Hemimean family: Difference between revisions

Cmloegcmluin (talk | contribs)
add unchanged-intervals along with eigenmonzo, per prior agreement on Xenwiki Work Group
Cmloegcmluin (talk | contribs)
"optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence
Line 25: Line 25:
: [[Eigenmonzo basis]] ([[unchanged-interval basis]]): 2.3.7
: [[Eigenmonzo basis]] ([[unchanged-interval basis]]): 2.3.7


{{Val list|legend=1| 12, 19, 31, 68, 80, 87, 99, 217, 229, 328, 347, 446, 675c }}
{{Optimal ET sequence|legend=1| 12, 19, 31, 68, 80, 87, 99, 217, 229, 328, 347, 446, 675c }}


[[Badness]]: 0.160 × 10<sup>-3</sup>
[[Badness]]: 0.160 × 10<sup>-3</sup>
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Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 702.1960, ~28/25 = 193.6548
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 702.1960, ~28/25 = 193.6548


Optimal GPV sequence: {{Val list| 12, 19g, 31g, …, 87, 99, 217, 229, 316, 328h, 446, 545c, 873cg }}
{{Optimal ET sequence|legend=1| 12, 19g, 31g, …, 87, 99, 217, 229, 316, 328h, 446, 545c, 873cg }}


Badness: 0.573
Badness: 0.573
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Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 702.132, ~19/17 = 193.647
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 702.132, ~19/17 = 193.647


Optimal GPV sequence: {{Val list| 12, 19gh, 31gh, …, 87, 99, 118, 210gh, 217, 229, 328h, 446 }}
{{Optimal ET sequence|legend=1| 12, 19gh, 31gh, …, 87, 99, 118, 210gh, 217, 229, 328h, 446 }}


Badness: 0.456
Badness: 0.456
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Optimal tuning (CTE): ~17/12 = 1\2, ~3/2 = 702.3471, ~28/25 = 193.6499
Optimal tuning (CTE): ~17/12 = 1\2, ~3/2 = 702.3471, ~28/25 = 193.6499


Optimal GPV sequence: {{Val list| 12, 30d, 38d, 50, 62, 68, 106d, 118, 248g, 316g }}
{{Optimal ET sequence|legend=1| 12, 30d, 38d, 50, 62, 68, 106d, 118, 248g, 316g }}


Badness: 1.095
Badness: 1.095
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Optimal tuning (CTE): ~17/12 = 1\2, ~3/2 = 702.509, ~28/25 = 193.669
Optimal tuning (CTE): ~17/12 = 1\2, ~3/2 = 702.509, ~28/25 = 193.669


Optimal GPV sequence: {{Val list| 12, …, 50, 68, 106d, 118, 248g, 316g }}
{{Optimal ET sequence|legend=1| 12, …, 50, 68, 106d, 118, 248g, 316g }}


Badness: 0.569
Badness: 0.569
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: [[Eigenmonzo basis]] ([[unchanged-interval basis]]): 2.9/7.11/5
: [[Eigenmonzo basis]] ([[unchanged-interval basis]]): 2.9/7.11/5


{{Val list|legend=1| 12, 19e, 31, 68e, 87, 99e, 118, 130, 217, 248 }}
{{Optimal ET sequence|legend=1| 12, 19e, 31, 68e, 87, 99e, 118, 130, 217, 248 }}


[[Badness]]: 0.609 × 10<sup>-3</sup>
[[Badness]]: 0.609 × 10<sup>-3</sup>
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Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 701.8219, ~28/25 = 193.5816
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 701.8219, ~28/25 = 193.5816


Optimal GPV sequence: {{Val list| 31, 43, 56, 74, 87, 118, 130, 217, 248, 347e, 378, 465, 595e }}
{{Optimal ET sequence|legend=1| 31, 43, 56, 74, 87, 118, 130, 217, 248, 347e, 378, 465, 595e }}


Badness: 1.11 × 10<sup>-3</sup>
Badness: 1.11 × 10<sup>-3</sup>
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Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 702.5667, ~28/25 = 193.2493
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 702.5667, ~28/25 = 193.2493


Optimal GPV sequence: {{Val list| 12f, 19e, 31, 56, 68e, 87, 118, 186ef, 205d }}
{{Optimal ET sequence|legend=1| 12f, 19e, 31, 56, 68e, 87, 118, 186ef, 205d }}


Badness: 1.26 × 10<sup>-3</sup>
Badness: 1.26 × 10<sup>-3</sup>
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: [[Eigenmonzo basis]] ([[unchanged-interval basis]]): 2.3.11/10
: [[Eigenmonzo basis]] ([[unchanged-interval basis]]): 2.3.11/10


{{Val list|legend=1| 12e, 18e, 19, 31, 68e, 80, 99e, 130, 210e, 241, 340ce, 371ce, 470cdee, 501cde, 581cdee, 711ccdee }}
{{Optimal ET sequence|legend=1| 12e, 18e, 19, 31, 68e, 80, 99e, 130, 210e, 241, 340ce, 371ce, 470cdee, 501cde, 581cdee, 711ccdee }}


[[Badness]]: 0.870 × 10<sup>-3</sup>
[[Badness]]: 0.870 × 10<sup>-3</sup>
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[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 702.2875, ~18/11 = 854.3132
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 702.2875, ~18/11 = 854.3132


{{Val list|legend=1| 24d, 31, 80, 87, 111, 118, 198, 316, 514c, 545c }}
{{Optimal ET sequence|legend=1| 24d, 31, 80, 87, 111, 118, 198, 316, 514c, 545c }}


[[Badness]]: 0.819 × 10<sup>-3</sup>
[[Badness]]: 0.819 × 10<sup>-3</sup>