Lokismic temperaments: Difference between revisions
m Removing from Category:Temperament using Cat-a-lot |
Cmloegcmluin (talk | contribs) "optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence |
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[[POTE generator]]: ~21/20 = 84.446 | [[POTE generator]]: ~21/20 = 84.446 | ||
{{ | {{Optimal ET sequence|legend=1| 128, 142, 270 }} | ||
[[Badness]]: 0.166111 | [[Badness]]: 0.166111 | ||
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POTE generator: ~21/20 = 84.443 | POTE generator: ~21/20 = 84.443 | ||
{{Optimal ET sequence|legend=1| 128, 142, 270 }} | |||
Badness: 0.058273 | Badness: 0.058273 | ||
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POTE generator: ~21/20 = 84.440 | POTE generator: ~21/20 = 84.440 | ||
{{Optimal ET sequence|legend=1| 128, 142, 270 }} | |||
Badness: 0.037612 | Badness: 0.037612 | ||
Revision as of 18:16, 7 May 2023
Lokismic rank-two temperaments temper out the loki comma, 102760448/102515625 = [21 -8 -6 2⟩ (lokisma, Sasa-bizotrigu).
Temperaments dicussed elsewhere include:
Septisemitonic
The septisemitonic temperament (128&142) has a half-octave period and uses a 21/20-wide semitone (septimal semitone) as a generator.
Subgroup: 2.3.5.7
Comma list: 102760448/102515625, 200120949/200000000
Mapping: [⟨2 5 0 -1], ⟨0 -13 33 47]]
POTE generator: ~21/20 = 84.446
Optimal ET sequence: 128, 142, 270
Badness: 0.166111
11-limit
Subgroup: 2.3.5.7.11
Comma list: 3025/3024, 131072/130977, 422576/421875
Mapping: [⟨2 5 0 -1 11], ⟨0 -13 33 47 -29]]
POTE generator: ~21/20 = 84.443
Optimal ET sequence: 128, 142, 270
Badness: 0.058273
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 2080/2079, 3025/3024, 4096/4095, 405769/405000
Mapping: [⟨2 5 0 -1 11 15], ⟨0 -13 33 47 -29 -54]]
POTE generator: ~21/20 = 84.440
Optimal ET sequence: 128, 142, 270
Badness: 0.037612