Ragismic microtemperaments: Difference between revisions

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The name of chlorine temperament comes from Chlorine, the 17th element.

Chlorine temperament has a period of 1/17 octave. It tempers out the septendecima, {{monzo|-52 -17 34}}, by which 17 chromatic semitones (25/24) exceed an octave. This temperament can be described as 289&323 temperament, which tempers out {{monzo|-49 4 22 -3}} as well as the ragisma.

Chlorine temperament has a period of 1/17 octave. It tempers out the septendecima, {{monzo|-52 -17 34}}, by which 17 chromatic semitones (25/24) exceed an octave. This temperament can be described as 289&323 temperament, which tempers out {{monzo|-49 4 22 -3}} as well as the ragisma. Not only the semitwelfth, but also the ~5/4 can be used as a generator.

Subgroup: 2.3.5

[[Comma]]: {{monzo|-52 -17 34}}

[[Comma]]: {{monzo| -52 -17 34 }}

[[Mapping]]: [{{val|17 26 39}}, {{val|0 2 1}}]

[[Mapping]]: [{{val| 17 0 26 }}, {{val| 0 2 1 }}]

~~[[POTE tuning|POTE~~ generators]]: ~25/24 ~~= 70.5882~~, ~~~5/4~~ = ~~386~~.~~2687~~

Mapping generators: ~25/24, ~{{monzo| 26 9 -17 }}

[[POTE generator]]: ~{{monzo| 26 9 -17 }} = 950.9746

{{Val list|legend=1| 34, 153, 187, 221, 255, 289, 323, 612, 3349, 3961, 4573, 5185, 5797 }}

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[[Comma list]]: 4375/4374, 193119049072265625/193091834023510016

[[Mapping]]: [{{val|17 26 ~~39 43~~}}, {{val|0 2 1 10}}]

[[Mapping]]: [{{val| 17 0 26 -87 }}, {{val| 0 2 1 10 }}]

~~[[Wedgie]]:~~ {{~~multival~~|34 17 170 -52 174 347}}

[[POTE ~~tuning|POTE generators~~]]: ~25/24 = 70.~~5882, ~5/4 = 386.2936~~

[[POTE generator]]: ~822083584/474609375 = 950.9995

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Comma list: 4375/4374, 41503/41472, 1879453125/1879048192

Mapping: [{{val|17 26 ~~39 43 64~~}}, {{val|0 2 1 10 -11}}]

Mapping: [{{val| 17 0 26 -87 207 }}, {{val| 0 2 1 10 -11 }}]

POTE generators: ~25/24 = 70.~~5882, ~5/4 = 386.2690~~

POTE generators: ~822083584/474609375 = 950.9749

Vals: {{Val list| 289, 323, 612 }}

@@ Line 1,677: / Line 1,677: @@
 The name of chlorine temperament comes from Chlorine, the 17th element.
-Chlorine temperament has a period of 1/17 octave. It tempers out the septendecima, {{monzo|-52 -17 34}}, by which 17 chromatic semitones (25/24) exceed an octave. This temperament can be described as 289&amp;323 temperament, which tempers out {{monzo|-49 4 22 -3}} as well as the ragisma.
+Chlorine temperament has a period of 1/17 octave. It tempers out the septendecima, {{monzo|-52 -17 34}}, by which 17 chromatic semitones (25/24) exceed an octave. This temperament can be described as 289&amp;323 temperament, which tempers out {{monzo|-49 4 22 -3}} as well as the ragisma. Not only the semitwelfth, but also the ~5/4 can be used as a generator.
 Subgroup: 2.3.5
-[[Comma]]: {{monzo|-52 -17 34}}
+[[Comma]]: {{monzo| -52 -17 34 }}
-[[Mapping]]: [{{val|17 26 39}}, {{val|0 2 1}}]
+[[Mapping]]: [{{val| 17 0 26 }}, {{val| 0 2 1 }}]
-[[POTE tuning|POTE generators]]: ~25/24 = 70.5882, ~5/4 = 386.2687
+Mapping generators: ~25/24, ~{{monzo| 26 9 -17 }}
+[[POTE generator]]: ~{{monzo| 26 9 -17 }} = 950.9746
 {{Val list|legend=1| 34, 153, 187, 221, 255, 289, 323, 612, 3349, 3961, 4573, 5185, 5797 }}
@@ Line 1,696: / Line 1,698: @@
 [[Comma list]]: 4375/4374, 193119049072265625/193091834023510016
-[[Mapping]]: [{{val|17 26 39 43}}, {{val|0 2 1 10}}]
+[[Mapping]]: [{{val| 17 0 26 -87 }}, {{val| 0 2 1 10 }}]
-[[Wedgie]]: {{multival|34 17 170 -52 174 347}}
+{{Multival|legend=1| 34 17 170 -52 174 347 }}
-[[POTE tuning|POTE generators]]: ~25/24 = 70.5882, ~5/4 = 386.2936
+[[POTE generator]]: ~822083584/474609375 = 950.9995
 {{Val list|legend=1| 289, 323, 612, 935, 1547 }}
@@ Line 1,711: / Line 1,713: @@
 Comma list: 4375/4374, 41503/41472, 1879453125/1879048192
-Mapping: [{{val|17 26 39 43 64}}, {{val|0 2 1 10 -11}}]
+Mapping: [{{val| 17 0 26 -87 207 }}, {{val| 0 2 1 10 -11 }}]
-POTE generators: ~25/24 = 70.5882, ~5/4 = 386.2690
+POTE generators: ~822083584/474609375 = 950.9749
 Vals: {{Val list| 289, 323, 612 }}