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| == Wizz == | | == Wizz == |
| Wizz, the 6 & 16 temperament in the 2.5.11 subgroup, is related to [[wizard]].
| | {{See also| No-threes subgroup temperaments #Wizz }} |
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| [[Subgroup]]: 2.5.11
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| [[Comma list]]: [[15625/15488]]
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| {{Mapping|legend=2| 2 0 -7 | 0 1 3 }} | |
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| {{Mapping|legend=3| 2 0 4 0 5 | 0 0 1 0 3 }}
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| : [[gencom]]: [125/88 5/4; 15625/15488]
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| [[Optimal tuning]] ([[POTE]]): ~125/88 = 1\2, ~5/4 = 383.768
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| {{Optimal ET sequence|legend=1| 6, 16, 22, 28, 50, 122, 172, 222 }}
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| [[Tp tuning #T2 tuning|RMS error]]: 0.3997
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| Scales: | | Scales: |
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| == Mabilic == | | == Mabilic == |
| Given below is the no-three version of [[Mabila family#Semabila|semabila]], or equivalently the no-threes version of [[Magic family#Trismegistus|trismegistus]]. It is the 7 & 9 temperament in the [[2.5.7 subgroup]], and tempers out [[1071875/1048576]], the mabilisma.
| | {{See also| No-threes subgroup temperaments #Mabilic }} |
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| [[Subgroup]]: 2.5.7
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| [[Comma list]]: 1071875/1048576
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| {{Mapping|legend=2| 1 1 5 | 0 3 -5 }}
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| {{Mapping|legend=3| 1 0 1 5 | 0 0 3 -5 }}
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| : [[gencom]]: [2 175/128; 1071875/1048576]
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| [[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~175/128 = 527.236
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| {{Optimal ET sequence|legend=1| 7, 9, 16, 25, 41, 66, 305bc }}
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| [[Tp tuning #T2 tuning|RMS error]]: 0.7729 cents
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| [[File:mabila_66edo.jpg|right|alt=mabila_66edo.jpg|Mabila in 66edo]] | | [[File:mabila_66edo.jpg|right|alt=mabila_66edo.jpg|Mabila in 66edo]] |
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| == Sephiroth == | | == Sephiroth == |
| Sephiroth is the no-7 restriction of [[muggles]].
| | {{See also| No-threes subgroup temperaments #Sephiroth }} |
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| [[Subgroup]]: 2.5.11.13.17
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| [[Comma list]]: 65/64, 170/169, 221/220
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| {{Mapping|legend=2| 1 0 15 6 11 | 0 1 -5 -1 -3 }} | |
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| {{Mapping|legend=3| 1 0 2 0 5 4 5 | 0 0 1 0 -5 -1 -3 }}
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| : [[gencom]]: [2 5/4; 65/64 170/169 221/220]
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| [[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~5/4 = 372.236
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| {{Optimal ET sequence|legend=1| 10, 13, 16, 29 }}
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| [[Tp tuning #T2 tuning|RMS error]]: 1.774 cents
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| == Augment == | | == Augment == |
| Augment is related to [[augmented]].
| | {{See also| No-threes subgroup temperaments #Augment }} |
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| [[Subgroup]]: 2.5.7.11
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| [[Comma list]]: 56/55, 128/125
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| {{Mapping|legend=2| 3 7 0 2 | 0 0 1 1 }} | |
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| {{Mapping|legend=3| 3 0 7 9 11| 0 0 0 -1 -1 }}
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| : [[gencom]]: [5/4 8/7; 56/55 128/125]
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| [[Optimal tuning]] ([[POTE]]): ~5/4 = 1\3, ~8/7 = 228.275
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| {{Optimal ET sequence|legend=1| 3, 6, 9, 15, 21 }}
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| [[Tp tuning #T2 tuning|RMS error]]: 2.422 cents
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| [[File:augment_21edo.png|right|alt=augment_21edo.png|Augment in 21edo]] | | [[File:augment_21edo.png|right|alt=augment_21edo.png|Augment in 21edo]] |