[[Wedgie]]: {{multival|46 92 -46 39 -202 -365}}
+[[POTE tuning|POTE generator]]: ~3/2 = 701.6074
+[[EDO|Vals]]: {{Val list| 46, 368, 414, 460, 874d }}
+[[Badness]]: 0.308505
+== 11-limit ==
+Comma list: 3025/3024, 9801/9800, 134775333/134217728
+Mapping: [{{val|46 73 107 129 159}}, {{val|0 -1 -2 1 1}}]
+POTE generator: ~3/2 = 701.5951
+Vals: {{Val list| 46, 368, 414, 460, 874de }}
+Badness: 0.073783
+== 13-limit ==
+Comma list: 3025/3024, 4225/4224, 4375/4374, 26411/26364
+Mapping: [{{val|46 73 107 129 159 170}}, {{val|0 -1 -2 1 1 2}}]
+POTE generator: ~3/2 = 701.6419
+Vals: {{Val list| 46, 368, 414, 460, 874de, 1334de }}
+Badness: 0.040751
+== 17-limit ==
+Comma list: 833/832, 1089/1088, 1225/1224, 1701/1700, 4225/4224
+Mapping: [{{val|46 73 107 129 159 170 188}}, {{val|0 -1 -2 1 1 2 0}}]
+POTE generator: ~3/2 = 701.6425
+Vals: {{Val list| 46, 368, 414, 460, 874de, 1334deg }}
+Badness: 0.022441
 = Monzism =