Ragismic microtemperaments: Difference between revisions
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Chlorine microtemperament has a period of 1/17 octave. It tempers out the septendecima, |-52 -17 34>, by which 17 chromatic semitones (25/24) fall short of an octave. Possible tunings for chlorine are [[289edo|289]], [[323edo|323]], and [[612edo|612]] EDOs, though its hardly likely anyone could tell the difference. In the 7-limit, 289&323 temperament tempers out |-49 4 22 -3> as well as the ragisma. | Chlorine microtemperament has a period of 1/17 octave. It tempers out the septendecima, |-52 -17 34>, by which 17 chromatic semitones (25/24) fall short of an octave. Possible tunings for chlorine are [[289edo|289]], [[323edo|323]], and [[612edo|612]] EDOs, though its hardly likely anyone could tell the difference. In the 7-limit, 289&323 temperament tempers out |-49 4 22 -3> as well as the ragisma. | ||
Comma: |-52 -17 34> | [[Comma]]: |-52 -17 34> | ||
[[Mapping]]: [<17 26 39|, <0 2 1|] | |||
[[POTE tuning|POTE generators]]: ~25/24 = 70.5882, ~5/4 = 386.2687 | |||
[[EDO|Vals]]: {{Val list| 34, 153, 187, 221, 255, 289, 323, 612, 3349, 3961, 4573, 5185, 5797 }} | |||
Badness: 0. | [[Badness]]: 0.077072 | ||
==7-limit== | == 7-limit == | ||
[[Comma list]]: 4375/4374, 193119049072265625/193091834023510016 | |||
[[Mapping]]: [<17 26 39 43|, <0 2 1 10|] | |||
[[POTE tuning|POTE generators]]: ~25/24 = 70.5882, ~5/4 = 386.2936 | |||
[[EDO|Vals]]: {{Val list| 289, 323, 612, 935, 1547 }} | |||
Badness: 0. | [[Badness]]: 0.041658 | ||
==11-limit== | == 11-limit == | ||
Comma list: 4375/4374, 41503/41472, 1879453125/1879048192 | |||
Mapping: [<17 26 39 43 64|, <0 2 1 10 -11|] | |||
POTE generators: ~25/24 = 70.5882, ~5/4 = 386.2690 | POTE generators: ~25/24 = 70.5882, ~5/4 = 386.2690 | ||
Vals: {{Val list| 289, 323, 612 }} | |||
Badness: 0. | Badness: 0.063706 | ||
= Monzism = | = Monzism = | ||