Marvel family: Difference between revisions
Wikispaces>genewardsmith **Imported revision 274512084 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 277079326 - 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>2011-11- | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-11-18 16:14:52 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>277079326</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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Map: [<1 0 0 -5|, <0 1 0 2|, <0 0 1 2|] | Map: [<1 0 0 -5|, <0 1 0 2|, <0 0 1 2|] | ||
Generators: 2, 3, 5 | Generators: 2, 3, 5 | ||
[[edo|EDOs]]: | [[edo|EDOs]]: [[10edo|10]], [[12edo|12]], [[19edo|19]], [[22edo|22]], [[31edo|31]], [[41edo|41]],[[72edo|72]], [[197edo|197]], [[269edo|269c]] | ||
Badness: 0.0000365 | Badness: 0.0000365 | ||
| Line 75: | Line 75: | ||
Map: [<1 0 0 -5 12|, <0 1 0 2 -1|, <0 0 1 2 -3|] | Map: [<1 0 0 -5 12|, <0 1 0 2 -1|, <0 0 1 2 -3|] | ||
[[Generator|Generators]]: 2, 3, 5 | [[Generator|Generators]]: 2, 3, 5 | ||
[[edo|Edos]]: [[19edo|19]], [[22edo|22]], [[31edo|31]], [[41edo|41 | [[edo|Edos]]: [[10edo|10]], [[12edo|12e]], [[19edo|19]], [[22edo|22]], [[31edo|31]], [[41edo|41]], [[53edo|53]], [[72edo|72]], [[166edo|166]], [[197edo|197e]], [[269edo|269ce]], [[341edo|341ce]] | ||
Badness: 0.000255 | Badness: 0.000255 | ||
| Line 99: | Line 99: | ||
Map: [<1 0 0 -5 12 -4|, <0 1 0 2 -1 -1|, <0 0 1 2 -3 4|] | Map: [<1 0 0 -5 12 -4|, <0 1 0 2 -1 -1|, <0 0 1 2 -3 4|] | ||
EDOs: 19, 22, 31, 50, 53, 72, 103, [[175edo|175f]] | EDOs: 19, 22, 31, 50, 53, 72, 103, [[175edo|175f]], [[300edo|300cef]], [[403bcef]] | ||
Badness: 0.000690 | Badness: 0.000690 | ||
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Map: [<1 0 0 -5 12 2|, <0 1 0 2 -1 4|, <0 0 1 2 -3 -2|] | Map: [<1 0 0 -5 12 2|, <0 1 0 2 -1 4|, <0 0 1 2 -3 -2|] | ||
EDOs: 19, 41, 53, 72, 166, 238cf, 404cef | EDOs: 19, 41, 53, 72, 113, 125f, 166, 238cf, 404cef | ||
Badness: 0.000721 | Badness: 0.000721 | ||
Projection pairs: 7 225/32 11 4096/375 13 324/25 | Projection pairs: 7 225/32 11 4096/375 13 324/25 | ||
[[Spectrum of a temperament|Spectrum]]: 4/3, 5/4, 16/15, 15/14, 6/5, 9/8, 7/5, 9/7, 7/6, 10/9, 8/7, 18/13, 11/8, 12/11, 13/12, 11/9, 11/10, 15/13, 15/11, 16/13, 13/11, 14/13, 13/10, 14/11 | [[Spectrum of a temperament|Spectrum]]: 4/3, 5/4, 16/15, 15/14, 6/5, 9/8, 7/5, 9/7, 7/6, 10/9, 8/7, 18/13, 11/8, 12/11, 13/12, 11/9, 11/10, 15/13, 15/11, 16/13, 13/11, 14/13, 13/10, 14/11 | ||
==17-limit== | |||
Commas: 225/224, 385/384, 325/324, 595/594 | |||
Map: [<1 0 0 -5 12 2 18|, <0 1 0 2 -1 4 0|, <0 0 1 2 -3 -2 -6|] | |||
EDOs: 19, 41, 53g, 72, 113, 166g, 238cfg, 351cfg, 404cefg | |||
Badness: 0.000869 | |||
==Enodia== | |||
Commas: 225/224, 385/384, 325/324, 375/374 | |||
Map: [<1 0 0 -5 12 2 18|, <0 1 0 2 -1 4 0|, <0 0 1 2 -3 -2 6|] | |||
EDOs: 41g, 53, 72, 125f, 166g, 238cfg, 363cefg, 404cefg | |||
Badness: .000917 | |||
=Marvell= | =Marvell= | ||
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Projection pairs: 7 225/32 11 45/4 13 3375/256</pre></div> | Projection pairs: 7 225/32 11 45/4 13 3375/256</pre></div> | ||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Marvel family</title></head><body><!-- ws:start:WikiTextTocRule: | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Marvel family</title></head><body><!-- ws:start:WikiTextTocRule:46:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:46 --><!-- ws:start:WikiTextTocRule:47: --><a href="#Marvel">Marvel</a><!-- ws:end:WikiTextTocRule:47 --><!-- ws:start:WikiTextTocRule:48: --><!-- ws:end:WikiTextTocRule:48 --><!-- ws:start:WikiTextTocRule:49: --><!-- ws:end:WikiTextTocRule:49 --><!-- ws:start:WikiTextTocRule:50: --><!-- ws:end:WikiTextTocRule:50 --><!-- ws:start:WikiTextTocRule:51: --><!-- ws:end:WikiTextTocRule:51 --><!-- ws:start:WikiTextTocRule:52: --><!-- ws:end:WikiTextTocRule:52 --><!-- ws:start:WikiTextTocRule:53: --><!-- ws:end:WikiTextTocRule:53 --><!-- ws:start:WikiTextTocRule:54: --><!-- ws:end:WikiTextTocRule:54 --><!-- ws:start:WikiTextTocRule:55: --> | <a href="#Hecate">Hecate</a><!-- ws:end:WikiTextTocRule:55 --><!-- ws:start:WikiTextTocRule:56: --><!-- ws:end:WikiTextTocRule:56 --><!-- ws:start:WikiTextTocRule:57: --><!-- ws:end:WikiTextTocRule:57 --><!-- ws:start:WikiTextTocRule:58: --> | <a href="#Marvell">Marvell</a><!-- ws:end:WikiTextTocRule:58 --><!-- ws:start:WikiTextTocRule:59: --> | <a href="#Isis">Isis</a><!-- ws:end:WikiTextTocRule:59 --><!-- ws:start:WikiTextTocRule:60: --> | <a href="#Deecee">Deecee</a><!-- ws:end:WikiTextTocRule:60 --><!-- ws:start:WikiTextTocRule:61: --> | <a href="#Tripod">Tripod</a><!-- ws:end:WikiTextTocRule:61 --><!-- ws:start:WikiTextTocRule:62: --> | <a href="#Prodigy">Prodigy</a><!-- ws:end:WikiTextTocRule:62 --><!-- ws:start:WikiTextTocRule:63: --><!-- ws:end:WikiTextTocRule:63 --><!-- ws:start:WikiTextTocRule:64: --> | <a href="#Minerva">Minerva</a><!-- ws:end:WikiTextTocRule:64 --><!-- ws:start:WikiTextTocRule:65: --><!-- ws:end:WikiTextTocRule:65 --><!-- ws:start:WikiTextTocRule:66: --> | <a href="#Spectacle">Spectacle</a><!-- ws:end:WikiTextTocRule:66 --><!-- ws:start:WikiTextTocRule:67: --> | <a href="#Apollo">Apollo</a><!-- ws:end:WikiTextTocRule:67 --><!-- ws:start:WikiTextTocRule:68: --> | <a href="#Potassium">Potassium</a><!-- ws:end:WikiTextTocRule:68 --><!-- ws:start:WikiTextTocRule:69: --><!-- ws:end:WikiTextTocRule:69 --><!-- ws:start:WikiTextTocRule:70: --> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:70 --><br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Marvel"></a><!-- ws:end:WikiTextHeadingRule:0 -->Marvel</h1> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Marvel"></a><!-- ws:end:WikiTextHeadingRule:0 -->Marvel</h1> | ||
The head of the marvel family is marvel, which tempers out <a class="wiki_link" href="/225_224">225/224</a>, the <a class="wiki_link" href="/septimal%20kleisma">septimal kleisma</a> or <a class="wiki_link" href="/marvel%20comma">marvel comma</a>. Marvel has a <a class="wiki_link" href="/Normal%20lists">normal list basis</a> of [2, 3, 5]; hence a <a class="wiki_link" href="/Harmonic%20Limit">5-limit</a> scale can be converted to marvel simply by tempering it. One way to do that, and an excellent marvel tuning, is given by <a class="wiki_link" href="/197edo">197edo</a>. <br /> | The head of the marvel family is marvel, which tempers out <a class="wiki_link" href="/225_224">225/224</a>, the <a class="wiki_link" href="/septimal%20kleisma">septimal kleisma</a> or <a class="wiki_link" href="/marvel%20comma">marvel comma</a>. Marvel has a <a class="wiki_link" href="/Normal%20lists">normal list basis</a> of [2, 3, 5]; hence a <a class="wiki_link" href="/Harmonic%20Limit">5-limit</a> scale can be converted to marvel simply by tempering it. One way to do that, and an excellent marvel tuning, is given by <a class="wiki_link" href="/197edo">197edo</a>. <br /> | ||
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Map: [&lt;1 0 0 -5|, &lt;0 1 0 2|, &lt;0 0 1 2|]<br /> | Map: [&lt;1 0 0 -5|, &lt;0 1 0 2|, &lt;0 0 1 2|]<br /> | ||
Generators: 2, 3, 5<br /> | Generators: 2, 3, 5<br /> | ||
<a class="wiki_link" href="/edo">EDOs</a>: | <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="/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="/72edo">72</a>, <a class="wiki_link" href="/197edo">197</a>, <a class="wiki_link" href="/269edo">269c</a><br /> | ||
Badness: 0.0000365<br /> | Badness: 0.0000365<br /> | ||
<br /> | <br /> | ||
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Map: [&lt;1 0 0 -5 12|, &lt;0 1 0 2 -1|, &lt;0 0 1 2 -3|]<br /> | Map: [&lt;1 0 0 -5 12|, &lt;0 1 0 2 -1|, &lt;0 0 1 2 -3|]<br /> | ||
<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="/ | <a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/10edo">10</a>, <a class="wiki_link" href="/12edo">12e</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="/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">197e</a>, <a class="wiki_link" href="/269edo">269ce</a>, <a class="wiki_link" href="/341edo">341ce</a><br /> | ||
Badness: 0.000255<br /> | Badness: 0.000255<br /> | ||
<br /> | <br /> | ||
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<br /> | <br /> | ||
Map: [&lt;1 0 0 -5 12 -4|, &lt;0 1 0 2 -1 -1|, &lt;0 0 1 2 -3 4|]<br /> | Map: [&lt;1 0 0 -5 12 -4|, &lt;0 1 0 2 -1 -1|, &lt;0 0 1 2 -3 4|]<br /> | ||
EDOs: 19, 22, 31, 50, 53, 72, 103, <a class="wiki_link" href="/175edo">175f</a><br /> | EDOs: 19, 22, 31, 50, 53, 72, 103, <a class="wiki_link" href="/175edo">175f</a>, <a class="wiki_link" href="/300edo">300cef</a>, <a class="wiki_link" href="/403bcef">403bcef</a><br /> | ||
Badness: 0.000690<br /> | Badness: 0.000690<br /> | ||
<br /> | <br /> | ||
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<br /> | <br /> | ||
Map: [&lt;1 0 0 -5 12 2|, &lt;0 1 0 2 -1 4|, &lt;0 0 1 2 -3 -2|]<br /> | Map: [&lt;1 0 0 -5 12 2|, &lt;0 1 0 2 -1 4|, &lt;0 0 1 2 -3 -2|]<br /> | ||
EDOs: 19, 41, 53, 72, 166, 238cf, 404cef<br /> | EDOs: 19, 41, 53, 72, 113, 125f, 166, 238cf, 404cef<br /> | ||
Badness: 0.000721<br /> | Badness: 0.000721<br /> | ||
<br /> | <br /> | ||
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<a class="wiki_link" href="/Spectrum%20of%20a%20temperament">Spectrum</a>: 4/3, 5/4, 16/15, 15/14, 6/5, 9/8, 7/5, 9/7, 7/6, 10/9, 8/7, 18/13, 11/8, 12/11, 13/12, 11/9, 11/10, 15/13, 15/11, 16/13, 13/11, 14/13, 13/10, 14/11<br /> | <a class="wiki_link" href="/Spectrum%20of%20a%20temperament">Spectrum</a>: 4/3, 5/4, 16/15, 15/14, 6/5, 9/8, 7/5, 9/7, 7/6, 10/9, 8/7, 18/13, 11/8, 12/11, 13/12, 11/9, 11/10, 15/13, 15/11, 16/13, 13/11, 14/13, 13/10, 14/11<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:18:&lt;h1&gt; --><h1 id=" | <!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="Hecate-17-limit"></a><!-- ws:end:WikiTextHeadingRule:18 -->17-limit</h2> | ||
Commas: 225/224, 385/384, 325/324, 595/594<br /> | |||
<br /> | |||
Map: [&lt;1 0 0 -5 12 2 18|, &lt;0 1 0 2 -1 4 0|, &lt;0 0 1 2 -3 -2 -6|]<br /> | |||
EDOs: 19, 41, 53g, 72, 113, 166g, 238cfg, 351cfg, 404cefg<br /> | |||
Badness: 0.000869<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:20:&lt;h2&gt; --><h2 id="toc10"><a name="Hecate-Enodia"></a><!-- ws:end:WikiTextHeadingRule:20 -->Enodia</h2> | |||
Commas: 225/224, 385/384, 325/324, 375/374<br /> | |||
<br /> | |||
Map: [&lt;1 0 0 -5 12 2 18|, &lt;0 1 0 2 -1 4 0|, &lt;0 0 1 2 -3 -2 6|]<br /> | |||
EDOs: 41g, 53, 72, 125f, 166g, 238cfg, 363cefg, 404cefg<br /> | |||
Badness: .000917<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:22:&lt;h1&gt; --><h1 id="toc11"><a name="Marvell"></a><!-- ws:end:WikiTextHeadingRule:22 -->Marvell</h1> | |||
Commas: 225/224, 385/384, 1573/1568<br /> | Commas: 225/224, 385/384, 1573/1568<br /> | ||
<br /> | <br /> | ||
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Badness: 0.000862<br /> | Badness: 0.000862<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:24:&lt;h1&gt; --><h1 id="toc12"><a name="Isis"></a><!-- ws:end:WikiTextHeadingRule:24 -->Isis</h1> | ||
Commas: 225/224, 385/384, 275/273<br /> | Commas: 225/224, 385/384, 275/273<br /> | ||
<br /> | <br /> | ||
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Projection pairs: 7 225/32 11 4096/375 13 131072/10125<br /> | Projection pairs: 7 225/32 11 4096/375 13 131072/10125<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:26:&lt;h1&gt; --><h1 id="toc13"><a name="Deecee"></a><!-- ws:end:WikiTextHeadingRule:26 -->Deecee</h1> | ||
Commas: 225/224, 385/384, 364/363<br /> | Commas: 225/224, 385/384, 364/363<br /> | ||
<br /> | <br /> | ||
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Projection pairs: 7 225/32 11 4096/375 13 134217728/10546875<br /> | Projection pairs: 7 225/32 11 4096/375 13 134217728/10546875<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:28:&lt;h1&gt; --><h1 id="toc14"><a name="Tripod"></a><!-- ws:end:WikiTextHeadingRule:28 -->Tripod</h1> | ||
Commas: 105/104, 144/143, 196/195<br /> | Commas: 105/104, 144/143, 196/195<br /> | ||
<br /> | <br /> | ||
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Projection pairs: 7 225/32 11 4096/375 13 3375/256<br /> | Projection pairs: 7 225/32 11 4096/375 13 3375/256<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:30:&lt;h1&gt; --><h1 id="toc15"><a name="Prodigy"></a><!-- ws:end:WikiTextHeadingRule:30 -->Prodigy</h1> | ||
Prodigy shrinks 1024/1029, 243/242, 384/385 and 2400/2401 down to the same tiny interval. Hence in practice it probably makes the most sense to temper this out as well, leading to <a class="wiki_link" href="/Gamelismic%20clan">miracle temperament</a>. This, however, does not render it pointless to consider prodigy; for one thing, scales in prodigy such as hobbit scales translate into interesting scales for miracle.<br /> | Prodigy shrinks 1024/1029, 243/242, 384/385 and 2400/2401 down to the same tiny interval. Hence in practice it probably makes the most sense to temper this out as well, leading to <a class="wiki_link" href="/Gamelismic%20clan">miracle temperament</a>. This, however, does not render it pointless to consider prodigy; for one thing, scales in prodigy such as hobbit scales translate into interesting scales for miracle.<br /> | ||
<br /> | <br /> | ||
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Scales: <a class="wiki_link" href="/prodigy11">prodigy11</a>, <a class="wiki_link" href="/prodigy12">prodigy12</a>, <a class="wiki_link" href="/prodigy29">prodigy29</a><br /> | Scales: <a class="wiki_link" href="/prodigy11">prodigy11</a>, <a class="wiki_link" href="/prodigy12">prodigy12</a>, <a class="wiki_link" href="/prodigy29">prodigy29</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:32:&lt;h2&gt; --><h2 id="toc16"><a name="Prodigy-Hobbit bases"></a><!-- ws:end:WikiTextHeadingRule:32 -->Hobbit bases</h2> | ||
{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: | <!-- ws:start:WikiTextHeadingRule:34:&lt;h1&gt; --><h1 id="toc17"><a name="Minerva"></a><!-- ws:end:WikiTextHeadingRule:34 -->Minerva</h1> | ||
<a class="wiki_link" href="/Comma">Commas</a>: 99/98, 176/175<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 99/98, 176/175<br /> | ||
Related linear temperament: <a class="wiki_link" href="/Semicomma%20family">orwell</a><br /> | Related linear temperament: <a class="wiki_link" href="/Semicomma%20family">orwell</a><br /> | ||
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Scales: <a class="wiki_link" href="/minerva12">minerva12</a>, <a class="wiki_link" href="/minerva22x">minerva22x</a><br /> | Scales: <a class="wiki_link" href="/minerva12">minerva12</a>, <a class="wiki_link" href="/minerva22x">minerva22x</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:36:&lt;h2&gt; --><h2 id="toc18"><a name="Minerva-Athene"></a><!-- ws:end:WikiTextHeadingRule:36 -->Athene</h2> | ||
Commas: 99/98, 176/175, 275/273<br /> | Commas: 99/98, 176/175, 275/273<br /> | ||
<br /> | <br /> | ||
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<a class="wiki_link" href="/Projection%20pair">Projection pair</a>s: 7 225/32 11 5625/512 13 625/48<br /> | <a class="wiki_link" href="/Projection%20pair">Projection pair</a>s: 7 225/32 11 5625/512 13 625/48<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:38:&lt;h1&gt; --><h1 id="toc19"><a name="Spectacle"></a><!-- ws:end:WikiTextHeadingRule:38 -->Spectacle</h1> | ||
<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 /> | ||
Related linear temperament: <a class="wiki_link" href="/Marvel%20temperaments">marvo</a><br /> | Related linear temperament: <a class="wiki_link" href="/Marvel%20temperaments">marvo</a><br /> | ||
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Scales: <a class="wiki_link" href="/spectacle31">spectacle31</a><br /> | Scales: <a class="wiki_link" href="/spectacle31">spectacle31</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:40:&lt;h1&gt; --><h1 id="toc20"><a name="Apollo"></a><!-- ws:end:WikiTextHeadingRule:40 -->Apollo</h1> | ||
<a class="wiki_link" href="/Comma">Commas</a>: 100/99, 225/224<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 100/99, 225/224<br /> | ||
Related linear temperament: <a class="wiki_link" href="/Magic%20family">Magic</a><br /> | Related linear temperament: <a class="wiki_link" href="/Magic%20family">Magic</a><br /> | ||
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Projection pairs: 7 225/32 11 100/9<br /> | Projection pairs: 7 225/32 11 100/9<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:42:&lt;h1&gt; --><h1 id="toc21"><a name="Potassium"></a><!-- ws:end:WikiTextHeadingRule:42 -->Potassium</h1> | ||
Commas: 45/44, 56/55<br /> | Commas: 45/44, 56/55<br /> | ||
<br /> | <br /> | ||
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Projection pairs: 7 225/32 11 45/4<br /> | Projection pairs: 7 225/32 11 45/4<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:44:&lt;h2&gt; --><h2 id="toc22"><a name="Potassium-13-limit"></a><!-- ws:end:WikiTextHeadingRule:44 -->13-limit</h2> | ||
Commas: 45/44, 56/55, 78/77<br /> | Commas: 45/44, 56/55, 78/77<br /> | ||
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