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Werckismic temperaments: Difference between revisions

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"optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence
Line 31: Line 31:
: Eigenmonzos: 2, 5, 11, 9/7
: Eigenmonzos: 2, 5, 11, 9/7


{{Val list|legend=1| 12, 15, 19e, 26, 27e, 31, 41, 58, 72, 118, 130, 190, 248, 289, 320, 609d }}
{{Optimal ET sequence|legend=1| 12, 15, 19e, 26, 27e, 31, 41, 58, 72, 118, 130, 190, 248, 289, 320, 609d }}


== History ==
== History ==
Line 47: Line 47:
: Eigenmonzos: 2, 11, 9/7
: Eigenmonzos: 2, 11, 9/7


{{Val list|legend=1| 14c, 15, 29, 43, 57, 58, 72, 130, 202, 217, 289, 491 }}
{{Optimal ET sequence|legend=1| 14c, 15, 29, 43, 57, 58, 72, 130, 202, 217, 289, 491 }}


[[Badness]]: 0.604 × 10<sup>-3</sup>
[[Badness]]: 0.604 × 10<sup>-3</sup>
Line 65: Line 65:
: Eigenmonzos: 2, 5, 13/7
: Eigenmonzos: 2, 5, 13/7


Vals: {{Val list| 14cf, 15, 29, 43, 58, 72, 87, 130, 217, 289 }}
{{Optimal ET sequence|legend=1| 14cf, 15, 29, 43, 58, 72, 87, 130, 217, 289 }}


Badness: 0.540 × 10<sup>-3</sup>
Badness: 0.540 × 10<sup>-3</sup>
Line 81: Line 81:
Mapping generators: ~567/400, ~3, ~5
Mapping generators: ~567/400, ~3, ~5


{{Val list|legend=1| 12, 26, 34, 46, 58, 72, 118, 130, 202, 320, 450, 522, 972bd, 1174bd }}
{{Optimal ET sequence|legend=1| 12, 26, 34, 46, 58, 72, 118, 130, 202, 320, 450, 522, 972bd, 1174bd }}


[[Badness]]: 0.501 × 10<sup>-3</sup>
[[Badness]]: 0.501 × 10<sup>-3</sup>
Line 92: Line 92:
[[Mapping]]: [{{val| 2 0 0 9 12 }}, {{val| 0 1 0 -4 -6 }}, {{val| 0 0 1 2 3 }}]
[[Mapping]]: [{{val| 2 0 0 9 12 }}, {{val| 0 1 0 -4 -6 }}, {{val| 0 0 1 2 3 }}]


{{Val list|legend=1| 12, 26, 44ce, 46, 58, 72, 118, 130, 190, 248, 320 }}
{{Optimal ET sequence|legend=1| 12, 26, 44ce, 46, 58, 72, 118, 130, 190, 248, 320 }}


[[Badness]]: 0.419 × 10<sup>-3</sup>
[[Badness]]: 0.419 × 10<sup>-3</sup>
Line 103: Line 103:
Mapping: [{{val| 2 0 0 9 12 11 }}, {{val| 0 1 0 -4 -6 -7 }}, {{val| 0 0 1 2 3 4 }}]
Mapping: [{{val| 2 0 0 9 12 11 }}, {{val| 0 1 0 -4 -6 -7 }}, {{val| 0 0 1 2 3 4 }}]


Vals: {{Val list| 12f, 14cf, 26, 46, 58, 72, 130 }}
{{Optimal ET sequence|legend=1| 12f, 14cf, 26, 46, 58, 72, 130 }}


Badness: 0.636 × 10<sup>-3</sup>
Badness: 0.636 × 10<sup>-3</sup>
Line 117: Line 117:
Mapping generators: ~2, ~7/5, ~5
Mapping generators: ~2, ~7/5, ~5


{{Val list|legend=1| 27, 31, 58, 87, 118, 267d, 385d, 412d }} <nowiki>*</nowiki>
{{Optimal ET sequence|legend=1| 27, 31, 58, 87, 118, 267d, 385d, 412d }} <nowiki>*</nowiki>


<nowiki>*</nowiki> [[optimal patent val]]: [[294edo|294]]
<nowiki>*</nowiki> [[optimal patent val]]: [[294edo|294]]
Line 132: Line 132:
[[Mapping]]: [{{val| 1 4 0 0 5 }}, {{val| 0 -5 0 1 -8 }}, {{val| 0 0 1 1 1 }}]
[[Mapping]]: [{{val| 1 4 0 0 5 }}, {{val| 0 -5 0 1 -8 }}, {{val| 0 0 1 1 1 }}]


{{Val list|legend=1| 27e, 31, 58, 87, 118, 294, 412d }}
{{Optimal ET sequence|legend=1| 27e, 31, 58, 87, 118, 294, 412d }}


[[Badness]]: 0.512 × 10<sup>-3</sup>
[[Badness]]: 0.512 × 10<sup>-3</sup>
Line 143: Line 143:
Mapping: [{{val| 1 4 0 0 5 -2 }}, {{val| 0 -5 0 1 -8 7 }}, {{val| 0 0 1 1 1 1 }}]
Mapping: [{{val| 1 4 0 0 5 -2 }}, {{val| 0 -5 0 1 -8 7 }}, {{val| 0 0 1 1 1 1 }}]


Vals: {{Val list| 27e, 29, 31, 56, 58, 87, 118, 145, 232 }}
{{Optimal ET sequence|legend=1| 27e, 29, 31, 56, 58, 87, 118, 145, 232 }}


Badness: 0.814 × 10<sup>-3</sup>
Badness: 0.814 × 10<sup>-3</sup>
Line 156: Line 156:
Mapping generators: ~2, ~13/11, ~5
Mapping generators: ~2, ~13/11, ~5


Vals: {{Val list| 29, 54ceeff, 58, 87, 145, 149, 207, 236d, 294 }}
{{Optimal ET sequence|legend=1| 29, 54ceeff, 58, 87, 145, 149, 207, 236d, 294 }}


Badness: 1.478 × 10<sup>-3</sup>
Badness: 1.478 × 10<sup>-3</sup>
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