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Hemimean clan: Difference between revisions

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The '''hemimean clan''', tempering out the no-threes hemimean comma [[3136/3125]], contains the temperaments misty and semisept, considered below, as well as [[meantone]], [[hemiwürschmidt]], [[parakleismic]], [[hemithirds]], [[clyde]], [[bischismic]], [[passion]], [[hexe]] and [[sycamore]] considered elsewhere.
The '''hemimean clan''', tempering out the no-threes hemimean comma [[3136/3125]], contains the temperaments misty and semisept, considered below, as well as [[Meantone family #Septimal meantone|meantone]], [[Archytas clan #Passion|passion]], [[Augmented family #Hexe|hexe]], [[Gamelismic clan #Hemithirds|hemithirds]], [[Würschmidt family #Hemiwürschmidt|hemiwürschmidt]], [[Ragismic microtemperaments #Parakleismic|parakleismic]], [[Kleismic family #Clyde|clyde]], [[Schismatic family #Bischismic|bischismic]], and [[Sycamore family #Sycamore|sycamore]] considered elsewhere.


= Didacus =
= Didacus =
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= Misty =
= Misty =
{{see also|Misty family}}
{{see also|Misty family}}
Subgroup: 2.3.5.7


[[Comma list]]: 3136/3125, 5120/5103
[[Comma list]]: 3136/3125, 5120/5103
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== 11-limit ==
== 11-limit ==
Subgroup: 2.3.5.7.11
Comma list: 441/440, 3136/3125, 4375/4356
Comma list: 441/440, 3136/3125, 4375/4356


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=== 13-limit ===
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Comma list: 196/195, 352/351, 364/363, 625/624
Comma list: 196/195, 352/351, 364/363, 625/624


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==== 17-limit ====
==== 17-limit ====
Subgroup: 2.3.5.7.11.13.17
Comma list: 196/195, 352/351, 364/363, 375/374, 595/594
Comma list: 196/195, 352/351, 364/363, 375/374, 595/594


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==== 19-limit ====
==== 19-limit ====
Subgroup: 2.3.5.7.11.13.17.19
Comma list: 196/195, 210/209, 352/351, 364/363, 375/374, 595/594
Comma list: 196/195, 210/209, 352/351, 364/363, 375/374, 595/594


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=== Mystic ===
=== Mystic ===
Subgroup: 2.3.5.7.11.13
Comma list: 325/324, 441/440, 896/891, 1001/1000
Comma list: 325/324, 441/440, 896/891, 1001/1000


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== Hemimist ==
== Hemimist ==
Subgroup: 2.3.5.7.11
Comma list: 3136/3125, 5120/5103, 3025/3024
Comma list: 3136/3125, 5120/5103, 3025/3024


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=== 13-limit ===
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Comma list: 352/351, 676/675, 847/845, 3025/3024
Comma list: 352/351, 676/675, 847/845, 3025/3024


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= Semisept =
= Semisept =
== 5-limit ==
== 5-limit ==
Subgroup: 2.3.5
[[Comma list]]: 782757789696/762939453125
[[Comma list]]: 782757789696/762939453125


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== 7-limit ==
== 7-limit ==
Subgroup: 2.3.5.7
[[Comma list]]: 3136/3125, 1728/1715
[[Comma list]]: 3136/3125, 1728/1715


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== 11-limit ==
== 11-limit ==
Subgroup: 2.3.5.7.11
Comma list: 176/175, 540/539, 1331/1323
Comma list: 176/175, 540/539, 1331/1323


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=== 13-limit ===
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Comma list: 176/175, 351/350, 540/539, 1375/1372
Comma list: 176/175, 351/350, 540/539, 1375/1372


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==== 17-limit ====
==== 17-limit ====
Subgroup: 2.3.5.7.11.13.17
Comma list: 176/175, 256/255, 351/350, 640/637, 715/714
Comma list: 176/175, 256/255, 351/350, 640/637, 715/714


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==== 19-limit ====
==== 19-limit ====
Subgroup: 2.3.5.7.11.13.17.19
Comma list: 176/175, 286/285, 351/350, 476/475, 540/539, 1331/1323
Comma list: 176/175, 286/285, 351/350, 476/475, 540/539, 1331/1323


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==== 23-limit ====
==== 23-limit ====
Subgroup: 2.3.5.7.11.13.17.19.23
Comma list: 176/175, 253/252, 286/285, 345/343, 351/350, 391/390, 460/459
Comma list: 176/175, 253/252, 286/285, 345/343, 351/350, 391/390, 460/459


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=== Semishly ===
=== Semishly ===
Subgroup: 2.3.5.7.11.13
Comma list: 144/143, 176/175, 196/195, 275/273
Comma list: 144/143, 176/175, 196/195, 275/273


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= Sengagen =
= Sengagen =
Subgroup: 2.3.5.7
[[Comma list]]: 3136/3125, 420175/419904
[[Comma list]]: 3136/3125, 420175/419904


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= Subpental =
= Subpental =
Subgroup: 2.3.5.7
[[Comma list]]: 3136/3125, 19683/19600
[[Comma list]]: 3136/3125, 19683/19600


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== 11-limit ==
== 11-limit ==
Subgroup: 2.3.5.7.11
Comma list: 540/539, 3136/3125, 8019/8000
Comma list: 540/539, 3136/3125, 8019/8000


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== 13-limit ==
== 13-limit ==
Subgroup: 2.3.5.7.11.13
Comma list: 351/350, 540/539, 676/675, 3136/3125
Comma list: 351/350, 540/539, 676/675, 3136/3125


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= Arch =
= Arch =
Subgroup: 2.3.5.7
[[Comma list]]: 3136/3125, 5250987/5242880
[[Comma list]]: 3136/3125, 5250987/5242880


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== 11-limit ==
== 11-limit ==
Subgroup: 2.3.5.7.11
Comma list: 441/440, 3136/3125, 4000/3993
Comma list: 441/440, 3136/3125, 4000/3993


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== 13-limit ==
== 13-limit ==
Subgroup: 2.3.5.7.11.13
Comma list: 364/363, 441/440, 676/675, 3136/3125
Comma list: 364/363, 441/440, 676/675, 3136/3125


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= Emka =
= Emka =
Subgroup: 2.3.5.7
[[Comma list]]: 3136/3125, 84035/82944
[[Comma list]]: 3136/3125, 84035/82944


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== 11-limit ==
== 11-limit ==
Subgroup: 2.3.5.7.11
Comma list: 385/384, 2401/2376, 3136/3125
Comma list: 385/384, 2401/2376, 3136/3125


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== 13-limit ==
== 13-limit ==
Subgroup: 2.3.5.7.11.13
Comma list: 196/195, 364/363, 385/384, 625/624
Comma list: 196/195, 364/363, 385/384, 625/624


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