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| '''Lokismic''' rank-two temperaments temper out the [[Kalismic temperaments #Loki|loki]] comma, 102760448/102515625 = {{monzo|21 -8 -6 2}} (''lokisma'', sasazozo-atribigu). | | {{Technical data page}} |
| | '''Lokismic''' [[rank two temperaments]] temper out the [[Kalismic temperaments #Loki|loki]] comma, 102760448/102515625 = {{monzo|21 -8 -6 2}} (''lokisma'', Sasa-bizotrigu). |
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| Temperaments dicussed elsewhere include: | | Temperaments dicussed elsewhere include: |
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| * [[Hemimage temperaments #Bisupermajor|Bisupermajor]] | | * [[Hemimage temperaments #Bisupermajor|Bisupermajor]] |
| * [[Landscape microtemperaments #Sextile|Sextile]] | | * [[Landscape microtemperaments #Sextile|Sextile]] |
| | * [[Quindromeda family #Semiquindromeda|Semiquindromeda]] |
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| == Septisemitonic == | | == Septisemitonic == |
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| [[POTE generator]]: ~21/20 = 84.446 | | [[POTE generator]]: ~21/20 = 84.446 |
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| {{Val list|legend=1| 128, 142, 270 }} | | {{Optimal ET sequence|legend=1| 128, 142, 270 }} |
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| [[Badness]]: 0.166111 | | [[Badness]]: 0.166111 |
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| POTE generator: ~21/20 = 84.443 | | POTE generator: ~21/20 = 84.443 |
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| Vals: {{Val list| 128, 142, 270 }}
| | {{Optimal ET sequence|legend=1| 128, 142, 270 }} |
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| Badness: 0.058273 | | Badness: 0.058273 |
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| POTE generator: ~21/20 = 84.440 | | POTE generator: ~21/20 = 84.440 |
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| Vals: {{Val list| 128, 142, 270 }}
| | {{Optimal ET sequence|legend=1| 128, 142, 270 }} |
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| Badness: 0.037612 | | Badness: 0.037612 |
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| == Semiquindromeda ==
| | [[Category:Temperament collections]] |
| {{see also|Quindromeda family}}
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| The ''semiquindromeda'' temperament (410&422) is an extension of the [[28ed5 #Regular temperaments|''quindromeda'' temperament]] with a half-octave period.
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| Subgroup: 2.3.5.7
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| [[Comma list]]: 102760448/102515625, 1220703125/1219784832
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| [[Mapping]]: [{{val|2 4 0 -5}}, {{val|0 -5 28 64}}]
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| [[POTE generator]]: ~1323/1250 = 99.521
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| {{Val list|legend=1| 12, 398, 410, 422, 832, 1254d, 2086bd }}
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| [[Badness]]: 0.233140
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| === 11-limit ===
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| Subgroup: 2.3.5.7.11
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| Comma list: 5632/5625, 9801/9800, 85937500/85766121
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| Mapping: [{{val|2 4 0 -5 -10}}, {{val|0 -5 28 64 102}}]
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| POTE generator: ~1323/1250 = 99.525
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| Vals: {{Val list| 12, 410, 422 }}
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| Badness: 0.093926
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| === 13-limit ===
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| Subgroup: 2.3.5.7.11.13
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| Comma list: 1716/1715, 2080/2079, 5632/5625, 831875/830466
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| Mapping: [{{val|2 4 0 -5 -10 -13}}, {{val|0 -5 28 64 102 123}}]
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| POTE generator: ~1323/1250 = 99.523
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| Vals: {{Val list| 12f, 410, 422, 1254df, 1676bdff, 2098bcddff }}
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| Badness: 0.053361
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| === 17-limit ===
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| Subgroup: 2.3.5.7.11.13.17
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| Comma list: 1716/1715, 2080/2079, 2500/2499, 5632/5625, 15895/15876
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| Mapping: [{{val|2 4 0 -5 -10 -13 10}}, {{val|0 -5 28 64 102 123 -11}}]
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| POTE generator: ~18/17 = 99.522
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| Vals: {{Val list| 12f, 410, 422, 832, 1254df, 1676bdff }}
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| Badness: 0.034659
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| === 19-limit ===
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| Subgroup: 2.3.5.7.11.13.17.19
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| Comma list: 1216/1215, 1445/1444, 1716/1715, 2080/2079, 2376/2375, 2500/2499
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| Mapping: [{{val|2 4 0 -5 -10 -13 10 8}}, {{val|0 -5 28 64 102 123 -11 3}}]
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| POTE generator: ~18/17 = 99.523
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| Vals: {{Val list| 12f, 410, 422, 1254dfhh, 1676bdffhh }}
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| Badness: 0.025439
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| [[Category:Temperament]]
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| [[Category:Temperament collection]] | |
| [[Category:Rank 2]] | | [[Category:Rank 2]] |