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Databoxes for apollo to artemis
Databox for potassium to hestia
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= Potassium =
= Potassium =
Comma list: 45/44, 56/55
 
Period: 1\1
 
Optimal ([[POTE]]) generators: ~3/2 = 696.1714, ~5/4 = 385.0500
 
EDO generators: [[7edo|(4, 2)\7]], [[9edo|(5, 3)\9]], [[12edo|(7, 4)\12]]
 
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
Subgroup: 2.3.5.7.11
Comma list: 45/44, 56/55


Mapping: [{{val| 1 0 0 -5 -2 }}, {{val| 0 1 0 2 2 }}, {{val| 0 0 1 2 1 }}]
Mapping: [{{val| 1 0 0 -5 -2 }}, {{val| 0 1 0 2 2 }}, {{val| 0 0 1 2 1 }}]
Line 719: Line 732:
Minimax tuning: 11-odd-limit eigenmonzo subgroup: 2.9/7.11
Minimax tuning: 11-odd-limit eigenmonzo subgroup: 2.9/7.11


{{Val list|legend=1| 9, 10, 12, 19, 31e, 50e }}
{{Val list|legend=1| 7d, 9, 10, 12, 19, 31e, 50e }}


Badness: 0.464 × 10<sup>-3</sup>
Badness: 0.464 × 10<sup>-3</sup>


Projection pairs: 7 225/32 11 45/4
Projection pairs: 7 225/32 11 45/4
</div></div>


== 13-limit ==
== 13-limit ==
Comma list: 45/44, 56/55, 78/77
 
Period: 1\1
 
Optimal ([[POTE]]) generators: ~3/2 = 696.0103, ~5/4 = 384.6785
 
EDO generators: [[9edo|(5, 3)\9]], [[10edo|(6, 3)\10]], [[12edo|(7, 4)\12]]
 
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
Subgroup: 2.3.5.7.11.13
Comma list: 45/44, 56/55, 78/77


Mapping: [{{val| 1 0 0 -5 -2 -8 }}, {{val| 0 1 0 2 2 3 }}, {{val| 0 0 1 2 1 3 }}]
Mapping: [{{val| 1 0 0 -5 -2 -8 }}, {{val| 0 1 0 2 2 3 }}, {{val| 0 0 1 2 1 3 }}]
Line 736: Line 764:
* 15-odd-limit eigenmonzo subgroup: 2.9/7.13/9
* 15-odd-limit eigenmonzo subgroup: 2.9/7.13/9


{{Val list|legend=1| 9, 10, 19, 31e, 50e }}
{{Val list|legend=1| 9, 10, 12f, 19, 31e, 50e }}


Badness: 0.733 × 10<sup>-3</sup>
Badness: 0.733 × 10<sup>-3</sup>


Projection pairs: 7 225/32 11 45/4 13 3375/256
Projection pairs: 7 225/32 11 45/4 13 3375/256
</div></div>


= Fantastic =
= Fantastic =
Comma list: 225/224, 4375/4356
 
Period: 1\2
 
Optimal ([[POTE]]) generators: ~3/2 = 700.6242, ~5/4 = 383.2978
 
EDO generators: [[12edo|(7, 4)\12]], [[22edo|(13, 7)\22]], [[72edo|(42, 23)\72]]
 
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
Subgroup: 2.3.5.7.11
Comma list: 225/224, 4375/4356


Mapping: [{{val| 2 0 0 -10 -7 }}, {{val| 0 1 0 2 0 }}, {{val| 0 0 1 2 3 }}]
Mapping: [{{val| 2 0 0 -10 -7 }}, {{val| 0 1 0 2 0 }}, {{val| 0 0 1 2 3 }}]


{{Val list|legend=1| 12, 22, 50, 72, 166, 238c, 310c }}
Mapping generators: ~99/70, ~3, ~5
 
{{Val list|legend=1| 12, 22, 34d, 50, 60e, 72, 166, 238c, 310c }}


Badness: 0.743 × 10<sup>-3</sup>
Badness: 0.743 × 10<sup>-3</sup>
</div></div>


= Catakleismoid =
= Catakleismoid =
Comma list: 225/224, 4375/4374
 
Period: 1\1
 
Optimal ([[POTE]]) generators: ~6/5 = 316.7318, ~11/8 = 549.2528
 
EDO generators: [[19edo|(5, 8)\19]], [[53edo|(14, 24)\53]], [[72edo|(19, 33)\72]]
 
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
Subgroup: 2.3.5.7.11
Comma list: 225/224, 4375/4374


Mapping: [{{val| 1 0 1 -3 0 }}, {{val| 0 6 5 22 0 }}, {{val| 0 0 0 0 1 }}]
Mapping: [{{val| 1 0 1 -3 0 }}, {{val| 0 6 5 22 0 }}, {{val| 0 0 0 0 1 }}]


{{Val list|legend=1| 19, 53, 72, 197e, 269ce }}
{{Val list|legend=1| 19, 34d, 53, 72, 197e, 269ce }}


Badness: 1.275 × 10<sup>-3</sup>
Badness: 1.275 × 10<sup>-3</sup>
</div></div>


== 13-limit ==
== 13-limit ==
Comma list: 169/168, 225/224, 325/324
 
Period: 1\1
 
Optimal ([[POTE]]) generators: ~6/5 = 316.7410, ~11/8 = 548.6028
 
EDO generators: [[19edo|(5, 8)\19]], [[53edo|(14, 24)\53]], [[72edo|(19, 33)\72]]
 
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
Subgroup: 2.3.5.7.11.13
Comma list: 169/168, 225/224, 325/324


Mapping: [{{val| 1 0 1 -3 0 0 }}, {{val| 0 6 5 22 0 14 }}, {{val| 0 0 0 0 1 0 }}]
Mapping: [{{val| 1 0 1 -3 0 0 }}, {{val| 0 6 5 22 0 14 }}, {{val| 0 0 0 0 1 0 }}]


{{Val list|legend=1| 19, 53, 72, 125f, 197ef, 269cef }}
{{Val list|legend=1| 19, 34d, 53, 72, 125f, 197ef, 269cef }}


Badness: 0.916 × 10<sup>-3</sup>
Badness: 0.916 × 10<sup>-3</sup>
</div></div>


= Hestia =
= Hestia =
Comma list: 225/224, 125000/124509
 
Period: 1\1
 
Optimal ([[POTE]]) generators: ~231/200 = 249.8526, ~5/4 = 383.6467
 
EDO generators: [[29edo|(6, 9)\29]], [[53edo|(11, 17)\53]], [[72edo|(15, 23)\72]]
 
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
Subgroup: 2.3.5.7.11
Comma list: 225/224, 125000/124509


Mapping: [{{val| 1 0 0 -5 9 }}, {{val| 0 2 0 4 -7 }}, {{val| 0 0 1 2 0 }}]
Mapping: [{{val| 1 0 0 -5 9 }}, {{val| 0 2 0 4 -7 }}, {{val| 0 0 1 2 0 }}]
Mapping generators: ~2, ~400/231, ~5


{{Val list|legend=1| 19, 29, 43, 53, 72, 197e, 269ce, 341ce, 610bce }}
{{Val list|legend=1| 19, 29, 43, 53, 72, 197e, 269ce, 341ce, 610bce }}


Badness: 1.54 × 10<sup>-3</sup>
Badness: 1.54 × 10<sup>-3</sup>
</div></div>


== 13-limit ==
== 13-limit ==
Comma list: 169/168, 225/224, 1001/1000
 
Period: 1\1
 
Optimal ([[POTE]]) generators: ~15/13 = 249.7651, ~5/4 = 383.5558
 
EDO generators: [[19edo|(4, 6)\19]], [[29edo|(6, 9)\29]], [[53edo|(11, 17)\53]]
 
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
Subgroup: 2.3.5.7.11.13
Comma list: 169/168, 225/224, 1001/1000


Mapping: [{{val| 1 0 0 -5 9 -1 }}, {{val| 0 2 0 4 -7 3 }}, {{val| 0 0 1 2 0 1 }}]
Mapping: [{{val| 1 0 0 -5 9 -1 }}, {{val| 0 2 0 4 -7 3 }}, {{val| 0 0 1 2 0 1 }}]
Mapping generators: ~2, ~26/15, ~5


{{Val list|legend=1| 19, 29, 43, 53, 72, 125f, 197ef, 269cef }}
{{Val list|legend=1| 19, 29, 43, 53, 72, 125f, 197ef, 269cef }}


Badness: 1.062 × 10<sup>-3</sup>
Badness: 1.062 × 10<sup>-3</sup>
</div></div>


= Malcolm =
= Malcolm =
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