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Starling family: Difference between revisions

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Edo lists and comma lists reviewed
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: Eigenmonzos: 2, 8/7, 4/3
: Eigenmonzos: 2, 8/7, 4/3


{{Val list|legend=1| 12, 15, 16, 19, 27, 31, 34, 43, 46, 50, 58, 65, 77, 108, 166c, 185, 243c }}
{{Val list|legend=1| 7d, 8d, 12, 19, 27, 31, 46, 58, 77, 135c, 166c }}


[[Badness]]: 0.0699 × 10<sup>-3</sup>
[[Badness]]: 0.0699 × 10<sup>-3</sup>
Line 65: Line 65:
Mapping generators: ~2, ~3, ~5
Mapping generators: ~2, ~3, ~5


{{Val list|legend=1| 15, 19, 27, 31, 46, 77, 96d, 127d, 173d, 204de, 300de }}
{{Val list|legend=1| 12e, 15, 19, 27, 31, 46, 77, 96d, 127d, 173d, 204de }}


[[Badness]]: 0.677 × 10<sup>-3</sup>
[[Badness]]: 0.677 × 10<sup>-3</sup>
Line 89: Line 89:
: [[Eigenmonzo]]s: 2, 7/6, 4/3
: [[Eigenmonzo]]s: 2, 7/6, 4/3


{{Val list|legend=1| 12, 15, 31, 46, 58, 89, 135c, 224c }}
{{Val list|legend=1| 12, 15, 19e, 27e, 31, 46, 58, 89, 135c, 193c, 224c }}


[[Badness]]: 0.353 × 10<sup>-3</sup>
[[Badness]]: 0.353 × 10<sup>-3</sup>
Line 106: Line 106:
Mapping: [{{val| 1 0 0 -1 -5 0 }}, {{val| 0 1 0 -2 -2 -5 }}, {{val| 0 0 1 3 5 5 }}]
Mapping: [{{val| 1 0 0 -1 -5 0 }}, {{val| 0 1 0 -2 -2 -5 }}, {{val| 0 0 1 3 5 5 }}]


Vals: {{Val list| 31, 46, 58, 89f, 104c, 135c, 193cf, 239cf, 328cf }}
Vals: {{Val list| 12f, 19e, 27e, 31, 46, 58, 104c, 135c, 193cf }}


Badness: 0.677 × 10<sup>-3</sup>
Badness: 0.677 × 10<sup>-3</sup>
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Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Comma list: 126/125, 176/175, 144/143
Comma list: 126/125, 144/143, 176/175


Mapping: [{{val| 1 0 0 -1 -5 9 }}, {{val| 0 1 0 -2 -2 4 }}, {{val| 0 0 1 3 5 -5 }}]
Mapping: [{{val| 1 0 0 -1 -5 9 }}, {{val| 0 1 0 -2 -2 4 }}, {{val| 0 0 1 3 5 -5 }}]


Vals: {{Val list| 12, 15, 31, 43, 48c, 58, 147cf, 205cef }}
Vals: {{Val list| 12, 15, 27e, 31, 43, 58, 147cf, 205cceff, 263ccdeefff }}


Badness: 0.915 × 10<sup>-3</sup>
Badness: 0.915 × 10<sup>-3</sup>
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Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Comma list: 126/125, 176/175, 66/65
Comma list: 66/65, 126/125, 176/175


Mapping: [{{val| 1 0 0 -1 -5 -4 }}, {{val| 0 1 0 -2 -2 -1 }}, {{val| 0 0 1 3 5 4 }}]
Mapping: [{{val| 1 0 0 -1 -5 -4 }}, {{val| 0 1 0 -2 -2 -1 }}, {{val| 0 0 1 3 5 4 }}]


Vals: {{Val list| 15, 19f, 21e, 22f, 28, 31, 46, 58, 89, 108ef }}
Vals: {{Val list| 12f, 15, 19e, 27eff, 31 }}


Badness: 0.837 × 10<sup>-3</sup>
Badness: 0.837 × 10<sup>-3</sup>
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Mapping: [{{val| 1 0 0 -1 -5 2 }}, {{val| 0 1 0 -2 -2 4 }}, {{val| 0 0 1 3 5 -2 }}]
Mapping: [{{val| 1 0 0 -1 -5 2 }}, {{val| 0 1 0 -2 -2 4 }}, {{val| 0 0 1 3 5 -2 }}]


Vals: {{Val list| 12, 15, 46 }}
Vals: {{Val list| 12, 15, 19e, 27e, 31f, 46 }}


Badness: 0.991 × 10<sup>-3</sup>
Badness: 0.991 × 10<sup>-3</sup>
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: [[Eigenmonzo]]s: 2, 8/7, 11/9
: [[Eigenmonzo]]s: 2, 8/7, 11/9


{{Val list|legend=1| 12, 15, 19, 27e, 34, 46e, 58e, 61e, 73e }}
{{Val list|legend=1| 7d, 8d, 12, 15, 19, 27e }} <nowiki>*</nowiki>
 
<nowiki>*</nowiki> [[optimal patent val]]: [[34edo|34]]


[[Badness]]: 0.480 × 10<sup>-3</sup>
[[Badness]]: 0.480 × 10<sup>-3</sup>
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Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Comma list: 126/125, 100/99, 91/90
Comma list: 91/90, 100/99, 126/125


Mapping: [{{val| 1 0 0 -1 2 2 }}, {{val| 0 1 0 -2 -2 4 }}, {{val| 0 0 1 3 2 -2 }}]
Mapping: [{{val| 1 0 0 -1 2 2 }}, {{val| 0 1 0 -2 -2 4 }}, {{val| 0 0 1 3 2 -2 }}]


Vals: {{Val list| 12, 15, 18, 25e, 27e, 34, 46e, 51ce, 61e }}
Vals: {{Val list| 7d, 8d, 12, 15, 19, 27e, 69bceef }} <nowiki>*</nowiki>
 
<nowiki>*</nowiki> optimal patent val: [[34edo|34]]


Badness: 0.876 × 10<sup>-3</sup>
Badness: 0.876 × 10<sup>-3</sup>
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Mapping: [{{val| 1 0 0 -1 2 3 }}, {{val| 0 1 0 -2 -2 -1 }}, {{val| 0 0 1 3 2 1 }}]
Mapping: [{{val| 1 0 0 -1 2 3 }}, {{val| 0 1 0 -2 -2 -1 }}, {{val| 0 0 1 3 2 1 }}]


Vals: {{Val list| 12f, 15, 27ef }}
Vals: {{Val list| 7d, 8d, 12f, 15, 27eff }}


Badness: 0.859 × 10<sup>-3</sup>
Badness: 0.859 × 10<sup>-3</sup>
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Mapping: [{{val| 1 0 0 -1 2 0 }}, {{val| 0 1 0 -2 -2 -5 }}, {{val| 0 0 1 3 2 5 }}]
Mapping: [{{val| 1 0 0 -1 2 0 }}, {{val| 0 1 0 -2 -2 -5 }}, {{val| 0 0 1 3 2 5 }}]


Vals: {{Val list| 12, 15, 17c, 19, 22ef], 27e, 34, 58e }}
Vals: {{Val list| 7df, 8d, 12f, 19, 27e, 66cdeeef }}


Badness: 0.905 × 10<sup>-3</sup>
Badness: 0.905 × 10<sup>-3</sup>
Line 209: Line 213:
[[Mapping]]: [{{val| 1 0 0 -1 4 }}, {{val| 0 1 0 -2 7 }}, {{val| 0 0 1 3 -5 }}]
[[Mapping]]: [{{val| 1 0 0 -1 4 }}, {{val| 0 1 0 -2 7 }}, {{val| 0 0 1 3 -5 }}]


{{Val list|legend=1| 19, 31, 58, 67, 89, 197c, 286ce, 375ce }}
{{Val list|legend=1| 12e, 19, 27e, 31, 58, 89, 197c, 228c }}


[[Badness]]: 0.648 × 10<sup>-3</sup>
[[Badness]]: 0.648 × 10<sup>-3</sup>
Line 220: Line 224:
Mapping: [{{val| 1 0 0 -1 4 0 }}, {{val| 0 1 0 -2 7 -5 }}, {{val| 0 0 1 3 -5 5 }}]
Mapping: [{{val| 1 0 0 -1 4 0 }}, {{val| 0 1 0 -2 7 -5 }}, {{val| 0 0 1 3 -5 5 }}]


Vals: {{Val list| 19, 31, 41, 43, 50, 58, 89f, 125ce, 135ce, 147cf, 166cef, 224cef }}
Vals: {{Val list| 8d, 19, 27e, 31, 50, 58, 166cef, 224ceeff }}


Badness: 0.821 × 10<sup>-3</sup>
Badness: 0.821 × 10<sup>-3</sup>
Line 231: Line 235:
[[Mapping]]: [{{val| 1 0 1 2 2 }}, {{val| 0 1 1 1 1 }}, {{val| 0 0 -2 -6 -1 }}]
[[Mapping]]: [{{val| 1 0 1 2 2 }}, {{val| 0 1 1 1 1 }}, {{val| 0 0 -2 -6 -1 }}]


{{Val list|legend=1| 8d, 15, 31, 46, 77, 185e, 262cde }}
{{Val list|legend=1| 7d, 8d, 15, 23de, 24d, 31, 46, 77 }}


[[Badness]]: 0.699 × 10<sup>-3</sup>
[[Badness]]: 0.699 × 10<sup>-3</sup>
Line 242: Line 246:
Mapping: [{{val| 1 0 1 2 2 2 }}, {{val| 0 1 1 1 1 1 }}, {{val| 0 0 -2 -6 -1 -1 }}]
Mapping: [{{val| 1 0 1 2 2 2 }}, {{val| 0 1 1 1 1 1 }}, {{val| 0 0 -2 -6 -1 -1 }}]


Vals: {{Val list| 15, 31, 46f, 70f, 101f }}
Vals: {{Val list| 7d, 8d, 15, 23de, 24d, 31 }}


Badness: 1.093 × 10<sup>-3</sup>
Badness: 1.093 × 10<sup>-3</sup>
Line 253: Line 257:
[[Mapping]]: [{{val| 1 0 0 -1 -3 }}, {{val| 0 1 0 -2 7 }}, {{val| 0 0 1 3 -2 }}]
[[Mapping]]: [{{val| 1 0 0 -1 -3 }}, {{val| 0 1 0 -2 7 }}, {{val| 0 0 1 3 -2 }}]


{{Val list|legend=1| 34, 46, 119c, 165c }}
{{Val list|legend=1| 7d, 12e, 19e, 27e, 39d, 46, 119c }}


[[Badness]]: 1.585 × 10<sup>-3</sup>
[[Badness]]: 1.585 × 10<sup>-3</sup>
Line 264: Line 268:
Mapping: [{{val| 1 0 0 -1 -3 2 }}, {{val| 0 1 0 -2 7 4 }}, {{val| 0 0 1 3 -2 -2 }}]
Mapping: [{{val| 1 0 0 -1 -3 2 }}, {{val| 0 1 0 -2 7 4 }}, {{val| 0 0 1 3 -2 -2 }}]


Vals: {{Val list| 34, 46, 172cd, 218cdf, 264bcdf, 310bcdf }}
Vals: {{Val list| 7d, 12e, 19e, 27e, 46 }}


Badness: 1.588 × 10<sup>-3</sup>
Badness: 1.588 × 10<sup>-3</sup>
Line 275: Line 279:
[[Mapping]]: [{{val| 1 1 0 -3 2 }}, {{val| 0 2 0 -4 5 }}, {{val| 0 0 1 3 0 }}]
[[Mapping]]: [{{val| 1 1 0 -3 2 }}, {{val| 0 2 0 -4 5 }}, {{val| 0 0 1 3 0 }}]


{{Val list|legend=1| 31, 34, 58, 65, 89, 154, 185, 216 }}
{{Val list|legend=1| 24d, 27e, 31, 58, 89, 154, 185 }}


[[Badness]]: 0.933 × 10<sup>-3</sup>
[[Badness]]: 0.933 × 10<sup>-3</sup>
Line 286: Line 290:
Mapping: [{{val| 1 1 0 -3 2 -5 }}, {{val| 0 2 0 -4 5 -10 }}, {{val| 0 0 1 3 0 5 }}]
Mapping: [{{val| 1 1 0 -3 2 -5 }}, {{val| 0 2 0 -4 5 -10 }}, {{val| 0 0 1 3 0 5 }}]


Vals: {{Val list| 31, 58, 65f, 89f, 92e, 154, 185, 216f }}
Vals: {{Val list| 27e, 31, 58, 96d, 154 }}


[[Category:Regular temperament theory]]
[[Category:Regular temperament theory]]
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