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| * ''[[Thor]]'' (+3025/3024 or 4375/4374) → [[Ragismic family #Thor|Ragismic family]] | | * ''[[Thor]]'' (+3025/3024 or 4375/4374) → [[Ragismic family #Thor|Ragismic family]] |
| * ''[[Semihemimean]]'' (+3136/3125) → [[Hemimean family #Semihemimean|Hemimean family]] | | * ''[[Semihemimean]]'' (+3136/3125) → [[Hemimean family #Semihemimean|Hemimean family]] |
| | * ''[[Loki]]'' (+5632/5625) → [[Vishdelismic clan #Loki|Vishdelismic clan]] |
| * ''[[Semiporwell]]'' (+6144/6125) → [[Porwell family #Semiporwell|Porwell family]] | | * ''[[Semiporwell]]'' (+6144/6125) → [[Porwell family #Semiporwell|Porwell family]] |
| * ''[[Semicathart]]'' (+14641/14580) → [[Cathartic family #Semicathart|Cathartic family]] | | * ''[[Semicathart]]'' (+14641/14580) → [[Cathartic family #Semicathart|Cathartic family]] |
| | * ''[[Pessoal]]'' (+131072/130977) → [[Olympic clan #Pessoal|Olympic clan]] |
| * ''[[Odin]]'' (+151263/151250) → [[Landscape family #Odin|Landscape family]] | | * ''[[Odin]]'' (+151263/151250) → [[Landscape family #Odin|Landscape family]] |
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| Considered below are lycoris, van gogh, sif, loki, pessoal, and linus, in the order of increasing [[badness]]. For the rank-4 temperament, see [[Rank-4 temperament #Kalismic (9801/9800)]]. | | Considered below are lycoris, van gogh, sif, and linus, in the order of increasing [[badness]]. For the rank-4 temperament, see [[Rank-4 temperament #Kalismic (9801/9800)]]. |
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| == Lycoris == | | == Lycoris == |
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| Badness (Sintel): 0.317 | | Badness (Sintel): 0.317 |
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| == Loki ==
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| [[Subgroup]]: 2.3.5.7.11
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| [[Comma list]]: 5632/5625, 9801/9800
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| {{Mapping|legend=1| 2 0 0 -21 -18 | 0 1 0 4 2 | 0 0 1 3 4 }}
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| : mapping generators: ~99/70, ~3, ~5
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| [[Optimal tuning]]s:
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| * [[WE]]: ~99/70 = 599.9481{{c}}, ~3/2 = 702.1195{{c}}, ~5/4 = 386.7636{{c}}
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| : [[error map]]: {{val| -0.104 +0.061 +0.242 -0.005 -0.128 }}
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| * [[CWE]]: ~99/70 = 600.0000{{c}}, ~3/2 = 702.1647{{c}}, ~5/4 = 386.7768{{c}}
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| : error map: {{val| 0.000 +0.210 +0.463 +0.163 +0.119 }}
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| {{Optimal ET sequence|legend=1| 12, 22, 34d, 56d, 74d, 84de, 96d, 118, 130, 152, 248, 270, 670, 822, 940, 1092, 1362c, 2032c, 2302c }}
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| [[Badness]] (Sintel): 0.592
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| == Pessoal ==
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| {{See also| Pessoalisma }}
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| Pessoal tempers out the [[olympia]]. It was named by [[Aura]] in 2023, meaning [[Wiktionary: pessoal #Portuguese|"personal"]], for the fact that it is associated with [[abigail]], which is in turn a person's name.
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| [[Subgroup]]: 2.3.5.7.11
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| [[Comma list]]: 9801/9800, 131072/130977
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| {{Mapping|legend=1| 2 0 1 10 14 | 0 1 0 -1 -3 | 0 0 3 -1 2 }}
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| : mapping generators: ~99/70, ~3, ~32/21
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| [[Optimal tuning]]s:
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| * [[WE]]: ~99/70 = 599.9711{{c}}, ~3/2 = 702.0265{{c}}, ~32/21 = 728.7942{{c}}
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| : [[error map]]: {{val| -0.058 +0.014 +0.040 +0.122 -0.040 }}
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| * [[CWE]]: ~99/70 = 600.0000{{c}}, ~3/2 = 702.0635{{c}}, ~32/21 = 728.8214{{c}}
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| : error map: {{val| 0.000 +0.109 +0.150 +0.289 +0.134 }}
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| {{Optimal ET sequence|legend=1| 36, 46, 84, 94, 130, 224, 270, 494, 764, 1164, 1658, 3586cd, 5244cdde, 6008bcdde }}
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| [[Badness]] (Sintel): 0.599
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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, 4096/4095
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| Mapping: {{mapping| 2 0 1 10 14 13 | 0 1 0 -1 -3 -1 | 0 0 3 -1 2 -2 }}
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| Optimal tunings:
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| * WE: ~99/70 = 599.9835{{c}}, ~3/2 = 702.0253{{c}}, ~32/21 = 728.7700{{c}}
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| * CWE: ~99/70 = 600.0000{{c}}, ~3/2 = 702.0477{{c}}, ~32/21 = 728.7882{{c}}
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| {{Optimal ET sequence|legend=0| 36, 46, 84, 94, 130, 224, 270, 494, 764, 1258, 1882d, 2152d }}
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| Badness (Sintel): 0.366
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| == Linus == | | == Linus == |