Jubilismic clan: Difference between revisions
Databoxes for diminished to lemba |
Finish databoxes |
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Optimal ([[POTE]]) generator: ~6/5 = 327.038 | Optimal ([[POTE]]) generator: ~6/5 = 327.038 | ||
EDO generators: [[22edo|6\22 | EDO generators: [[22edo|6\22]] | ||
Scales (Scala files): | Scales (Scala files): | ||
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Optimal ([[POTE]]) generator: ~6/5 = 327.841 | Optimal ([[POTE]]) generator: ~6/5 = 327.841 | ||
EDO generators: | EDO generators: [[22edo|6\22]] | ||
Scales (Scala files): | Scales (Scala files): | ||
| Line 259: | Line 259: | ||
Optimal ([[POTE]]) generator: ~6/5 = 323.427 | Optimal ([[POTE]]) generator: ~6/5 = 323.427 | ||
EDO generators: | EDO generators: [[26edo|7\26]] | ||
Scales (Scala files): | Scales (Scala files): | ||
| Line 285: | Line 285: | ||
Optimal ([[POTE]]) generator: ~6/5 = 323.396 | Optimal ([[POTE]]) generator: ~6/5 = 323.396 | ||
EDO generators: | EDO generators: [[26edo|7\26]] | ||
Scales (Scala files): | Scales (Scala files): | ||
| Line 306: | Line 306: | ||
= Lemba = | = Lemba = | ||
{{ | {{main| Lemba }} | ||
{{see also|Lemba}} | {{see also| Gamelismic clan #Lemba }} | ||
Period: 1\2 | Period: 1\2 | ||
| Line 386: | Line 386: | ||
= Crepuscular = | = Crepuscular = | ||
{{see also|Fifive family #Crepuscular}} | {{see also| Fifive family #Crepuscular }} | ||
Period: 1\2 | |||
Optimal ([[POTE]]) generator: ~27/25 = 140.349 | |||
EDO generators: [[26edo|3\26]], [[34edo|4\34]] | |||
Scales (Scala files): | |||
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"> | |||
<div style="line-height:1.6;">Technical data</div> | |||
<div class="mw-collapsible-content"> | |||
Subgroup: 2.3.5.7 | |||
Comma list: 50/49, 4375/4374 | Comma list: 50/49, 4375/4374 | ||
Mapping: [{{val| 2 2 3 4 }}, {{val| 0 5 7 7 }}] | Mapping: [{{val| 2 2 3 4 }}, {{val| 0 5 7 7 }}] | ||
| Line 399: | Line 411: | ||
Badness: 0.0867 | Badness: 0.0867 | ||
</div></div> | |||
== 11-limit == | == 11-limit == | ||
Period: 1\2 | |||
Optimal ([[POTE]]) generator: ~12/11 = 140.587 | |||
EDO generators: [[26edo|3\26]], [[34edo|4\34]] | |||
Scales (Scala files): | |||
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"> | |||
<div style="line-height:1.6;">Technical data</div> | |||
<div class="mw-collapsible-content"> | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 50/49, 99/98, 1944/1925 | Comma list: 50/49, 99/98, 1944/1925 | ||
Mapping: [{{val| 2 2 3 4 6 }}, {{val| 0 5 7 7 4 }}] | Mapping: [{{val| 2 2 3 4 6 }}, {{val| 0 5 7 7 4 }}] | ||
| Line 410: | Line 437: | ||
Badness: 0.0408 | Badness: 0.0408 | ||
</div></div> | |||
== 13-limit == | == 13-limit == | ||
Period: 1\2 | |||
Optimal ([[POTE]]) generator: ~12/11 = 140.554 | |||
EDO generators: [[26edo|3\26]], [[34edo|4\34]] | |||
Scales (Scala files): | |||
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"> | |||
<div style="line-height:1.6;">Technical data</div> | |||
<div class="mw-collapsible-content"> | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 50/49, 78/77, 99/98, 144/143 | Comma list: 50/49, 78/77, 99/98, 144/143 | ||
Mapping: [{{val| 2 2 3 4 6 6 }}, {{val| 0 5 7 7 4 6 }}] | Mapping: [{{val| 2 2 3 4 6 6 }}, {{val| 0 5 7 7 4 6 }}] | ||
| Line 421: | Line 463: | ||
Badness: 0.0244 | Badness: 0.0244 | ||
</div></div> | |||
= Bipyth = | = Bipyth = | ||
Period: 1\2 | |||
Optimal ([[POTE]]) generator: ~3/2 = 709.437 | |||
EDO generators: [[22edo|13\22]] | |||
Scales (Scala files): | |||
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"> | |||
<div style="line-height:1.6;">Technical data</div> | |||
<div class="mw-collapsible-content"> | |||
Subgroup: 2.3.5.7 | |||
Comma list: 50/49, 20480/19683 | Comma list: 50/49, 20480/19683 | ||
Mapping: [{{val| 2 0 -24 -23 }}, {{val| 0 1 9 9 }}] | Mapping: [{{val| 2 0 -24 -23 }}, {{val| 0 1 9 9 }}] | ||
{{Multival|legend=1| 2 18 18 24 23 -9 }} | {{Multival|legend=1| 2 18 18 24 23 -9 }} | ||
{{Val list|legend=1| 10cd, 12cd, 22 }} | |||
Badness: 0.1650 | Badness: 0.1650 | ||
</div></div> | |||
== 11-limit == | == 11-limit == | ||
Period: 1\2 | |||
Optimal ([[POTE]]) generator: ~3/2 = 709.310 | |||
EDO generators: [[22edo|13\22]] | |||
Scales (Scala files): | |||
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"> | |||
<div style="line-height:1.6;">Technical data</div> | |||
<div class="mw-collapsible-content"> | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 50/49, 121/120, 896/891 | Comma list: 50/49, 121/120, 896/891 | ||
Mapping: [{{val| 2 0 -24 -23 -9 }}, {{val| 0 1 9 9 5 }}] | Mapping: [{{val| 2 0 -24 -23 -9 }}, {{val| 0 1 9 9 5 }}] | ||
{{Val list|legend=1| 22 }} | {{Val list|legend=1| 10cd, 12cde, 22 }} | ||
Badness: 0.0709 | Badness: 0.0709 | ||
</div></div> | |||
= Elvis = | = Elvis = | ||
== 5-limit == | == 5-limit == | ||
Period: 1\2 | |||
Optimal ([[POTE]]) generator: ~45/32 = 554.546 | |||
EDO generators: [[26edo|12\26]] | |||
Scales (Scala files): | |||
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"> | |||
<div style="line-height:1.6;">Technical data</div> | |||
<div class="mw-collapsible-content"> | |||
Subgroup: 2.3.5 | |||
Comma list: 36905625/33554432 | Comma list: 36905625/33554432 | ||
Mapping: [{{val| 2 1 10 }}, {{val| 0 2 -5 }}] | Mapping: [{{val| 2 1 10 }}, {{val| 0 2 -5 }}] | ||
{{Val list|legend=1| | {{Val list|legend=1| 26, 80bc, 106bc, 132bc }} | ||
Badness: 0.8840 | Badness: 0.8840 | ||
</div></div> | |||
== 7-limit == | == 7-limit == | ||
Period: 1\2 | |||
Optimal ([[POTE]]) generator: ~45/32 = 553.721 | |||
EDO generators: [[26edo|12\26]] | |||
Scales (Scala files): | |||
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"> | |||
<div style="line-height:1.6;">Technical data</div> | |||
<div class="mw-collapsible-content"> | |||
Subgroup: 2.3.5.7 | |||
Comma list: 50/49, 8505/8192 | Comma list: 50/49, 8505/8192 | ||
Mapping: [{{val| 2 1 10 11 }}, {{val| 0 2 -5 -5 }}] | Mapping: [{{val| 2 1 10 11 }}, {{val| 0 2 -5 -5 }}] | ||
| Line 468: | Line 572: | ||
Badness: 0.1415 | Badness: 0.1415 | ||
</div></div> | |||
== 11-limit == | == 11-limit == | ||
Period: 1\2 | |||
Optimal ([[POTE]]) generator: ~11/8 = 553.882 | |||
EDO generators: [[26edo|12\26]] | |||
Scales (Scala files): | |||
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"> | |||
<div style="line-height:1.6;">Technical data</div> | |||
<div class="mw-collapsible-content"> | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 45/44, 50/49, 1344/1331 | Comma list: 45/44, 50/49, 1344/1331 | ||
Mapping: [{{val| 2 1 10 11 8 }}, {{val| 0 2 -5 -5 -1 }}] | Mapping: [{{val| 2 1 10 11 8 }}, {{val| 0 2 -5 -5 -1 }}] | ||
{{Val list|legend=1| | {{Val list|legend=1| 26 }} | ||
Badness: 0.0632 | Badness: 0.0632 | ||
</div></div> | |||
== 13-limit == | == 13-limit == | ||
Period: 1\2 | |||
Optimal ([[POTE]]) generator: ~11/8 = 553.892 | |||
EDO generators: [[26edo|12\26]] | |||
Scales (Scala files): | |||
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"> | |||
<div style="line-height:1.6;">Technical data</div> | |||
<div class="mw-collapsible-content"> | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 45/44, 50/49, 78/77, 1053/1024 | Comma list: 45/44, 50/49, 78/77, 1053/1024 | ||
Mapping: [{{val| 2 1 10 11 8 16 }}, {{val| 0 2 -5 -5 -1 -8 }}] | Mapping: [{{val| 2 1 10 11 8 16 }}, {{val| 0 2 -5 -5 -1 -8 }}] | ||
| Line 490: | Line 624: | ||
Badness: 0.0440 | Badness: 0.0440 | ||
</div></div> | |||
= Comic = | = Comic = | ||
== 5-limit == | == 5-limit == | ||
Period: 1\2 | |||
Optimal ([[POTE]]) generator: ~81/80 = 55.382 | |||
EDO generators: [[22edo|1\22]] | |||
Scales (Scala files): | |||
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"> | |||
<div style="line-height:1.6;">Technical data</div> | |||
<div class="mw-collapsible-content"> | |||
Subgroup: 2.3.5 | |||
Comma list: 5120000/4782969 | Comma list: 5120000/4782969 | ||
Mapping: [{{val| 2 1 -3 }}, {{val| 0 2 7 }}] | Mapping: [{{val| 2 1 -3 }}, {{val| 0 2 7 }}] | ||
{{Val list|legend=1| 22, 86b, 108b, 130b }} | {{Val list|legend=1| 20c, 22, 86b, 108b, 130b }} | ||
Badness: 0.4912 | Badness: 0.4912 | ||
</div></div> | |||
== 7-limit == | == 7-limit == | ||
Period: 1\2 | |||
Optimal ([[POTE]]) generator: ~81/80 = 54.699 | |||
EDO generators: [[22edo|1\22]] | |||
Scales (Scala files): | |||
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"> | |||
<div style="line-height:1.6;">Technical data</div> | |||
<div class="mw-collapsible-content"> | |||
Subgroup: 2.3.5.7 | |||
Comma list: 50/49, 2240/2187 | Comma list: 50/49, 2240/2187 | ||
Mapping: [{{val| 2 1 -3 -2 }}, {{val| 0 2 7 7 }}] | Mapping: [{{val| 2 1 -3 -2 }}, {{val| 0 2 7 7 }}] | ||
{{Multival|legend=1| 4 14 14 13 11 -7 }} | |||
{{Val list|legend=1| 22 }} | {{Val list|legend=1| 20cd, 22 }} | ||
Badness: 0.0844 | Badness: 0.0844 | ||
</div></div> | |||
== 11-limit == | == 11-limit == | ||
Period: 1\2 | |||
Optimal ([[POTE]]) generator: ~81/80 = 55.184 | |||
EDO generators: [[22edo|1\22]] | |||
Scales (Scala files): | |||
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"> | |||
<div style="line-height:1.6;">Technical data</div> | |||
<div class="mw-collapsible-content"> | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 50/49, 99/98, 2662/2625 | Comma list: 50/49, 99/98, 2662/2625 | ||
Mapping: [{{val| 2 1 -3 -2 -4 }}, {{val| 0 2 7 7 10 }}] | Mapping: [{{val| 2 1 -3 -2 -4 }}, {{val| 0 2 7 7 10 }}] | ||
{{Val list|legend=1| 22 }} | {{Val list|legend=1| 20cde, 22 }} | ||
Badness: 0.0451 | Badness: 0.0451 | ||
</div></div> | |||
== 13-limit == | == 13-limit == | ||
Period: 1\2 | |||
Optimal ([[POTE]]) generator: ~81/80 = 54.435 | |||
EDO generators: [[22edo|1\22]] | |||
Scales (Scala files): | |||
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"> | |||
<div style="line-height:1.6;">Technical data</div> | |||
<div class="mw-collapsible-content"> | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 50/49, 65/63, 99/98, 968/945 | Comma list: 50/49, 65/63, 99/98, 968/945 | ||
Mapping: [{{val| 2 1 -3 -2 -4 3 }}, {{val| 0 2 7 7 10 4 }}] | Mapping: [{{val| 2 1 -3 -2 -4 3 }}, {{val| 0 2 7 7 10 4 }}] | ||
| Line 537: | Line 731: | ||
Badness: 0.0415 | Badness: 0.0415 | ||
</div></div> | |||
= Duodecim = | = Duodecim = | ||
Period: 1\12 | |||
Optimal ([[POTE]]) generator: ~11/8 = 565.023 | |||
EDO generators: [[24edo|11\24]], [[36edo|17\36]] | |||
Scales (Scala files): | |||
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"> | |||
<div style="line-height:1.6;">Technical data</div> | |||
<div class="mw-collapsible-content"> | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 36/35, 50/49, 64/63 | Comma list: 36/35, 50/49, 64/63 | ||
| Line 548: | Line 759: | ||
Badness: 0.030536 | Badness: 0.030536 | ||
</div></div> | |||
= Vigintiduo = | = Vigintiduo = | ||
Period: 1\22 | |||
Optimal ([[POTE]]) generator: ~11/8 = 557.563 | |||
EDO generators: [[44edo|21\44]], [[66edo|31\66]] | |||
Scales (Scala files): | |||
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"> | |||
<div style="line-height:1.6;">Technical data</div> | |||
<div class="mw-collapsible-content"> | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 50/49, 64/63, 245/243 | Comma list: 50/49, 64/63, 245/243 | ||
| Line 559: | Line 787: | ||
Badness: 0.0484 | Badness: 0.0484 | ||
</div></div> | |||
= Vigin = | = Vigin = | ||
Period: 1\22 | |||
Optimal ([[POTE]]) generator: ~13/8 = 844.624 | |||
EDO generators: [[44edo|31\44]] | |||
Scales (Scala files): | |||
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"> | |||
<div style="line-height:1.6;">Technical data</div> | |||
<div class="mw-collapsible-content"> | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 50/49, 55/54, 64/63, 99/98 | Comma list: 50/49, 55/54, 64/63, 99/98 | ||
Mapping: [{{val| 22 35 51 62 76 0 }}, {{val| 0 0 0 0 0 1 }}] | Mapping: [{{val| 22 35 51 62 76 0 }}, {{val| 0 0 0 0 0 1 }}] | ||
| Line 570: | Line 813: | ||
Badness: 0.0298 | Badness: 0.0298 | ||
</div></div> | |||
[[Category:Theory]] | [[Category:Theory]] | ||
| Line 575: | Line 820: | ||
[[Category:Jubilismic]] | [[Category:Jubilismic]] | ||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||
Revision as of 17:32, 18 March 2021
The jubilismic clan tempers out the jubilisma, 50/49, which means 7/5 and 10/7 are identified and the octave is divided in two. Doublewide, lemba and diminished are discussed below; others in the clan are pajara, decimal, injera, octokaidecal, hedgehog, bipelog and hexe, which are discussed elsewhere.
No-threes POTE generator: ~5/4 = 380.840
No-threes mapping: [⟨2 0 1 1], ⟨0 0 1 1]]
Diminished
Period: 1\4
Optimal (POTE) generator: ~3/2 = 699.523
EDO generators: 5\8, 7\12, 9\16
Scales (Scala files): diminished12
Subgroup: 2.3.5.7
Comma list: 36/35, 50/49
Mapping: [⟨4 0 3 5], ⟨0 1 1 1]]
Mapping generators: ~6/5, ~3
Badness: 0.0224
11-limit
Period: 1\4
Optimal (POTE) generator: ~3/2 = 709.109
Scales (Scala files): diminished12
Subgroup: 2.3.5.7.11
Comma list: 36/35, 50/49, 56/55
Mapping: [⟨4 0 3 5 14], ⟨0 1 1 1 0]]
Mapping generators: ~6/5, ~3
Badness: 0.0221
13-limit
Period: 1\4
Optimal (POTE) generator: ~3/2 = 713.773
Scales (Scala files): diminished12
Subgroup: 2.3.5.7.11.13
Comma list: 36/35, 40/39, 50/49, 66/65
Mapping: [⟨4 0 3 5 14 15], ⟨0 1 1 1 0 0]]
Mapping generators: ~6/5, ~3
Badness: 0.0195
Demolished
Period: 1\4
Optimal (POTE) generator: ~3/2 = 689.881
EDO generators: 7\12, 9\16, 14\28
Scales (Scala files):
Subgroup: 2.3.5.7.11
Comma list: 36/35, 45/44, 50/49
Mapping: [⟨4 0 3 5 -5], ⟨0 1 1 1 3]]
Mapping generators: ~6/5, ~3
Badness: 0.0266
Hemidim
Period: 1\4
Optimal (POTE) generator: ~12/11 = 101.679
EDO generators: 7\12
Scales (Scala files):
Subgroup: 2.3.5.7.11
Comma list: 36/35, 50/49, 125/121
Mapping: [⟨4 1 4 6 6], ⟨0 2 2 2 3]]
Mapping generators: ~6/5, ~11/7
Badness: 0.0550
Doublewide
Period: 1\2
Optimal (POTE) generator: ~6/5 = 325.719
EDO generators: 6\22, 7\26, 13\48
Scales (Scala files):
Subgroup: 2.3.5.7
Comma list: 50/49, 875/864
Mapping: [⟨2 1 3 4], ⟨0 4 3 3]]
Badness: 0.0435
11-limit
Period: 1\2
Optimal (POTE) generator: ~6/5 = 325.548
EDO generators: 6\22, 7\26, 13\48
Scales (Scala files):
Subgroup: 2.3.5.7.11
Comma list: 50/49, 99/98, 875/864
Mapping: [⟨2 1 3 4 8], ⟨0 4 3 3 -2]]
Badness: 0.0321
Fleetwood
Period: 1\2
Optimal (POTE) generator: ~6/5 = 327.038
EDO generators: 6\22
Scales (Scala files):
Subgroup: 2.3.5.7.11
Comma list: 50/49, 55/54, 176/175
Mapping: [⟨2 1 3 4 2], ⟨0 4 3 3 9]]
Badness: 0.0352
13-limit
Period: 1\2
Optimal (POTE) generator: ~6/5 = 327.841
EDO generators: 6\22
Scales (Scala files):
Subgroup: 2.3.5.7.11.13
Comma list: 50/49, 55/54, 65/63, 176/175
Mapping: [⟨2 1 3 4 2 3], ⟨0 4 3 3 9 8]]
Badness: 0.0318
Cavalier
Period: 1\2
Optimal (POTE) generator: ~6/5 = 323.427
EDO generators: 7\26
Scales (Scala files):
Subgroup: 2.3.5.7.11
Comma list: 45/44, 50/49, 875/864
Mapping: [⟨2 1 3 4 1], ⟨0 4 3 3 11]]
Badness: 0.0529
13-limit
Period: 1\2
Optimal (POTE) generator: ~6/5 = 323.396
EDO generators: 7\26
Scales (Scala files):
Subgroup: 2.3.5.7.11.13
Comma list: 45/44, 50/49, 78/77, 325/324
Mapping: [⟨2 1 3 4 1 2], ⟨0 4 3 3 11 10]]
Badness: 0.0350
Lemba
Period: 1\2
Optimal (POTE) generator: ~8/7 = 232.089
EDO generator: 2\10, 3\16, 5\26
Scales (Scala files):
Subgroup: 2.3.5.7
Comma list: 50/49, 525/512
Mapping: [⟨2 2 5 6], ⟨0 3 -1 -1]]
Badness: 0.0622
11-limit
Period: 1\2
Optimal (POTE) generator: ~8/7 = 230.974
EDO generators: 2\10, 3\16, 5\26
Scales (Scala files):
Subgroup: 2.3.5.7.11
Comma list: 45/44, 50/49, 385/384
Mapping: [⟨2 2 5 6 5], ⟨0 3 -1 -1 5]]
Badness: 0.0416
13-limit
Period: 1\2
Optimal (POTE) generator: ~8/7 = 230.966
EDO generators: 2\10, 3\16, 5\26
Scales (Scala files):
Subgroup: 2.3.5.7.11.13
Comma list: 45/44, 50/49, 65/64, 78/77
Mapping: [⟨2 2 5 6 5 7], ⟨0 3 -1 -1 5 1]]
Badness: 0.0255
Crepuscular
Period: 1\2
Optimal (POTE) generator: ~27/25 = 140.349
Scales (Scala files):
Subgroup: 2.3.5.7
Comma list: 50/49, 4375/4374
Mapping: [⟨2 2 3 4], ⟨0 5 7 7]]
Wedgie: ⟨⟨ 10 14 14 -1 -6 -7 ]]
Badness: 0.0867
11-limit
Period: 1\2
Optimal (POTE) generator: ~12/11 = 140.587
Scales (Scala files):
Subgroup: 2.3.5.7.11
Comma list: 50/49, 99/98, 1944/1925
Mapping: [⟨2 2 3 4 6], ⟨0 5 7 7 4]]
Badness: 0.0408
13-limit
Period: 1\2
Optimal (POTE) generator: ~12/11 = 140.554
Scales (Scala files):
Subgroup: 2.3.5.7.11.13
Comma list: 50/49, 78/77, 99/98, 144/143
Mapping: [⟨2 2 3 4 6 6], ⟨0 5 7 7 4 6]]
Badness: 0.0244
Bipyth
Period: 1\2
Optimal (POTE) generator: ~3/2 = 709.437
EDO generators: 13\22
Scales (Scala files):
Subgroup: 2.3.5.7
Comma list: 50/49, 20480/19683
Mapping: [⟨2 0 -24 -23], ⟨0 1 9 9]]
Wedgie: ⟨⟨ 2 18 18 24 23 -9 ]]
Badness: 0.1650
11-limit
Period: 1\2
Optimal (POTE) generator: ~3/2 = 709.310
EDO generators: 13\22
Scales (Scala files):
Subgroup: 2.3.5.7.11
Comma list: 50/49, 121/120, 896/891
Mapping: [⟨2 0 -24 -23 -9], ⟨0 1 9 9 5]]
Badness: 0.0709
Elvis
5-limit
Period: 1\2
Optimal (POTE) generator: ~45/32 = 554.546
EDO generators: 12\26
Scales (Scala files):
Subgroup: 2.3.5
Comma list: 36905625/33554432
Mapping: [⟨2 1 10], ⟨0 2 -5]]
Badness: 0.8840
7-limit
Period: 1\2
Optimal (POTE) generator: ~45/32 = 553.721
EDO generators: 12\26
Scales (Scala files):
Subgroup: 2.3.5.7
Comma list: 50/49, 8505/8192
Mapping: [⟨2 1 10 11], ⟨0 2 -5 -5]]
Wedgie: ⟨⟨ 4 -10 -10 -25 -27 5 ]]
Badness: 0.1415
11-limit
Period: 1\2
Optimal (POTE) generator: ~11/8 = 553.882
EDO generators: 12\26
Scales (Scala files):
Subgroup: 2.3.5.7.11
Comma list: 45/44, 50/49, 1344/1331
Mapping: [⟨2 1 10 11 8], ⟨0 2 -5 -5 -1]]
Badness: 0.0632
13-limit
Period: 1\2
Optimal (POTE) generator: ~11/8 = 553.892
EDO generators: 12\26
Scales (Scala files):
Subgroup: 2.3.5.7.11.13
Comma list: 45/44, 50/49, 78/77, 1053/1024
Mapping: [⟨2 1 10 11 8 16], ⟨0 2 -5 -5 -1 -8]]
Badness: 0.0440
Comic
5-limit
Period: 1\2
Optimal (POTE) generator: ~81/80 = 55.382
EDO generators: 1\22
Scales (Scala files):
Subgroup: 2.3.5
Comma list: 5120000/4782969
Mapping: [⟨2 1 -3], ⟨0 2 7]]
Badness: 0.4912
7-limit
Period: 1\2
Optimal (POTE) generator: ~81/80 = 54.699
EDO generators: 1\22
Scales (Scala files):
Subgroup: 2.3.5.7
Comma list: 50/49, 2240/2187
Mapping: [⟨2 1 -3 -2], ⟨0 2 7 7]]
Wedgie: ⟨⟨ 4 14 14 13 11 -7 ]]
Badness: 0.0844
11-limit
Period: 1\2
Optimal (POTE) generator: ~81/80 = 55.184
EDO generators: 1\22
Scales (Scala files):
Subgroup: 2.3.5.7.11
Comma list: 50/49, 99/98, 2662/2625
Mapping: [⟨2 1 -3 -2 -4], ⟨0 2 7 7 10]]
Badness: 0.0451
13-limit
Period: 1\2
Optimal (POTE) generator: ~81/80 = 54.435
EDO generators: 1\22
Scales (Scala files):
Subgroup: 2.3.5.7.11
Comma list: 50/49, 65/63, 99/98, 968/945
Mapping: [⟨2 1 -3 -2 -4 3], ⟨0 2 7 7 10 4]]
Badness: 0.0415
Duodecim
Period: 1\12
Optimal (POTE) generator: ~11/8 = 565.023
Scales (Scala files):
Subgroup: 2.3.5.7.11
Comma list: 36/35, 50/49, 64/63
POTE generator: ~11/8 = 565.023
Mapping: [⟨12 19 28 34 0], ⟨0 0 0 0 1]]
Badness: 0.030536
Vigintiduo
Period: 1\22
Optimal (POTE) generator: ~11/8 = 557.563
Scales (Scala files):
Subgroup: 2.3.5.7.11
Comma list: 50/49, 64/63, 245/243
POTE generator: ~11/8 = 557.563
Mapping: [⟨22 35 51 62 0], ⟨0 0 0 0 1]]
Badness: 0.0484
Vigin
Period: 1\22
Optimal (POTE) generator: ~13/8 = 844.624
EDO generators: 31\44
Scales (Scala files):
Subgroup: 2.3.5.7.11.13
Comma list: 50/49, 55/54, 64/63, 99/98
Mapping: [⟨22 35 51 62 76 0], ⟨0 0 0 0 0 1]]
Badness: 0.0298