Chromatic pairs: Difference between revisions

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== Photia ==
== Photia ==
Subgroup: 2.3.5.17.19
{{See also| Schismatic family #Photia (2.3.5.17) }}


Commas: 171/170, 256/255, 324/323
[[File:photia_65edo.png|right|alt=photia_65edo.png|Photia in 65edo]]


Sval name: 12&41
Scales:  
* [[photia7]] – 7-tone albitonic scale
* [[photia12]] – 12-tone chromatic scale


Related temperament: [[Schismatic_family|schismatic]]
== Shoe a.k.a. llywelyn ==
{{See also| Llywelynsmic clan #Llywelyn a.k.a. shoe }}


[[Tp_tuning|POT2 generator]]: ~3/2 = 701.470
[[File:shoe_37edo.jpg|right|alt=shoe_37edo.jpg|Shoe in 37edo]]


[[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
 
EDOs: {{EDOs|7, 12, 17, 29, 41, 53, 65, 142d, 207d, 272d}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.5374 cents
 
[[File:photia_65edo.png|alt=photia_65edo.png|photia_65edo.png]]
 
[[photia7|Seven note albitonic scale]]
 
[[photia12|Twelve note chromatic scale]]
 
== Shoe ==
Subgroup: 2.5.7.11.13
 
Commas: 176/175, 640/637, 847/845
 
Sval name: 16&21
 
[[Tp_tuning|POT2 generator]]: ~8/7 = 227.108
 
[[Gencom|Gencom]]: [2 8/7; 176/175 640/637 847/845]
 
Gencom mapping: [<1 0 1 3 1 2|, <0 0 7 -1 13 9|]
 
Mapping: [<1 1 3 1 2|, <0 7 -1 13 9|]
 
EDOs: {{EDOs|16, 21, 37, 206bce, 243bce, 280bce, 317bce, 354bce, 391bce}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.5433 cents
 
[[File:shoe_37edo.jpg|alt=shoe_37edo.jpg|shoe_37edo.jpg]]
 
[[shoe5|shoe5]] - five note mini [[haplotonic_scale|haplotonic scale]]
 
[[shoe6|shoe6]] - six note [[haplotonic_scale|haplotonic scale]]
 
[[shoe11|shoe11]] - eleven note note [[albitonic_scale|albitonic scale]]
 
[[shoe16|shoe16]] - sixteen note [[chromatic_scale|chromatic scale]]


== Roulette ==
== Roulette ==
{{ See also | Mediantone }}
{{See also | Hemimean clan #Roulette }}
 
Subgroup: 2.5.7.11.13
 
Commas: 176/175, 1375/1372, 640/637
 
Sval name: 6&25
 
Related temperament: [[Würschmidt_family|Hemiwürschmidt]]
 
[[Tp_tuning|POT2 generator]]: ~28/25 = 194.594
 
[[Gencom|Gencom]]: [2 28/25; 176/175 1375/1372 640/637]
 
Gencom mapping: [<1 0 2 2 2 5|, <0 0 2 5 9 -8|]
 
Mapping: [<1 0 -3 -7 13|, <0 2 5 9 -8|]
 
EDOs: {{EDOs|6, 7, 13, 19, 25, 31, 37}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.5567 cents
 
[[File:roulette_37edo.jpg|alt=roulette_37edo.jpg|roulette_37edo.jpg]]
 
[[roulette6|roulette6]] - six note [[haplotonic_scale|haplotonic scale]]
 
[[roulette7|roulette7]] - seven note [[albitonic_scale|albitonic scale]]


[[roulette13|roulette13]] - thirteen note [[chromatic_scale|chromatic scale]]
[[File:roulette_37edo.jpg|right|alt=roulette_37edo.jpg|Roulette in 37edo]]


[[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


== Silver ==
== Silver ==