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Sensamagic family: Difference between revisions

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__FORCETOC__
The '''sensamagic family''' of rank three temperaments tempers out [[245/243]].
=Sensamagic=
[[Comma|Comma]]: 245/243


[[7-limit|7-limit]] [[minimax|minimax]]
= Sensamagic =
[[Comma]]: 245/243
 
[[7-limit]] [[minimax]]


[|1 0 0 0>, |0 0 1/5 2/5>, |0 0 1 0>, |0 0 0 1>]
[|1 0 0 0>, |0 0 1/5 2/5>, |0 0 1 0>, |0 0 0 1>]


[[Eigenmonzo|Eigenmonzo]]s: 2, 8/7, 5/4
[[Eigenmonzo]]s: 2, 8/7, 5/4


[[9-limit|9-limit]] minimax
[[9-limit]] minimax


[|1 0 0 0>, |0 1 0 0>, |0 5/3 2/3 -2/3>, |0 5/3 -1/3 1/3>]
[|1 0 0 0>, |0 1 0 0>, |0 5/3 2/3 -2/3>, |0 5/3 -1/3 1/3>]
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Generators: 2, 3, 9/7
Generators: 2, 3, 9/7


Edos: [[17edo|,17]] [[19edo|19]], [[22edo|22]], [[24edo|24]], [[27edo|27]], [[41edo|41]], [[46edo|46]], [[60edo|60]], [[68edo|68]], [[87edo|87]], [[109edo|109]], [[128edo|128]], [[169edo|169]], [[177edo|177]], [[237edo|237]]
Edos: [[17edo|17]], [[19edo|19]], [[22edo|22]], [[24edo|24]], [[27edo|27]], [[41edo|41]], [[46edo|46]], [[60edo|60]], [[68edo|68]], [[87edo|87]], [[109edo|109]], [[128edo|128]], [[169edo|169]], [[177edo|177]], [[237edo|237]]


[[Badness|Badness]]: 0.000129
[[Badness]]: 0.000129


[[Projection_pair|Projection pair]]: 5 243/49 to 2.3.7
[[Projection pair]]: 5 243/49 to 2.3.7


===[[Minkowski_blocks|Minkowski blocks]]===
=== [[Minkowski blocks]] ===
{2, 3, 7} subgroup
{2, 3, 7} subgroup


Line 44: Line 45:
24: 64/63, 15059072/14348907
24: 64/63, 15059072/14348907


==Undecimal sensamagic==
== Undecimal sensamagic ==
Commas: 245/243, 385/384
Commas: 245/243, 385/384


[[11-limit|11-limit]] minimax
[[11-limit]] minimax


[|1 0 0 0 0>, |21/13 6/13 -1/13 1/13 -3/13>,  
[|1 0 0 0 0>, |21/13 6/13 -1/13 1/13 -3/13>,  
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Projection pairs: 5 243/49 11 896/81 to 2.3.7
Projection pairs: 5 243/49 11 896/81 to 2.3.7


==13-limit==
== 13-limit ==
Commas: 245/243, 352/351, 385/384
Commas: 245/243, 352/351, 385/384


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Badness: 0.00120
Badness: 0.00120


=Sensawer=
= Sensawer =
Commas: 245/243, 441/440
Commas: 245/243, 441/440


Line 86: Line 87:
Badness: 0.000796
Badness: 0.000796


==13-limit==
== 13-limit ==
Commas: 196/195, 245/243, 352/351
Commas: 196/195, 245/243, 352/351


Line 95: Line 96:
Badness: 0.000928
Badness: 0.000928


=Octarod=
= Octarod =
Commas: 100/99, 245/243
Commas: 100/99, 245/243


Line 104: Line 105:
Badness: 0.000581
Badness: 0.000581


=Shrusus=
= Shrusus =
Commas: 176/175, 245/243
Commas: 176/175, 245/243


Line 113: Line 114:
Badness: 0.000877
Badness: 0.000877


==Shrusic==
== Shrusic ==
Commas: 91/90, 176/175, 245/243
Commas: 91/90, 176/175, 245/243


Line 122: Line 123:
Badness: 0.001125
Badness: 0.001125


=Sensigh=
= Sensigh =
Commas: 91/90, 126/125, 169/168
Commas: 91/90, 126/125, 169/168


Line 131: Line 132:
Badness: 0.000939
Badness: 0.000939


==17-limit==
== 17-limit ==
Commas: 91/90, 126/125, 154/153, 169/168
Commas: 91/90, 126/125, 154/153, 169/168


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EDOs: 19, 27, 46
EDOs: 19, 27, 46


=Bisector=
= Bisector =
Commas: 121/120, 245/243
Commas: 121/120, 245/243


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[[Category:Theory]]
[[Category:Theory]]
[[Category:Temperament family]]
[[Category:Temperament family]]
[[Category:Planar temperament]]
[[Category:Sensamagic]]
[[Category:Sensamagic]]
[[Category:Rank 3]]
Retrieved from "https://en.xen.wiki/w/Sensamagic_family"