Aberschismic temperaments: Difference between revisions

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 The hemifamity temperaments temper out the hemifamity comma, {{monzo| 10 -6 1 -1 }} = [[5120/5103]], dividing an exact or approximate septimal diesis, {{monzo| 2 2 -1 -1 }} = [[36/35]] into two equal steps.
-Belonging to it and considered below are buzzard, undecental, leapday, mystery, quanic and ketchup. Other hemifamity temperaments are [[Meantone family #Dominant|dominant]], [[Schismatic family #Garibaldi|garibaldi]], [[Breedsmic temperaments #Hemififths|hemififths]], [[Ragismic microtemperaments #Amity|amity]], [[Hemimean clan #Misty|misty]], [[Gamelismic clan #Rodan|rodan]], [[Kleismic family #Countercata|countercata]] and [[Mirkwai clan #Kwai|kwai]].
+Belonging to it and considered below are buzzard, undecental, leapday, mystery, quanic and ketchup. Other hemifamity temperaments are:
+* ''[[Dominant]]'', {36/35, 64/63} → [[Meantone family #Dominant|Meantone family]]
+* [[Garibaldi]], {225/224, 3125/3087} → [[Schismatic family #Garibaldi|Schismatic family]]
+* [[Rodan]], {245/243, 1029/1024} → [[Gamelismic clan #Rodan|Gamelismic clan]]
+* [[Hemififths]], {2401/2400, 5120/5103} → [[Breedsmic temperaments #Hemififths|Breedsmic temperaments]]
+* [[Misty]], {3136/3125, 5120/5103} → [[Misty family #Misty|Misty family]]
+* [[Amity]], {4375/4374, 5120/5103} → [[Ragismic microtemperaments #Amity|Ragismic microtemperaments]] and [[Amity family #Septimal amity|Amity family]]
+* ''[[Countercata]]'', {5120/5103, 15625/15552} → [[Kleismic family #Countercata|Kleismic family]]
+* ''[[Kwai]]'', {5120/5103, 16875/16807} → [[Mirkwai clan #Kwai|Mirkwai clan]]
+* ''[[Supers]]'', {5120/5103, 118098/117649} → [[Stearnsmic clan #Supers|Stearnsmic clan]]
 == Buzzard ==
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 Badness: 0.017273
-== Supers ==
-Subgroup: 2.3.5.7
-[[Comma list]]: 5120/5103, 118098/117649
-[[Mapping]]: [{{val| 2 1 -12 2 }}, {{val| 0 3 23 5 }}]
-{{Multival|legend=1| 6 46 10 59 -1 -106 }}
-[[POTE generator]]: ~9/7 = 434.218
-{{Val list|legend=1| 58, 94, 152 }}
-[[Badness]]: 0.092748
-=== 11-limit ===
-Subgroup: 2.3.5.7.11
-Comma list: 540/539, 4000/3993, 5120/5103
-Mapping: [{{val| 2 1 -12 2 -9 }}, {{val| 0 3 23 5 22 }}]
-POTE generator: ~9/7 = 434.217
-Vals: {{Val list| 58, 94, 152 }}
-Badness: 0.028240
-=== 13-limit ===
-Subgroup: 2.3.5.7.11.13
-Comma list: 352/351, 540/539, 729/728, 1575/1573
-Mapping: [{{val| 2 1 -12 2 -9 -2 }}, {{val| 0 3 23 5 22 13 }}]
-POTE generator: ~9/7 = 434.221
-Vals: {{Val list| 58, 94, 152f }}
-Badness: 0.021645
-=== 17-limit ===
-Subgroup: 2.3.5.7.11.13.17
-Comma list: 170/169, 289/288, 352/351, 442/441, 561/560
-Mapping: [{{val| 2 1 -12 2 -9 -2 6 }}, {{val| 0 3 23 5 22 13 3 }}]
-POTE generator: ~9/7 = 434.181
-Vals: {{Val list| 58, 94, 152f }}
-Badness: 0.021316
 == Alphaquarter ==
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 [[Category:Regular temperament theory]]
 [[Category:Temperament collection]]
-[[Category:Hemifamity]]
+[[Category:Hemifamity temperaments| ]] <!-- main article -->
 [[Category:Rank 2]]