Marvel family: Difference between revisions
Wikispaces>genewardsmith **Imported revision 187943723 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 190495718 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt> | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-01-02 14:04:18 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>190495718</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt></tt><br> | ||
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
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Generators: 2, 3, 5 | Generators: 2, 3, 5 | ||
[[edo|EDOs]]: 9, 10, 11, 12, 19, 22, 29, 31, 41, 50, 53, 72, 84, 94, 125, [[197edo|197]], 228 | [[edo|EDOs]]: 9, 10, 11, 12, 19, 22, 29, 31, 41, 50, 53, 72, 84, 94, 125, [[197edo|197]], 228 | ||
Badness: 0.0000365 | |||
Scales: [[marvel9]], [[marvel10]], [[marvel11]], [[marvel12]], [[marvel19]], [[marvel22]], [[pump12_1]], [[pump12_2]], [[pump13]], [[pump14]], [[pump15]], [[pump16]], [[pump17]], [[pump18]] | Scales: [[marvel9]], [[marvel10]], [[marvel11]], [[marvel12]], [[marvel19]], [[marvel22]], [[pump12_1]], [[pump12_2]], [[pump13]], [[pump14]], [[pump15]], [[pump16]], [[pump17]], [[pump18]] | ||
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The second comma of the [[Normal lists|normal comma list]] defines which 11-limit family member we are looking at. Adding 4125/4096 gives unidecimal marvel, 91125/90112 gives prodigy, 5632/5625 minerva and 243/242 spectacle. | The second comma of the [[Normal lists|normal comma list]] defines which 11-limit family member we are looking at. Adding 4125/4096 gives unidecimal marvel, 91125/90112 gives prodigy, 5632/5625 minerva and 243/242 spectacle. | ||
==Unidecimal marvel== | |||
[[Comma|Commas]]: 225/224, 385/384 | [[Comma|Commas]]: 225/224, 385/384 | ||
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[[Generator|Generators]]: 2, 3, 5 | [[Generator|Generators]]: 2, 3, 5 | ||
[[edo|Edos]]: [[19edo|19]], [[22edo|22]], [[31edo|31]], [[41edo|41]], [[50edo|50]], [[53edo|53]], [[72edo|72]], [[166edo|166]], [[197edo|197]] | [[edo|Edos]]: [[19edo|19]], [[22edo|22]], [[31edo|31]], [[41edo|41]], [[50edo|50]], [[53edo|53]], [[72edo|72]], [[166edo|166]], [[197edo|197]] | ||
Badness: 0.000255 | |||
Scales: [[marvel22_11]], [[unimarv22]] | Scales: [[marvel22_11]], [[unimarv22]] | ||
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41: 3125/3072, 34171875/33554432 | 41: 3125/3072, 34171875/33554432 | ||
===Marvell=== | |||
Commas: 225/224, 385/384, 1573/1568 | Commas: 225/224, 385/384, 1573/1568 | ||
Map: [<1 0 0 -5 12 -29|, <0 1 0 2 -1 6|, <0 0 1 2 -3 10|] | Map: [<1 0 0 -5 12 -29|, <0 1 0 2 -1 6|, <0 0 1 2 -3 10|] | ||
EDOs: 9, 31, 63, 72, 103, 166 | EDOs: 9, 31, 63, 72, 103, 166 | ||
Badness: 0.000862 | |||
===Deecee=== | |||
Commas: 225/224, 385/384, 364/363 | Commas: 225/224, 385/384, 364/363 | ||
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Map: [<1 0 0 -5 12 27|, <0 1 0 2 -1 -3|, <0 0 1 2 -3 -8|] | Map: [<1 0 0 -5 12 27|, <0 1 0 2 -1 -3|, <0 0 1 2 -3 -8|] | ||
EDOs: 9, 22, 41, 63, 72 | EDOs: 9, 22, 41, 63, 72 | ||
Badness: 0.000920 | |||
==Prodigy== | |||
[[Comma|Commas]]: 225/224, 441/440 | [[Comma|Commas]]: 225/224, 441/440 | ||
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[[Generator|Generators]]: 2, 3, 5 | [[Generator|Generators]]: 2, 3, 5 | ||
[[edo|EDOs]]: [[10edo|10]], [[12edo|12]], [[29edo|29]], [[31edo|31]], [[41edo|41]], [[72edo|72]] | [[edo|EDOs]]: [[10edo|10]], [[12edo|12]], [[29edo|29]], [[31edo|31]], [[41edo|41]], [[72edo|72]] | ||
Badness: 0.000344 | |||
Scales: [[prodigy29]] | Scales: [[prodigy29]] | ||
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41: 34171875/33554432, 32805/32768 | 41: 34171875/33554432, 32805/32768 | ||
==Minerva== | |||
[[Comma|Commas]]: 99/98, 225/224 | [[Comma|Commas]]: 99/98, 225/224 | ||
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[[Generator|Generators]]: 2, 3, 5 | [[Generator|Generators]]: 2, 3, 5 | ||
[[edo|EDOs]]: [[9edo|9]], [[12edo|12]], [[21edo|21]], [[22edo|22]], [[31edo|31]], [[43edo|43]], [[53edo|53]], [[74edo|74]], [[75edo|75]], [[96edo|96]], [[127edo|127]] | [[edo|EDOs]]: [[9edo|9]], [[12edo|12]], [[21edo|21]], [[22edo|22]], [[31edo|31]], [[43edo|43]], [[53edo|53]], [[74edo|74]], [[75edo|75]], [[96edo|96]], [[127edo|127]] | ||
Badness: 0.000381 | |||
Scales: [[minerva22x]] | Scales: [[minerva22x]] | ||
==Spectacle== | |||
[[Comma|Commas]]: 225/224, 243/242 | [[Comma|Commas]]: 225/224, 243/242 | ||
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[[Generator|Generators]]: 2, 11/9, 5 | [[Generator|Generators]]: 2, 11/9, 5 | ||
[[edo|EDOs]]: [[10edo|10]], [[31edo|31]], [[41edo|41]], [[72edo|72]], [[240edo|240]], [[250edo|250]], [[281edo|281]] | [[edo|EDOs]]: [[10edo|10]], [[31edo|31]], [[41edo|41]], [[72edo|72]], [[240edo|240]], [[250edo|250]], [[281edo|281]] | ||
Badness: 0.000499 | |||
Scales: [[spectacle31]]</pre></div> | Scales: [[spectacle31]]</pre></div> | ||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
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Generators: 2, 3, 5<br /> | Generators: 2, 3, 5<br /> | ||
<a class="wiki_link" href="/edo">EDOs</a>: 9, 10, 11, 12, 19, 22, 29, 31, 41, 50, 53, 72, 84, 94, 125, <a class="wiki_link" href="/197edo">197</a>, 228<br /> | <a class="wiki_link" href="/edo">EDOs</a>: 9, 10, 11, 12, 19, 22, 29, 31, 41, 50, 53, 72, 84, 94, 125, <a class="wiki_link" href="/197edo">197</a>, 228<br /> | ||
Badness: 0.0000365<br /> | |||
<br /> | <br /> | ||
Scales: <a class="wiki_link" href="/marvel9">marvel9</a>, <a class="wiki_link" href="/marvel10">marvel10</a>, <a class="wiki_link" href="/marvel11">marvel11</a>, <a class="wiki_link" href="/marvel12">marvel12</a>, <a class="wiki_link" href="/marvel19">marvel19</a>, <a class="wiki_link" href="/marvel22">marvel22</a>, <a class="wiki_link" href="/pump12_1">pump12_1</a>, <a class="wiki_link" href="/pump12_2">pump12_2</a>, <a class="wiki_link" href="/pump13">pump13</a>, <a class="wiki_link" href="/pump14">pump14</a>, <a class="wiki_link" href="/pump15">pump15</a>, <a class="wiki_link" href="/pump16">pump16</a>, <a class="wiki_link" href="/pump17">pump17</a>, <a class="wiki_link" href="/pump18">pump18</a><br /> | Scales: <a class="wiki_link" href="/marvel9">marvel9</a>, <a class="wiki_link" href="/marvel10">marvel10</a>, <a class="wiki_link" href="/marvel11">marvel11</a>, <a class="wiki_link" href="/marvel12">marvel12</a>, <a class="wiki_link" href="/marvel19">marvel19</a>, <a class="wiki_link" href="/marvel22">marvel22</a>, <a class="wiki_link" href="/pump12_1">pump12_1</a>, <a class="wiki_link" href="/pump12_2">pump12_2</a>, <a class="wiki_link" href="/pump13">pump13</a>, <a class="wiki_link" href="/pump14">pump14</a>, <a class="wiki_link" href="/pump15">pump15</a>, <a class="wiki_link" href="/pump16">pump16</a>, <a class="wiki_link" href="/pump17">pump17</a>, <a class="wiki_link" href="/pump18">pump18</a><br /> | ||
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The second comma of the <a class="wiki_link" href="/Normal%20lists">normal comma list</a> defines which 11-limit family member we are looking at. Adding 4125/4096 gives unidecimal marvel, 91125/90112 gives prodigy, 5632/5625 minerva and 243/242 spectacle.<br /> | The second comma of the <a class="wiki_link" href="/Normal%20lists">normal comma list</a> defines which 11-limit family member we are looking at. Adding 4125/4096 gives unidecimal marvel, 91125/90112 gives prodigy, 5632/5625 minerva and 243/242 spectacle.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:8:&lt; | <!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="x-Unidecimal marvel"></a><!-- ws:end:WikiTextHeadingRule:8 -->Unidecimal marvel</h2> | ||
<a class="wiki_link" href="/Comma">Commas</a>: 225/224, 385/384<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 225/224, 385/384<br /> | ||
<br /> | <br /> | ||
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<a class="wiki_link" href="/Generator">Generators</a>: 2, 3, 5<br /> | <a class="wiki_link" href="/Generator">Generators</a>: 2, 3, 5<br /> | ||
<a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/19edo">19</a>, <a class="wiki_link" href="/22edo">22</a>, <a class="wiki_link" href="/31edo">31</a>, <a class="wiki_link" href="/41edo">41</a>, <a class="wiki_link" href="/50edo">50</a>, <a class="wiki_link" href="/53edo">53</a>, <a class="wiki_link" href="/72edo">72</a>, <a class="wiki_link" href="/166edo">166</a>, <a class="wiki_link" href="/197edo">197</a><br /> | <a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/19edo">19</a>, <a class="wiki_link" href="/22edo">22</a>, <a class="wiki_link" href="/31edo">31</a>, <a class="wiki_link" href="/41edo">41</a>, <a class="wiki_link" href="/50edo">50</a>, <a class="wiki_link" href="/53edo">53</a>, <a class="wiki_link" href="/72edo">72</a>, <a class="wiki_link" href="/166edo">166</a>, <a class="wiki_link" href="/197edo">197</a><br /> | ||
Badness: 0.000255<br /> | |||
<br /> | |||
Scales: <a class="wiki_link" href="/marvel22_11">marvel22_11</a>, <a class="wiki_link" href="/unimarv22">unimarv22</a><br /> | Scales: <a class="wiki_link" href="/marvel22_11">marvel22_11</a>, <a class="wiki_link" href="/unimarv22">unimarv22</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h3&gt; --><h3 id="toc5"><a name="x- | <!-- ws:start:WikiTextHeadingRule:10:&lt;h3&gt; --><h3 id="toc5"><a name="x-Unidecimal marvel-Hobbit bases"></a><!-- ws:end:WikiTextHeadingRule:10 -->Hobbit bases</h3> | ||
{2, 3, 5} subgroup<br /> | {2, 3, 5} subgroup<br /> | ||
<br /> | <br /> | ||
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41: 3125/3072, 34171875/33554432<br /> | 41: 3125/3072, 34171875/33554432<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:12:&lt; | <!-- ws:start:WikiTextHeadingRule:12:&lt;h3&gt; --><h3 id="toc6"><a name="x-Unidecimal marvel-Marvell"></a><!-- ws:end:WikiTextHeadingRule:12 -->Marvell</h3> | ||
Commas: 225/224, 385/384, 1573/1568<br /> | Commas: 225/224, 385/384, 1573/1568<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 0 -5 12 -29|, &lt;0 1 0 2 -1 6|, &lt;0 0 1 2 -3 10|]<br /> | Map: [&lt;1 0 0 -5 12 -29|, &lt;0 1 0 2 -1 6|, &lt;0 0 1 2 -3 10|]<br /> | ||
EDOs: 9, 31, 63, 72, 103, 166<br /> | EDOs: 9, 31, 63, 72, 103, 166<br /> | ||
Badness: 0.000862<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:14:&lt; | <!-- ws:start:WikiTextHeadingRule:14:&lt;h3&gt; --><h3 id="toc7"><a name="x-Unidecimal marvel-Deecee"></a><!-- ws:end:WikiTextHeadingRule:14 -->Deecee</h3> | ||
<br /> | <br /> | ||
Commas: 225/224, 385/384, 364/363<br /> | Commas: 225/224, 385/384, 364/363<br /> | ||
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Map: [&lt;1 0 0 -5 12 27|, &lt;0 1 0 2 -1 -3|, &lt;0 0 1 2 -3 -8|]<br /> | Map: [&lt;1 0 0 -5 12 27|, &lt;0 1 0 2 -1 -3|, &lt;0 0 1 2 -3 -8|]<br /> | ||
EDOs: 9, 22, 41, 63, 72<br /> | EDOs: 9, 22, 41, 63, 72<br /> | ||
Badness: 0.000920<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:16:&lt; | <!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="x-Prodigy"></a><!-- ws:end:WikiTextHeadingRule:16 -->Prodigy</h2> | ||
<a class="wiki_link" href="/Comma">Commas</a>: 225/224, 441/440<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 225/224, 441/440<br /> | ||
<br /> | <br /> | ||
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<a class="wiki_link" href="/Generator">Generators</a>: 2, 3, 5<br /> | <a class="wiki_link" href="/Generator">Generators</a>: 2, 3, 5<br /> | ||
<a class="wiki_link" href="/edo">EDOs</a>: <a class="wiki_link" href="/10edo">10</a>, <a class="wiki_link" href="/12edo">12</a>, <a class="wiki_link" href="/29edo">29</a>, <a class="wiki_link" href="/31edo">31</a>, <a class="wiki_link" href="/41edo">41</a>, <a class="wiki_link" href="/72edo">72</a><br /> | <a class="wiki_link" href="/edo">EDOs</a>: <a class="wiki_link" href="/10edo">10</a>, <a class="wiki_link" href="/12edo">12</a>, <a class="wiki_link" href="/29edo">29</a>, <a class="wiki_link" href="/31edo">31</a>, <a class="wiki_link" href="/41edo">41</a>, <a class="wiki_link" href="/72edo">72</a><br /> | ||
Badness: 0.000344<br /> | |||
<br /> | |||
Scales: <a class="wiki_link" href="/prodigy29">prodigy29</a><br /> | Scales: <a class="wiki_link" href="/prodigy29">prodigy29</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:18:&lt;h3&gt; --><h3 id="toc9"><a name="x- | <!-- ws:start:WikiTextHeadingRule:18:&lt;h3&gt; --><h3 id="toc9"><a name="x-Prodigy-Hobbit bases"></a><!-- ws:end:WikiTextHeadingRule:18 -->Hobbit bases</h3> | ||
{2, 3, 5} subgroup<br /> | {2, 3, 5} subgroup<br /> | ||
<br /> | <br /> | ||
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41: 34171875/33554432, 32805/32768<br /> | 41: 34171875/33554432, 32805/32768<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:20:&lt; | <!-- ws:start:WikiTextHeadingRule:20:&lt;h2&gt; --><h2 id="toc10"><a name="x-Minerva"></a><!-- ws:end:WikiTextHeadingRule:20 -->Minerva</h2> | ||
<a class="wiki_link" href="/Comma">Commas</a>: 99/98, 225/224<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 99/98, 225/224<br /> | ||
<br /> | <br /> | ||
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<a class="wiki_link" href="/Generator">Generators</a>: 2, 3, 5<br /> | <a class="wiki_link" href="/Generator">Generators</a>: 2, 3, 5<br /> | ||
<a class="wiki_link" href="/edo">EDOs</a>: <a class="wiki_link" href="/9edo">9</a>, <a class="wiki_link" href="/12edo">12</a>, <a class="wiki_link" href="/21edo">21</a>, <a class="wiki_link" href="/22edo">22</a>, <a class="wiki_link" href="/31edo">31</a>, <a class="wiki_link" href="/43edo">43</a>, <a class="wiki_link" href="/53edo">53</a>, <a class="wiki_link" href="/74edo">74</a>, <a class="wiki_link" href="/75edo">75</a>, <a class="wiki_link" href="/96edo">96</a>, <a class="wiki_link" href="/127edo">127</a><br /> | <a class="wiki_link" href="/edo">EDOs</a>: <a class="wiki_link" href="/9edo">9</a>, <a class="wiki_link" href="/12edo">12</a>, <a class="wiki_link" href="/21edo">21</a>, <a class="wiki_link" href="/22edo">22</a>, <a class="wiki_link" href="/31edo">31</a>, <a class="wiki_link" href="/43edo">43</a>, <a class="wiki_link" href="/53edo">53</a>, <a class="wiki_link" href="/74edo">74</a>, <a class="wiki_link" href="/75edo">75</a>, <a class="wiki_link" href="/96edo">96</a>, <a class="wiki_link" href="/127edo">127</a><br /> | ||
Badness: 0.000381<br /> | |||
<br /> | |||
Scales: <a class="wiki_link" href="/minerva22x">minerva22x</a><br /> | Scales: <a class="wiki_link" href="/minerva22x">minerva22x</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:22:&lt; | <!-- ws:start:WikiTextHeadingRule:22:&lt;h2&gt; --><h2 id="toc11"><a name="x-Spectacle"></a><!-- ws:end:WikiTextHeadingRule:22 -->Spectacle</h2> | ||
<a class="wiki_link" href="/Comma">Commas</a>: 225/224, 243/242<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 225/224, 243/242<br /> | ||
<br /> | <br /> | ||
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<a class="wiki_link" href="/Generator">Generators</a>: 2, 11/9, 5<br /> | <a class="wiki_link" href="/Generator">Generators</a>: 2, 11/9, 5<br /> | ||
<a class="wiki_link" href="/edo">EDOs</a>: <a class="wiki_link" href="/10edo">10</a>, <a class="wiki_link" href="/31edo">31</a>, <a class="wiki_link" href="/41edo">41</a>, <a class="wiki_link" href="/72edo">72</a>, <a class="wiki_link" href="/240edo">240</a>, <a class="wiki_link" href="/250edo">250</a>, <a class="wiki_link" href="/281edo">281</a><br /> | <a class="wiki_link" href="/edo">EDOs</a>: <a class="wiki_link" href="/10edo">10</a>, <a class="wiki_link" href="/31edo">31</a>, <a class="wiki_link" href="/41edo">41</a>, <a class="wiki_link" href="/72edo">72</a>, <a class="wiki_link" href="/240edo">240</a>, <a class="wiki_link" href="/250edo">250</a>, <a class="wiki_link" href="/281edo">281</a><br /> | ||
Badness: 0.000499<br /> | |||
<br /> | |||
Scales: <a class="wiki_link" href="/spectacle31">spectacle31</a></body></html></pre></div> | Scales: <a class="wiki_link" href="/spectacle31">spectacle31</a></body></html></pre></div> | ||