Keemic family: Difference between revisions
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= Supermagic = | = Supermagic = | ||
Period: 1\1 | |||
Optimal ([[POTE]]) generators: ~3/2 = 701.8733, ~5/4 = 380.4684 | |||
EDO generators: [[15edo|(9, 5)\15]], [[19edo|(11, 6)\19]], [[22edo|(13, 7)\22]] | |||
Scales: [[supermagic15]] | |||
<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]]: 875/864 | [[Comma list]]: 875/864 | ||
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[[Minimax tuning]]: | [[Minimax tuning]]: | ||
* 7- and 9-odd-limit | * 7- and [[9-odd-limit]] | ||
: [{{monzo| 1 0 0 0 }}, {{monzo| 0 1 0 0 }}, {{monzo| 5/4 3/4 1/4 -1/4 }}, {{monzo| 5/4 3/4 -3/4 3/4 }}] | : [{{monzo| 1 0 0 0 }}, {{monzo| 0 1 0 0 }}, {{monzo| 5/4 3/4 1/4 -1/4 }}, {{monzo| 5/4 3/4 -3/4 3/4 }}] | ||
: Eigenmonzos: 2, 4/3, 7/5 | : Eigenmonzos: 2, 4/3, 7/5 | ||
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[[Projection pair]]: 7 864/125 | [[Projection pair]]: 7 864/125 | ||
</div></div> | |||
== 11-limit == | |||
Period: 1\1 | |||
Optimal ([[POTE]]) generators: ~3/2 = 704.1985, ~5/4 = 381.5394 | |||
EDO generators: [[15edo|(9, 5)\15]], [[19edo|(11, 6)\19]], [[22edo|(13, 7)\22]] | |||
Scales: [[supermagic15]] | Scales: [[supermagic15]] | ||
== | <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: 100/99, 385/384 | Comma list: 100/99, 385/384 | ||
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Badness: 0.641 × 10<sup>-3</sup> | Badness: 0.641 × 10<sup>-3</sup> | ||
</div></div> | |||
= Supernatural = | = Supernatural = | ||
Period: 1\1 | |||
Optimal ([[POTE]]) generators: ~5/4 = 380.3520, ~11/8 = 547.5758 | |||
EDO generators: [[19edo|(6, 8)\19]], [[22edo|(7, 11)\22]], [[41edo|(13, 20)\41]] | |||
Scales: | |||
<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: 225/224, 245/243 | Comma list: 225/224, 245/243 | ||
Mapping: [{{val| 1 0 2 -1 0 }}, {{val| 0 5 1 12 0 }}, {{val| 0 0 0 0 1 }}] | Mapping: [{{val| 1 0 2 -1 0 }}, {{val| 0 5 1 12 0 }}, {{val| 0 0 0 0 1 }}] | ||
{{Val list|legend=1| 19, 22, 41, 82e, 101cd | {{Val list|legend=1| 19, 22, 41, 82e, 101cd, 224ccde, 265ccde * }} | ||
<nowiki>*</nowiki> [[optimal patent val]]: [[104edo|104]] | |||
Badness: 0.888 × 10<sup>-3</sup> | Badness: 0.888 × 10<sup>-3</sup> | ||
</div></div> | |||
[[Category:Theory]] | [[Category:Theory]] | ||