Swetismic temperaments: Difference between revisions

m +link to gamel and -typo
Cmloegcmluin (talk | contribs)
"optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence
Line 28: Line 28:
Mapping generators: ~2, ~3, ~5, ~7
Mapping generators: ~2, ~3, ~5, ~7


{{Val list|legend=1| 9, 10, 19, 22, 31, 41, 53, 58, 72, 130, 152, 224, 354, 537, 578 }}
{{Optimal ET sequence|legend=1| 9, 10, 19, 22, 31, 41, 53, 58, 72, 130, 152, 224, 354, 537, 578 }}


== Hades ==
== Hades ==
Line 40: Line 40:
Mapping generators: ~343/243, ~9/7, ~5
Mapping generators: ~343/243, ~9/7, ~5


{{Val list|legend=1| 22, 50, 58, 72, 130, 152, 202, 224, 354 }}
{{Optimal ET sequence|legend=1| 22, 50, 58, 72, 130, 152, 202, 224, 354 }}


[[Badness]]: 0.748 × 10<sup>-3</sup>
[[Badness]]: 0.748 × 10<sup>-3</sup>
Line 51: Line 51:
[[Mapping]]: [{{val| 2 1 0 2 3 }}, {{val| 0 3 0 5 -1 }}, {{val| 0 0 1 0 1 }}]
[[Mapping]]: [{{val| 2 1 0 2 3 }}, {{val| 0 3 0 5 -1 }}, {{val| 0 0 1 0 1 }}]


{{Val list|legend=1| 22, 50, 58, 72, 130, 152, 224, 354, 506e, 578, 730e, 1084de, 1308dee }}
{{Optimal ET sequence|legend=1| 22, 50, 58, 72, 130, 152, 224, 354, 506e, 578, 730e, 1084de, 1308dee }}


[[Badness]]: 0.361 × 10<sup>-3</sup>
[[Badness]]: 0.361 × 10<sup>-3</sup>
Line 62: Line 62:
Mapping: [{{val| 2 1 0 2 3 -2 }}, {{val| 0 3 0 5 -1 13 }}, {{val| 0 0 1 0 1 0 }}]
Mapping: [{{val| 2 1 0 2 3 -2 }}, {{val| 0 3 0 5 -1 13 }}, {{val| 0 0 1 0 1 0 }}]


Vals: {{val list| 22f, 36, 58, 72, 130, 224, 354, 578 }}
{{Optimal ET sequence|legend=1| 22f, 36, 58, 72, 130, 224, 354, 578 }}


Badness: 0.535 × 10<sup>-3</sup>
Badness: 0.535 × 10<sup>-3</sup>
Line 73: Line 73:
Mapping: [{{val| 2 1 0 2 3 1 }}, {{val| 0 3 0 5 -1 -4 }}, {{val| 0 0 1 0 1 2 }}]
Mapping: [{{val| 2 1 0 2 3 1 }}, {{val| 0 3 0 5 -1 -4 }}, {{val| 0 0 1 0 1 2 }}]


Vals: {{val list| 22, 50, 58, 72, 130 }}
{{Optimal ET sequence|legend=1| 22, 50, 58, 72, 130 }}


Badness: 0.766 × 10<sup>-3</sup>
Badness: 0.766 × 10<sup>-3</sup>
Line 86: Line 86:
Mapping generators: ~2, ~121/70, ~49/33
Mapping generators: ~2, ~121/70, ~49/33


{{Val list|legend=1| 9, 49, 58, 72, 130, 193, 202, 467 }}
{{Optimal ET sequence|legend=1| 9, 49, 58, 72, 130, 193, 202, 467 }}


[[Badness]]: 0.886 × 10<sup>-3</sup>
[[Badness]]: 0.886 × 10<sup>-3</sup>
Line 97: Line 97:
Mapping: [{{val| 1 0 2 1 2 1 }}, {{val| 0 2 4 3 4 7 }}, {{val| 0 0 -5 -1 -3 -5 }}]
Mapping: [{{val| 1 0 2 1 2 1 }}, {{val| 0 2 4 3 4 7 }}, {{val| 0 0 -5 -1 -3 -5 }}]


Vals: {{val list| 9, 54, 58, 72, 121, 130, 193 }}
{{Optimal ET sequence|legend=1| 9, 54, 58, 72, 121, 130, 193 }}


Badness: 0.724 × 10<sup>-3</sup>
Badness: 0.724 × 10<sup>-3</sup>
Line 110: Line 110:
Mapping generators: ~2, ~3, ~100/33
Mapping generators: ~2, ~3, ~100/33


{{Val list|legend=1| 50, 53, 58, 103, 108, 111, 161, 214, 272, 375, 1022bcde, 1236bcde, 1397bcde }}
{{Optimal ET sequence|legend=1| 50, 53, 58, 103, 108, 111, 161, 214, 272, 375, 1022bcde, 1236bcde, 1397bcde }}


[[Badness]]: 2.015 × 10<sup>-3</sup>
[[Badness]]: 2.015 × 10<sup>-3</sup>
Line 121: Line 121:
Mapping: [{{val| 1 0 4 -2 10 7 }}, {{val| 0 1 4 0 7 5 }}, {{val| 0 0 -5 3 -11 -7 }}]
Mapping: [{{val| 1 0 4 -2 10 7 }}, {{val| 0 1 4 0 7 5 }}, {{val| 0 0 -5 3 -11 -7 }}]


Vals: {{val list| 50, 53, 58, 103, 108, 111, 161, 214, 375, 700cdef, 861bcdef, 1075bcdef, 1236bcdef, 1450bcdef }}
{{Optimal ET sequence|legend=1| 50, 53, 58, 103, 108, 111, 161, 214, 375, 700cdef, 861bcdef, 1075bcdef, 1236bcdef, 1450bcdef }}


Badness: 0.997 × 10<sup>-3</sup>
Badness: 0.997 × 10<sup>-3</sup>
Line 134: Line 134:
Mapping generators: ~2, ~81/56, ~5
Mapping generators: ~2, ~81/56, ~5


{{Val list|legend=1| 19, 36, 53, 72, 161, 197e, 214, 233, 286, 358, 591be, 663be, 949bce }}
{{Optimal ET sequence|legend=1| 19, 36, 53, 72, 161, 197e, 214, 233, 286, 358, 591be, 663be, 949bce }}


[[Badness]]: 1.629 × 10<sup>-3</sup>
[[Badness]]: 1.629 × 10<sup>-3</sup>
Line 145: Line 145:
Mapping: [{{val| 1 0 0 -3 8 0 }}, {{val| 0 3 0 11 -13 7 }}, {{val| 0 0 1 0 1 0 }}]
Mapping: [{{val| 1 0 0 -3 8 0 }}, {{val| 0 3 0 11 -13 7 }}, {{val| 0 0 1 0 1 0 }}]


Vals: {{val list| 19, 36, 53, 72, 125f, 197ef }}
{{Optimal ET sequence|legend=1| 19, 36, 53, 72, 125f, 197ef }}


Badness: 1.439 × 10<sup>-3</sup>
Badness: 1.439 × 10<sup>-3</sup>