Wizmic microtemperaments: Difference between revisions

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__FORCETOC__
A wizmic temperament is one which tempers out the wizma, {{monzo|-6 -8 2 5}} = 420175/419904.
A wizmic temperament is one which tempers out the wizma, |-6 -8 2 5> = 420175/419904.


Discussed elsewhere are [[ennealimmal]], [[fifthplus]], [[hemiseven]], [[hendecatonic]], [[sengagen]], [[septiquarter]], [[tsaharuk]], and [[wizard]].
Discussed elsewhere are [[Vishnuzmic family #Decavish|decavish]], [[Ragismic microtemperaments #Ennealimmal|ennealimmal]], [[Horwell temperaments #Fifthplus|fifthplus]], [[Gamelismic clan #Hemiseven|hemiseven]], [[Porwell temperaments #Hendecatonic|hendecatonic]], [[Hemimean clan #Sengagen|sengagen]], [[Hemifamity temperaments #Septiquarter|septiquarter]], [[Schismatic family #Tsaharuk|tsaharuk]], and [[Marvel temperaments #Wizard|wizard]].


= Qak =
= Qak =
[[Comma list]]: 420175/419904, 703125/702464
[[Comma list]]: 420175/419904, 703125/702464


[[Mapping]]: [<1 -14 -3 -20|, <0 41 14 60|]
[[Mapping]]: [{{val|1 -14 -3 -20}}, {{val|0 41 14 60}}]


[[Wedgie]]: <<41 14 60 -73 -20 100||
[[Wedgie]]: {{multival|41 14 60 -73 -20 100}}


[[POTE tuning|POTE generator]]: ~125/96 = 456.144
[[POTE tuning|POTE generator]]: ~125/96 = 456.144
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[[Comma list]]: 420175/419904, 5250987/5242880
[[Comma list]]: 420175/419904, 5250987/5242880


[[Mapping]]: [<1 -1 -11 4|, <0 13 67 -6|]
[[Mapping]]: [{{val|1 -1 -11 4}}, {{val|0 13 67 -6}}]


[[Wedgie]]: <<13 67 -6 76 -46 -202||
[[Wedgie]]: {{multival|13 67 -6 76 -46 -202}}


[[POTE tuning|POTE generator]]: ~147/128 = 238.599
[[POTE tuning|POTE generator]]: ~147/128 = 238.599
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[[Comma list]]: 420175/419904, 29360128/29296875
[[Comma list]]: 420175/419904, 29360128/29296875


[[Mapping]]: [<1 -4 2 -6|, <0 52 3 82|]
[[Mapping]]: [{{val|1 -4 2 -6}}, {{val|0 52 3 82}}]


[[Wedgie]]: <<52 3 82 -116 -16 182||
[[Wedgie]]: {{multival|52 3 82 -116 -16 182}}


[[POTE tuning|POTE generator]]: ~3375/3136 = 128.8879
[[POTE tuning|POTE generator]]: ~3375/3136 = 128.8879
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Comma list: 3025/3024, 5632/5625, 117649/117612
Comma list: 3025/3024, 5632/5625, 117649/117612


Mapping: [<1 -4 2 -6 -9|, <0 52 3 82 116|]
Mapping: [{{val|1 -4 2 -6 -9}}, {{val|0 52 3 82 116}}]


POTE generator: ~264/245 = 128.8898
POTE generator: ~264/245 = 128.8898
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Comma list: 676/675, 1716/1715, 3025/3024, 4225/4224
Comma list: 676/675, 1716/1715, 3025/3024, 4225/4224


Mapping: [<1 -4 2 -6 -9 -5|, <0 52 3 82 116 81|]
Mapping: [{{val|1 -4 2 -6 -9 -5}}, {{val|0 52 3 82 116 81}}]


POTE generator: ~14/13 = 128.8902
POTE generator: ~14/13 = 128.8902
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Comma list: 676/675, 715/714, 1716/1715, 2025/2023, 4225/4224
Comma list: 676/675, 715/714, 1716/1715, 2025/2023, 4225/4224


Mapping: [<1 -4 2 -6 -9 -5 -3|, <0 52 3 82 116 81 66|]
Mapping: [{{val|1 -4 2 -6 -9 -5 -3}}, {{val|0 52 3 82 116 81 66}}]


POTE generator: ~14/13 = 128.8912
POTE generator: ~14/13 = 128.8912