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| Line 4: |
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| Temperaments discussed elsewhere include: | | Temperaments discussed elsewhere include: |
| * ''[[Uniwiz]]'' (+385/384) → [[Keenanismic temperaments #Uniwiz|Keenanismic temperaments]] | | * ''[[Uniwiz]]'' (+385/384) → [[Keenanismic temperaments #Uniwiz|Keenanismic temperaments]] |
| | | * ''[[Rabic]]'' (+243/242) → [[Rastmic rank-3 clan #Rabic|Rastmic rank-3 clan]] |
| == Alphaxenic ==
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| [[Subgroup]]: 2.3.5.7.11
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| [[Comma list]]: 131769/131072
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| {{Mapping|legend=1| 2 1 0 0 8 | 0 2 0 0 -1 | 0 0 1 0 0 | 0 0 0 1 0 }}
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| : mapping generators: ~363/256, ~16/11, ~5, ~7
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| [[Optimal tuning]]s:
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| * [[WE]]: ~363/256 = 600.1590{{c}}, ~16/11 = 650.8508{{c}}, ~5/4 = 385.6773{{c}}, ~7/4 = 968.1894{{c}} | |
| : [[error map]]: {{val| +0.318 -0.094 -0.000 -0.000 -0.897 }}
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| * [[CWE]]: ~363/256 = 600.0000{{c}}, ~16/11 = 650.7321{{c}}, ~5/4 = 385.7900{{c}}, ~7/4 = 968.1927{{c}}
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| : error map: {{val| 0.000 -0.491 -0.524 -0.633 -2.050 }}
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| {{Optimal ET sequence|legend=1| 22, 46, 68, 72, 118, 190, 212, 284, 330e, 402de, 498e, 544e, 616ee, 806dee, 828cee, 946cdeee, 1018cdeee }}
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| [[Badness]] (Sintel): 23.0
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| == Rabic ==
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| Whenever the [[rastma]] is added to the list of commas tempered out among alphaxenic temperaments, you end up with rabic, which splits the octave into 24 equal parts. This temperament is named as such because tempering out both the Alpharabian comma and the rastma automatically tempers out the [[Betarabian comma]].
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| [[Subgroup]]: 2.3.5.7.11
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| [[Comma list]]: 243/242, 131769/131072
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| {{Mapping|legend=1| 24 38 0 0 83 | 0 0 1 0 0 | 0 0 0 1 0 }}
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| : mapping generators: ~33/32, ~5, ~7
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| [[Optimal tuning]]s:
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| * [[WE]]: ~33/32 = 50.0220{{c}}, ~5/4 = 385.0647{{c}}, ~7/4 = 967.3158{{c}}
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| : [[error map]]: {{val| +0.538 -1.104 -0.002 -0.002 +0.541 }}
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| * [[CWE]]: ~33/32 = 50.0000{{c}}, ~5/4 = 385.0647{{c}}, ~7/4 = 967.3158{{c}}
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| : error map: {{val| 0.000 -1.955 -0.937 -1.133 -1.318 }}
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| {{Optimal ET sequence|legend=1| 24, 48(d), 72, 264, 336b, 408b, 480bcde }}
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| [[Badness]] (Sintel): 7.30
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| [[Category:Temperament clans]] | | [[Category:Temperament clans]] |
| [[Category:Alphaxenic rank-3 clan| ]] <!-- main article --> | | [[Category:Alphaxenic rank-3 clan| ]] <!-- main article --> |
| [[Category:Rank 3]] | | [[Category:Rank 3]] |