Ragismic microtemperaments: Difference between revisions
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* ''[[Quindro]]'', {4375/4374, {{monzo| 56 -28 -5 }}} → [[Quindromeda family #Quindro|Quindromeda family]] | * ''[[Quindro]]'', {4375/4374, {{monzo| 56 -28 -5 }}} → [[Quindromeda family #Quindro|Quindromeda family]] | ||
Microtemperaments considered below are ennealimmal, supermajor, enneadecal, semidimi, brahmagupta, abigail, gamera, orga, seniority, monzismic, semidimfourth, acrokleismic, quasithird | Microtemperaments considered below are ennealimmal, supermajor, enneadecal, semidimi, brahmagupta, abigail, gamera, orga, chlorine, seniority, monzismic, semidimfourth, acrokleismic, quasithird, deca, keenanose, quatracot, and palladium. | ||
Some near-microtemperaments are appended as octoid, amity, parakleismic, counterkleismic, quincy, sfourth, and trideci. | Some near-microtemperaments are appended as octoid, amity, parakleismic, counterkleismic, quincy, sfourth, and trideci. | ||
Line 808: | Line 808: | ||
Badness: 0.021762 | Badness: 0.021762 | ||
== Chlorine == | |||
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. Not only the semitwelfth, but also the ~5/4 can be used as a generator. | |||
Subgroup: 2.3.5 | |||
[[Comma]]: {{monzo| -52 -17 34 }} | |||
[[Mapping]]: [{{val| 17 0 26 }}, {{val| 0 2 1 }}] | |||
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 }} | |||
[[Badness]]: 0.077072 | |||
=== 7-limit === | |||
Subgroup: 2.3.5.7 | |||
[[Comma list]]: 4375/4374, 193119049072265625/193091834023510016 | |||
[[Mapping]]: [{{val| 17 0 26 -87 }}, {{val| 0 2 1 10 }}] | |||
{{Multival|legend=1| 34 17 170 -52 174 347 }} | |||
[[POTE generator]]: ~822083584/474609375 = 950.9995 | |||
{{Val list|legend=1| 289, 323, 612, 935, 1547 }} | |||
[[Badness]]: 0.041658 | |||
=== 11-limit === | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 4375/4374, 41503/41472, 1879453125/1879048192 | |||
Mapping: [{{val| 17 0 26 -87 207 }}, {{val| 0 2 1 10 -11 }}] | |||
POTE generators: ~822083584/474609375 = 950.9749 | |||
Optimal GPV sequence: {{Val list| 289, 323, 612 }} | |||
Badness: 0.063706 | |||
== Seniority == | == Seniority == | ||
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Badness: 0.029501 | Badness: 0.029501 | ||
== Deca == | == Deca == |