Sengic family: Difference between revisions
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[[Projection pair]]s: 5 3375/686 7 675/98 to 2.3.7/5 | [[Projection pair]]s: 5 3375/686 7 675/98 to 2.3.7/5 | ||
= Demeter = | == Demeter == | ||
Commas: 441/440, 686/675 | Commas: 441/440, 686/675 | ||
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EDOs: {{Vals| 10, 17c, 19e, 27e, 29, 46 }} | EDOs: {{Vals| 10, 17c, 19e, 27e, 29, 46 }} | ||
== 13-limit == | === 13-limit === | ||
Commas: 91/90, 169/168, 352/351 | Commas: 91/90, 169/168, 352/351 | ||
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EDOs: {{Vals| 10, 17c, 19e, 27e, 29, 46 }} | EDOs: {{Vals| 10, 17c, 19e, 27e, 29, 46 }} | ||
== 17-limit == | === 17-limit === | ||
Commas: 91/90, 136/135, 154/153, 169/168 | Commas: 91/90, 136/135, 154/153, 169/168 | ||
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EDOs: {{Vals| 10, 17cg, 19eg, 27eg, 29g, 46 }} | EDOs: {{Vals| 10, 17cg, 19eg, 27eg, 29g, 46 }} | ||
= Krypton = | == Krypton == | ||
Commas: 56/55, 540/539 | Commas: 56/55, 540/539 | ||
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Projection pairs: 5 6912/1331 7 854/121 to 2.3.11 | Projection pairs: 5 6912/1331 7 854/121 to 2.3.11 | ||
== 13-limit == | === 13-limit === | ||
Commas: 56/55, 78/77, 91/90 | Commas: 56/55, 78/77, 91/90 | ||
Revision as of 21:52, 1 June 2021
Sengic family is a collection of the planar temperaments tempering out the senga comma, 686/675.
Comma: 686/675
Map: [ ⟨1 0 2 1], ⟨0 1 0 1], ⟨0 0 3 2] ]
POTE generators: 2, ~3/2 = 704.154, ~15/14 = 129.824
Badness: 0.000320
Projection pairs: 5 3375/686 7 675/98 to 2.3.7/5
Demeter
Commas: 441/440, 686/675
Map: [ ⟨1 0 2 1 -3], ⟨0 1 0 1 4], ⟨0 0 3 2 1] ]
POTE generators: 2, ~3/2 = 705.518, ~15/14 = 130.039
EDOs: 10, 17c, 19e, 27e, 29, 46
13-limit
Commas: 91/90, 169/168, 352/351
Map: [ ⟨1 0 2 1 -3 2], ⟨0 1 0 1 4 1], ⟨0 0 3 2 1 1] ]
POTE generators: 2, ~3/2 = 705.113, ~13/12 = 129.673
EDOs: 10, 17c, 19e, 27e, 29, 46
17-limit
Commas: 91/90, 136/135, 154/153, 169/168
Map: [ ⟨1 0 2 1 -3 2 -1], ⟨0 1 0 1 4 1 3], ⟨0 0 3 2 1 1 3] ]
POTE generators: 2, ~3/2 = 705.147, ~13/12 = 129.700
EDOs: 10, 17cg, 19eg, 27eg, 29g, 46
Krypton
Commas: 56/55, 540/539
Map: [ ⟨1 0 2 1 2], ⟨0 1 0 1 1], ⟨0 0 3 2 -1] ]
POTE generators: 2, ~3/2 = 705.978, ~12/11 = 132.544
EDOs: 8d, 9, 10, 17c, 19, 27e, 36
Badness: 0.000856
Projection pairs: 5 6912/1331 7 854/121 to 2.3.11
13-limit
Commas: 56/55, 78/77, 91/90
Map: [ ⟨1 0 2 1 2 2], ⟨0 1 0 1 1 1], ⟨0 0 3 2 -1 1] ]
POTE generators: 2, ~3/2 = 706.029, ~12/11 = 132.428
EDOs: 8d, 9, 10, 17c, 19, 27e, 36
Badness: 0.000727
Projection pairs: 5 6912/1331 7 854/121 13 144/11 to 2.3.11