Parkleiness temperaments: Difference between revisions

VisualWikitext

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-'''Parkleiness''' rank-two temperaments temper out the ''parkleiness'' comma, 1959552/1953125 = {{monzo|7 7 -9 1}} (zotritrigu).
+{{Technical data page}}
+'''Parkleiness''' [[rank two temperaments]] temper out the ''parkleiness'' comma, 1959552/1953125 = {{monzo|7 7 -9 1}} (zotritrigu).
 Temperaments dicussed elsewhere include:
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 * [[Breedsmic temperaments #Quinmite|Quinmite]]
 * [[Porwell temperaments #Nessafof|Nessafof]]
+* [[Vishnuzmic family #Narayana|Narayana]]
 * [[Sensipent family #Sensei|Sensei]]
 * [[Kleismic family #Keemun|Keemun]]
 * [[Gamelismic clan #Tritriple|Tritriple]]
-* [[Trisedodge family|Trisedodge]]
+* [[Trisedodge family #Septimal trisedodge|Trisedodge]]
 == Majvamic ==
-The ''majvamic'' temperament (183&amp;217) is an extension of the majvam temperament which tempers out the parkleiness comma and the decovulture comma (67108864/66976875, sasabirugugu) in the 7-limit.
+The ''majvamic'' temperament (183&amp;217) is an extension of the [[Subgroup temperaments #No-sevens subgroup|majvam]] temperament which tempers out the parkleiness comma and the decovulture comma (67108864/66976875, sasabirugugu) in the 7-limit.
 Subgroup: 2.3.5.7
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 [[Mapping]]: [{{val|1 10 5 -32}}, {{val|0 -22 -7 91}}]
-{{Multival|legend=1|22 7 -91 -40 -206 -231}}
 [[POTE generator]]: ~125/96 = 459.001
-{{Val list|legend=1| 34, 149d, 183, 217, 400 }}
+{{Optimal ET sequence|legend=1| 34, 149d, 183, 217, 400 }}
 [[Badness]]: 0.188996
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 POTE generator: ~125/96 = 459.002
-Vals: {{Val list| 34, 149d, 183, 400, 983c, 1383ce, 1783cce }}
+{{Optimal ET sequence|legend=1| 34, 149d, 183, 400, 983c, 1383ce, 1783cce }}
 Badness: 0.055046
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 POTE generator: ~125/96 = 459.000
-Vals: {{Val list| 34, 149d, 183, 217, 400 }}
+{{Optimal ET sequence|legend=1| 34, 149d, 183, 217, 400 }}
 Badness: 0.033963
@@ Line 62: / Line 62: @@
 POTE generator: ~125/96 = 459.000
-Vals: {{Val list| 34, 149d, 183, 217, 400 }}
+{{Optimal ET sequence|legend=1| 34, 149d, 183, 217, 400 }}
 Badness: 0.019543
-[[Category:Temperament]]
+== Octogintic ==
-[[Category:Temperament collection]]
+The ''octogintic'' temperament has a period of 1/80 octave and tempers out the parkleiness comma and the starscape comma (645700815/645657712), as well as [[linus comma]], 578509309952/576650390625.
+Subgroup: 2.3.5.7
+[[Comma list]]: 1959552/1953125, 645700815/645657712
+[[Mapping]]: [{{val|80 127 186 225}}, {{val|0 -1 -1 -2}}]
+[[POTE generator]]: ~3/2 = 701.940
+{{Optimal ET sequence|legend=1| 80, 320, 400 }}
+[[Badness]]: 0.307033
+=== 11-limit ===
+Subgroup: 2.3.5.7.11
+Comma list: 9801/9800, 46656/46585, 391314/390625
+Mapping: [{{val|80 127 186 225 277}}, {{val|0 -1 -1 -2 -1}}]
+POTE generator: ~3/2 = 701.982
+{{Optimal ET sequence|legend=1| 80, 320, 400 }}
+Badness: 0.067939
+=== 13-limit ===
+Subgroup: 2.3.5.7.11.13
+Comma list: 1001/1000, 4225/4224, 4459/4455, 46656/46585
+Mapping: [{{val|80 127 186 225 277 296}}, {{val|0 -1 -1 -2 -1 0}}]
+POTE generator: ~3/2 = 701.796
+{{Optimal ET sequence|legend=1| 80, 320, 400, 720, 1120 }}
+Badness: 0.046158
+=== 17-limit ===
+Subgroup: 2.3.5.7.11.13.17
+Comma list: 936/935, 1001/1000, 1377/1375, 4225/4224, 4459/4455
+Mapping: [{{val|80 127 186 225 277 296 327}}, {{val|0 -1 -1 -2 -1 0 0}}]
+POTE generator: ~3/2 = 701.800
+{{Optimal ET sequence|legend=1| 80, 320, 400, 720, 1120 }}
+Badness: 0.029279
+=== 19-limit ===
+Subgroup: 2.3.5.7.11.13.17.19
+Comma list: 936/935, 969/968, 1001/1000, 1377/1375, 1521/1520, 3136/3135
+Mapping: [{{val|80 127 186 225 277 296 327 340}}, {{val|0 -1 -1 -2 -1 0 0 -1}}]
+POTE generator: ~3/2 = 701.784
+{{Optimal ET sequence|legend=1| 80, 320, 400, 720h, 1120h }}
+Badness: 0.021470
+[[Category:Temperament collections]]
+[[Category:Pages with mostly numerical content]]
 [[Category:Rank 2]]