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Line 499: |
Line 499: |
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| == Photia == | | == Photia == |
| Subgroup: 2.3.5.17.19
| | {{See also| Schismatic family #Photia (2.3.5.17) }} |
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| Commas: 171/170, 256/255, 324/323
| | [[File:photia_65edo.png|right|alt=photia_65edo.png|Photia in 65edo]] |
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| Sval name: 12&41
| | Scales: |
| | * [[photia7]] – 7-tone albitonic scale |
| | * [[photia12]] – 12-tone chromatic scale |
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| Related temperament: [[Schismatic_family|schismatic]]
| | == Shoe a.k.a. llywelyn == |
| | {{See also| Llywelynsmic clan #Llywelyn a.k.a. shoe }} |
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| [[Tp_tuning|POT2 generator]]: ~3/2 = 701.470 | | [[File:shoe_37edo.jpg|right|alt=shoe_37edo.jpg|Shoe in 37edo]] |
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| [[Gencom|Gencom]]: [2 3/2; 171/170 256/255 324/323]
| | Scales: |
| | | * [[shoe5]] – 5-tone mini-haplotonic scale |
| Gencom mapping: [<1 1 7 0 0 0 0 6|, <0 1 -8 0 0 0 7 -3|]
| | * [[shoe6]] – 6-tone haplotonic scale |
| | | * [[shoe11]] – 11-tone albitonic scale |
| Mapping: [<1 0 15 -7 9|, <0 1 -8 7 -3|]
| | * [[shoe16]] – 16-tone chromatic scale |
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| EDOs: {{EDOs|7, 12, 17, 29, 41, 53, 65, 142d, 207d, 272d}}
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| [[Tp_tuning#T2 tuning|RMS error]]: 0.5374 cents
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| [[File:photia_65edo.png|alt=photia_65edo.png|photia_65edo.png]]
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| [[photia7|Seven note albitonic scale]]
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| [[photia12|Twelve note chromatic scale]]
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| == Shoe ==
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| Subgroup: 2.5.7.11.13
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| Commas: 176/175, 640/637, 847/845
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| Sval name: 16&21
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| [[Tp_tuning|POT2 generator]]: ~8/7 = 227.108
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| [[Gencom|Gencom]]: [2 8/7; 176/175 640/637 847/845]
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| Gencom mapping: [<1 0 1 3 1 2|, <0 0 7 -1 13 9|]
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| Mapping: [<1 1 3 1 2|, <0 7 -1 13 9|]
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| EDOs: {{EDOs|16, 21, 37, 206bce, 243bce, 280bce, 317bce, 354bce, 391bce}}
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| [[Tp_tuning#T2 tuning|RMS error]]: 0.5433 cents
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| [[File:shoe_37edo.jpg|alt=shoe_37edo.jpg|shoe_37edo.jpg]]
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| [[shoe5|shoe5]] - five note mini [[haplotonic_scale|haplotonic scale]]
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| [[shoe6|shoe6]] - six note [[haplotonic_scale|haplotonic scale]] | |
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| [[shoe11|shoe11]] - eleven note note [[albitonic_scale|albitonic scale]] | |
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| [[shoe16|shoe16]] - sixteen note [[chromatic_scale|chromatic scale]] | |
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| == Roulette == | | == Roulette == |
| {{ See also | Mediantone }} | | {{See also | Hemimean clan #Roulette }} |
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| Subgroup: 2.5.7.11.13
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| Commas: 176/175, 1375/1372, 640/637
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| Sval name: 6&25
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| Related temperament: [[Würschmidt_family|Hemiwürschmidt]]
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| [[Tp_tuning|POT2 generator]]: ~28/25 = 194.594
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| [[Gencom|Gencom]]: [2 28/25; 176/175 1375/1372 640/637]
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| Gencom mapping: [<1 0 2 2 2 5|, <0 0 2 5 9 -8|]
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| Mapping: [<1 0 -3 -7 13|, <0 2 5 9 -8|]
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| EDOs: {{EDOs|6, 7, 13, 19, 25, 31, 37}}
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| [[Tp_tuning#T2 tuning|RMS error]]: 0.5567 cents
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| [[File:roulette_37edo.jpg|alt=roulette_37edo.jpg|roulette_37edo.jpg]]
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| [[roulette6|roulette6]] - six note [[haplotonic_scale|haplotonic scale]]
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| [[roulette7|roulette7]] - seven note [[albitonic_scale|albitonic scale]]
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| [[roulette13|roulette13]] - thirteen note [[chromatic_scale|chromatic scale]] | | [[File:roulette_37edo.jpg|right|alt=roulette_37edo.jpg|Roulette in 37edo]] |
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| [[roulette19|roulette19]] - nineteen note [[mega_chromatic_scale|mega chromatic scale]] | | Scales: |
| | * [[roulette6]] – 6-tone haplotonic scale |
| | * [[roulette7]] – 7-tone albitonic scale |
| | * [[roulette13]] – 13-tone chromatic scale |
| | * [[roulette19]] – 19-tone mega-chromatic scale |
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| == Silver == | | == Silver == |