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| [[Badness]] (Sintel): 2.88 | | [[Badness]] (Sintel): 2.88 |
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| == Aluminium ==
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| : ''For extensions, see [[Ragismic microtemperaments #Aluminium]].''
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| Aluminium tempers out {{monzo| 92 -39 -13 }} in the 5-limit, and sets [[135/128]] to 1/13 of an [[octave]].
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| [[Subgroup]]: 2.3.5
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| [[Comma list]]: {{monzo| 92 -39 -13 }}
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| {{Mapping|legend=1| 13 0 92 | 0 1 -3 }}
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| : mapping generators: ~135/128, ~3
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| [[Optimal tuning]]s:
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| * [[WE]]: ~135/128 = 92.3068{{c}}, ~3/2 = 701.9791{{c}}
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| : [[error map]]: {{val| -0.012 +0.012 +0.009 }}
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| * [[CWE]]: ~135/128 = 92.3077{{c}}, ~3/2 = 701.9897{{c}}
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| : error map: {{val| 0.000 +0.032 +0.033 }}
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| {{Optimal ET sequence|legend=1| 65, 299, 364, 429, 494, 559, 1053, 1612, 5889, 7501, 9113, 10725, 23062bc, 33787bcc, 44512bbcc }}
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| [[Badness]] (Sintel): 2.89
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| == Avila == | | == Avila == |
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| [[Badness]] (Sintel): 4.70 | | [[Badness]] (Sintel): 4.70 |
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| == Neon ==
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| : ''For extensions, see [[Ragismic microtemperaments #Deca]], [[Landscape microtemperaments #Zinc]], and [[20th-octave temperaments #Calcium]].''
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| {{See also| Neon comma }}
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| Neon tempers out {{monzo| 21 60 -50 }} in the 5-limit, equating [[3125/2916]] with one step of [[10edo]]. It was named by [[Eliora]] in 2023 after the 10th element.
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| [[Subgroup]]: 2.3.5
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| [[Comma list]]: {{monzo| 21 60 -50 }}
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| {{Mapping|legend=1| 10 4 9 | 0 5 6 }}
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| : mapping generators: ~3125/2916, {{monzo| 10 29 -24 }}
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| [[Optimal tuning]]s:
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| * [[WE]]: ~3125/2916 = 119.9999{{c}}, {{monzo| 10 29 -24 }} = 284.3890{{c}}
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| : [[error map]]: {{val| -0.001 -0.011 +0.019 }}
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| * [[CWE]]: ~3125/2916 = 120.0000{{c}}, {{monzo| 10 29 -24 }} = 284.3891{{c}}
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| : error map: {{val| 0.000 -0.010 +0.021 }}
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| {{Optimal ET sequence|legend=1| 80, 190, 270, 460, 730, 1730, 2460, 3190, 5650 }}
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| [[Badness]] (Sintel): 4.85
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| == Dodifo == | | == Dodifo == |
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| == Octoid == | | == Octoid == |
| : ''For extensions, see [[Ragismic microtemperaments #Octoid]].'' | | : ''For extensions, see [[Stearnsmic clan #Octoid]].'' |
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| [[Subgroup]]: 2.3.5 | | [[Subgroup]]: 2.3.5 |
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| == Kangaroo == | | == Kangaroo == |
| : ''For extensions, see [[Trienstonic clan #Parakangaroo]].'' | | : ''For extensions, see [[Trienstonic clan #Parakangaroo]] and [[Archytas clan#Kangaroo]].'' |
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| [[Subgroup]]: 2.3.5 | | [[Subgroup]]: 2.3.5 |
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| == Wizard == | | == Wizard == |
| : ''For extensions, see [[Marvel temperaments #Wizard]].'' | | : ''For extensions, see [[Stearnsmic clan #Wizard]].'' |
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| [[Subgroup]]: 2.3.5 | | [[Subgroup]]: 2.3.5 |
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| == Leapday == | | == Leapday == |
| : ''For extensions, see [[Hemifamity temperaments #Leapday]] and [[Porwell temperaments #Polypyth]].'' | | : ''For extensions, see [[Sengic temperaments #Leapday]] and [[Porwell temperaments #Polypyth]].'' |
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| [[Subgroup]]: 2.3.5 | | [[Subgroup]]: 2.3.5 |
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| == Vinegar == | | == Vinegar == |
| : ''For extensions, see [[Starling temperaments #Vinegar]].''
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| [[Subgroup]]: 2.3.5 | | [[Subgroup]]: 2.3.5 |
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