Hemimean clan: Difference between revisions

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~~__FORCETOC__~~

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]], [[hemiwürschmidt]], [[parakleismic]], [[hemithirds]], [[clyde]], [[bischismic]], [[passion]], [[hexe]] and [[sycamore]] considered elsewhere.

=~~2.5.7-limit~~=

= Didacus =

~~Comma: 3136/3125~~

~~No-threes [[POTE_tuning|POTE generator]] (~28/25)~~: ~~193~~.~~772~~

Subgroup: 2.5.7

~~Map:~~ [~~<1 0 0 -3|, <0 0 2 5|~~]

[[Comma list]]: 3136/3125

~~EDOs:~~ [[~~6edo|6~~]], [[~~12edo|12~~]], [~~[19edo~~|~~19]]~~, ~~[[31edo~~|31]], [~~[68edo~~|~~68]]~~, ~~[[80edo~~|80]], [[~~87edo|87~~]], ~~[[99edo|~~99]], ~~[[130edo|~~130~~]], [[217edo|217]]~~, ~~[[229edo|~~229]], ~~[[328edo|~~328]], ~~[[347edo|~~347]], ~~[[446edo|~~446]], ~~[[545edo|~~545c]], ~~[[675edo|~~675]]

[[Sval]] [[mapping]]: [{{val| 1 0 -3 }}, {{val| 0 2 5 }}]

Gencom mapping: [{{val| 1 0 0 -3 }}, {{val| 0 0 2 5 }}]

[[POTE generator]]: ~28/25 = 193.772

{{Val list| 6, 19, 25, 31, 99, 130, 229, 328, 347, 446, 545c, 675 }}

= Misty =

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Badness: 0.0297

[[Category:~~Theory~~]]

[[Category:Regular temperament theory]]

[[Category:Temperament clan]]

[[Category:Hemimean]]

[[Category:Rank 2]]

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-__FORCETOC__
+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]], [[hemiwürschmidt]], [[parakleismic]], [[hemithirds]], [[clyde]], [[bischismic]], [[passion]], [[hexe]] and [[sycamore]] considered elsewhere.
-=2.5.7-limit=
+= Didacus =
-Comma: 3136/3125
-No-threes [[POTE_tuning|POTE generator]] (~28/25): 193.772
+Subgroup: 2.5.7
-Map: [&lt;1 0 0 -3|, &lt;0 0 2 5|]
+[[Comma list]]: 3136/3125
-EDOs: [[6edo|6]], [[12edo|12]], [[19edo|19]], [[31edo|31]], [[68edo|68]], [[80edo|80]], [[87edo|87]], [[99edo|99]], [[130edo|130]], [[217edo|217]], [[229edo|229]], [[328edo|328]], [[347edo|347]], [[446edo|446]], [[545edo|545c]], [[675edo|675]]
+[[Sval]] [[mapping]]: [{{val| 1 0 -3 }}, {{val| 0 2 5 }}]
+Gencom mapping: [{{val| 1 0 0 -3 }}, {{val| 0 0 2 5 }}]
+[[POTE generator]]: ~28/25 = 193.772
+{{Val list| 6, 19, 25, 31, 99, 130, 229, 328, 347, 446, 545c, 675 }}
 = Misty =
@@ Line 292: / Line 296: @@
 Badness: 0.0297
-[[Category:Theory]]
+[[Category:Regular temperament theory]]
 [[Category:Temperament clan]]
 [[Category:Hemimean]]
+[[Category:Rank 2]]