Marvel family: Difference between revisions

m Minerva: correction
Databoxes for apollo to artemis
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= Apollo =
= Apollo =
[[Comma list]]: 100/99, 225/224
 
Period: 1\1
 
Optimal ([[POTE]]) generators: ~3/2 = 703.4846, ~5/4 = 381.6033
 
EDO generators: [[12edo|(7, 4)\12]], [[19edo|(11, 6)\19]], [[22edo|(13, 7)\22]]
 
Scales (Scala files):
 
Associated temperament: [[Magic family #magic|magic]]
 
<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


Associated temperament: [[Magic family #magic|magic]]
[[Comma list]]: 100/99, 225/224


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


Minimax tuning: 11-odd-limit eigenmonzo subgroup: 2.7/5.11/9
Minimax tuning: 11-odd-limit eigenmonzo subgroup: 2.7/5.11/9


{{Val list|legend=1| 12, 19, 22, 41, 104, 157ce, 198ce, 220ce, 261ce }}
{{Val list|legend=1| 12, 19, 22, 34d, 41, 104, 157ce, 198ce, 220ce, 261ce }}


Projection pairs: 7 225/32 11 100/9
[[Projection pair]]s: 7 225/32 11 100/9
 
</div></div>


== 13-limit ==
== 13-limit ==
[[Comma list]]: 100/99, 225/224, 245/243
 
Period: 1\1
 
Optimal ([[POTE]]) generators: ~3/2 = 703.9984, ~5/4 = 381.5352
 
EDO generators: [[12edo|(7, 4)\12]], [[22edo|(13, 7)\22]], [[29edo|(17, 9)\29]]
 
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: 100/99, 225/224, 275/273


Mapping: [{{val| 1 0 0 -5 2 7 }}, {{val| 0 1 0 2 -2 -5 }}, {{val| 0 0 1 2 2 2 }}]
Mapping: [{{val| 1 0 0 -5 2 7 }}, {{val| 0 1 0 2 -2 -5 }}, {{val| 0 0 1 2 2 2 }}]
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Minimax tuning: 13-odd-limit eigenmonzo subgroup: 2.11/9.13/9
Minimax tuning: 13-odd-limit eigenmonzo subgroup: 2.11/9.13/9


{{Val list|legend=1| 22, 29, 41, 63, 104, 179cef, 242cde, 283def, 346bcdef }}
{{Val list|legend=1| 12f, 19f, 22, 29, 34d, 41, 63, 104, 179cef, 242cde, 283def, 346bcdef }}


Projection pairs: 7 225/32 11 100/9 13 3200/243
Projection pairs: 7 225/32 11 100/9 13 3200/243
</div></div>


= Artemis =
= Artemis =
Period: 1\1
Optimal ([[POTE]]) generators: ~3/2 = 699.8719, ~11/10 = 158.3232
EDO generators: [[7edo|(4, 2)\7]], [[22edo|(13, 7)\22]], [[31edo|(18, 10)\31]]
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: 121/120, 225/224
Comma list: 121/120, 225/224


Subgroup: 2.3.5.7.11
Mapping: [{{val| 1 0 1 -3 2 }}, {{val| 0 1 1 4 1 }}, {{val| 0 0 -2 -4 -1 }}]
 
Mapping generators: ~2, ~3, ~11/10


Mapping: [{{val| 1 0 1 -3 2 }}, {{val| 0 1 1 4 1 }}, {{val| 0 0 2 4 1 }}]
{{Val list|legend=1| 9, 15d, 16d, 20, 22, 31, 53, 82e, 84e, 113e, 144ee }}


{{Val list|legend=1| 9, 20, 22, 31, 53 }}
</div></div>


== 13-limit ==
== 13-limit ==
Comma list: 105/104, 121/120, 196/195
 
Period: 1\1
 
Optimal ([[POTE]]) generators: ~3/2 = 698.7090, ~11/10 = 158.7117
 
EDO generators: [[9edo|(5, 3)\9]], [[29edo|(17, 9)\29]], [[31edo|(18, 10)\31]]
 
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: 105/104, 121/120, 196/195


Mapping: [{{val| 1 0 1 -3 2 -5 }}, {{val| 0 1 1 4 1 6 }}, {{val| 0 0 2 4 1 6 }}]
Mapping: [{{val| 1 0 1 -3 2 -5 }}, {{val| 0 1 1 4 1 6 }}, {{val| 0 0 2 4 1 6 }}]


{{Val list|legend=1| 9, 20, 29, 31 }}
{{Val list|legend=1| 9, 20, 22f, 29, 31 }}
 
</div></div>


== Diana ==
== Diana ==
Comma list: 121/120, 225/224, 275/273
 
Period: 1\1
 
Optimal ([[POTE]]) generators: ~3/2 = 700.9789, ~11/10 = 159.0048
 
EDO generators: [[22edo|(13, 7)\22]], [[29edo|(17, 9)\29]], [[31edo|(18, 10)\31]]
 
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: 121/120, 225/224, 275/273


Mapping: [{{val| 1 0 1 -3 2 7 }}, {{val| 0 1 1 4 1 -2 }}, {{val| 0 0 2 4 1 1 }}]
Mapping: [{{val| 1 0 1 -3 2 7 }}, {{val| 0 1 1 4 1 -2 }}, {{val| 0 0 2 4 1 1 }}]


{{Val list|legend=1| 22, 29, 31, 53 }}
{{Val list|legend=1| 22, 29, 31, 53, 82e, 84e, 113e, 166ee }}
 
</div></div>


= Potassium =
= Potassium =