Marvel family: Difference between revisions

Databoxified 13-limit marvel extensions
Weak extension moved down; edo list reviewed
Line 173: Line 173:
* 15-odd-limit eigenmonzo subgroup: 2.15/11.15/13
* 15-odd-limit eigenmonzo subgroup: 2.15/11.15/13


{{Val list|legend=1| 19, 22, 31, 50, 53, 72, 103, 175f, 300cef, 403bcef }}
{{Val list|legend=1| 19, 22, 31, 50, 53, 72, 103, 175f, 300ceff, 403bceeff }}


Badness: 0.690 × 10<sup>-3</sup>
Badness: 0.690 × 10<sup>-3</sup>
Line 205: Line 205:
* 15-odd-limit eigenmonzo subgroup: 2.7.15/13
* 15-odd-limit eigenmonzo subgroup: 2.7.15/13


{{Val list|legend=1| 19, 22f, 31f, 41, 53, 72, 113, 125f, 166, 238cf, 404cef }}
{{Val list|legend=1| 19, 22f, 31f, 41, 53, 72, 125f, 166, 238cf, 404ccef }}


Badness: 0.721 × 10<sup>-3</sup>
Badness: 0.721 × 10<sup>-3</sup>
Line 235: Line 235:
Mapping: [{{val| 1 0 0 -5 12 2 18 }}, {{val| 0 1 0 2 -1 4 0 }}, {{val| 0 0 1 2 -3 -2 -6 }}]
Mapping: [{{val| 1 0 0 -5 12 2 18 }}, {{val| 0 1 0 2 -1 4 0 }}, {{val| 0 0 1 2 -3 -2 -6 }}]


{{Val list|legend=1| 19, 22f, 31fg, 41, 53g, 72, 113, 166g, 238cfg, 351cfg, 404cefg }}
{{Val list|legend=1| 19, 22f, 31fg, 41, 53g, 72, 166g, 238cfg, 404ccefgg }}


Badness: 0.869 × 10<sup>-3</sup>
Badness: 0.869 × 10<sup>-3</sup>
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Mapping: [{{val| 1 0 0 -5 12 2 18 }}, {{val| 0 1 0 2 -1 4 0 }}, {{val| 0 0 1 2 -3 -2 6 }}]
Mapping: [{{val| 1 0 0 -5 12 2 18 }}, {{val| 0 1 0 2 -1 4 0 }}, {{val| 0 0 1 2 -3 -2 6 }}]


{{Val list|legend=1| 19g, 22f, 31f, 41g, 53, 72, 125f, 166g, 238cfg, 363cefg, 404cefg }}
{{Val list|legend=1| 19g, 22f, 31f, 41g, 53, 72, 166g, 238cfg, 404ccefgg }}


Badness: 0.917 × 10<sup>-3</sup>
Badness: 0.917 × 10<sup>-3</sup>
</div></div>
== Marvelcat ==
Period: 1\1
Optimal ([[POTE]]) generators: ~15/13 = 249.7138, ~5/4 = 383.5816
EDO generators: [[9edo|(5, 3)\9]], [[19edo|(11, 6)\19]], [[53edo|(31, 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
Comma list: 169/168, 225/224, 385/384
Mapping: [{{val| 1 0 0 -5 12 -1 }}, {{val| 0 2 0 4 -2 3 }}, {{val| 0 0 1 2 -3 1 }}]
Mapping generators: ~2, ~26/15, ~5
{{Val list|legend=1| 9, 10, 19, 44, 53, 72, 125f, 197ef, 269cef }}
Badness: 0.9997 × 10<sup>-3</sup>


</div></div>
</div></div>
Line 319: Line 291:
* 15-odd-limit eigenmonzo subgroup: 2.7.15/13
* 15-odd-limit eigenmonzo subgroup: 2.7.15/13


{{Val list|legend=1| 9, 22f, 31, 63, 72, 103, 166, 238cf, 269ce, 507bcef, 610bcef }}
{{Val list|legend=1| 9, 22f, 31, 63, 72, 103, 166, 238cf, 269ce, 507bcceff, 610bcceeff }}


Badness: 0.862 × 10<sup>-3</sup>
Badness: 0.862 × 10<sup>-3</sup>
Line 377: Line 349:
* 15-odd-limit eigenmonzo subgroup: 2.3.13/5
* 15-odd-limit eigenmonzo subgroup: 2.3.13/5


{{Val list|legend=1| 9, 19f, 22, 31f, 41, 63, 72, 185cf, 257cf }}
{{Val list|legend=1| 9, 19f, 22, 31f, 41, 63, 72, 185cf, 257cff }}


Badness: 0.920 × 10<sup>-3</sup>
Badness: 0.920 × 10<sup>-3</sup>
Line 414: Line 386:


Projection pairs: 7 225/32 11 4096/375 13 3375/256
Projection pairs: 7 225/32 11 4096/375 13 3375/256
</div></div>
== Marvelcat ==
Period: 1\1
Optimal ([[POTE]]) generators: ~15/13 = 249.7138, ~5/4 = 383.5816
EDO generators: [[9edo|(5, 3)\9]], [[19edo|(11, 6)\19]], [[53edo|(31, 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
Comma list: 169/168, 225/224, 385/384
Mapping: [{{val| 1 0 0 -5 12 -1 }}, {{val| 0 2 0 4 -2 3 }}, {{val| 0 0 1 2 -3 1 }}]
Mapping generators: ~2, ~26/15, ~5
{{Val list|legend=1| 9, 10, 19, 44, 53, 72, 125f, 197ef, 269ceff }}
Badness: 0.9997 × 10<sup>-3</sup>


</div></div>
</div></div>