Superpyth: Difference between revisions

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{{main| Archytas clan #Superpyth }}
{{main| Archytas clan #Superpyth }}


=== Superpyth ===
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;">
Commas: 64/63, 245/243
<div style="line-height:1.6;">Technical data</div>
<div class="mw-collapsible-content">


POTE generator: ~3/2 = 710.291
Subgroup: 2.3.5.7


Map: [&lt;1 0 -12 6|, &lt;0 1 9 -2|]
Comma list: 64/63, 245/243


Wedgie: &lt;&lt;1 9 -2 12 -6 -30||
Mapping: [{{val| 1 0 -12 6 }}, {{val| 0 1 9 -2 }}]


EDOs: 5, 17, 22, 27, 49
Wedgie: {{wedgie| 1 9 -2 12 -6 -30 }}
 
{{Val list|legend=1| 5, 17, 22, 27, 49 }}


Badness: 0.0323
Badness: 0.0323


==== 11-limit ====
</div></div>
Commas: 64/63, 100/99, 245/243


POTE generator: ~3/2 = 710.175
; 11-limit superpyth


Map: [&lt;1 0 -12 6 -22|, &lt;0 1 9 -2 16|]
<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">


EDOs: 22, 27e, 49
Subgroup: 2.3.5.7.11
 
Comma list: 64/63, 100/99, 245/243
 
Mapping: [{{val| 1 0 -12 6 -22 }}, {{val| 0 1 9 -2 16 }}]
 
{{Val list|legend=1| 22, 27e, 49 }}


Badness: 0.0250
Badness: 0.0250


==== 13-limit ====
</div></div>
Commas: 64/63, 78/77, 91/90, 100/99
 
; 13-limit superpyth
 
<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">


POTE generator: ~3/2 = 710.479
Subgroup: 2.3.5.7.11.13


Map: [&lt;1 0 -12 6 -22 -17|, &lt;0 1 9 -2 16 13|]
Comma list: 64/63, 78/77, 91/90, 100/99


EDOs: 22, 27e, 49, 76bcde
Mapping: [{{val| 1 0 -12 6 -22 -17 }}, {{val| 0 1 9 -2 16 13 }}]
 
{{Val list|legend=1| 22, 27e, 49, 76bcde }}


Badness: 0.0247
Badness: 0.0247


=== Suprapyth ===
</div></div>
Commas: 55/54, 64/63, 99/98


POTE generator: ~3/2 = 709.495
; 11-limit suprapyth


Map: [&lt;1 0 -12 6 13|, &lt;0 1 9 -2 -6|]
<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">


EDOs: 5, 17, 22
Subgroup: 2.3.5.7.11
 
Comma list: 55/54, 64/63, 99/98
 
Mapping: [{{val| 1 0 -12 6 13 }}, {{val| 0 1 9 -2 -6 }}]
 
{{Val list|legend=1| 17, 22 }}


Badness: 0.0328
Badness: 0.0328
</div></div>
; 13-limit suprapyth
<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: 55/54, 64/63, 65/63, 99/98
Mapping: [{{val| 1 0 -12 6 13 18 }}, {{val| 0 1 9 -2 -6 -9 }}]
{{Val list|legend=1| 17, 22, 83cdf }}
Badness: 0.0363
</div></div>


== Interval chains ==
== Interval chains ==