Marvel family: Difference between revisions
Wikispaces>genewardsmith **Imported revision 277408660 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 277416168 - 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>2011-11-20 14: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-11-20 14:42:26 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>277416168</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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EDOs: 10, 29, 31, 41, 60e, 72f, 91e, 101cd, 132def, 233cdef, 274cdef, 305cdef | EDOs: 10, 29, 31, 41, 60e, 72f, 91e, 101cd, 132def, 233cdef, 274cdef, 305cdef | ||
Badness: 0.000736 | Badness: 0.000736 | ||
==Prodigious== | |||
Commas: 225/224, 441/440, 364/363 | |||
Map: [<1 0 0 -5 -13 -23|, <0 1 0 2 6 11|, <0 0 1 2 3 4|] | |||
EDOs: 29, 41, 72, 113, 185cf, 341cf, 413bcf, 526bcdf | |||
Badness: 0.000900 | |||
==Prodigal== | |||
Commas: 225/224, 441/440, 351/350 | |||
Map: [<1 0 0 -5 -13 -4|, <0 1 0 2 6 -1|, <0 0 1 2 3 4|] | |||
EDOs: 31, 72, 103, 175f | |||
Badness: 0.000889 | |||
=Mirage= | |||
Commas: 225/224, 243/242, 385/384 | |||
Map: [<1 1 3 3 2 0|, <0 6 -7 -2 15 0|, <0 0 0 0 0 1|] | |||
EDOs: 10, 31, 41, 62, 72, 103, 175f, 216c, 288cdf, 391bcdef | |||
Badness: 0.000738 | |||
=Minerva= | =Minerva= | ||
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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:54:&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:54 --><!-- ws:start:WikiTextTocRule:55: --><a href="#Marvel">Marvel</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: --><!-- ws:end:WikiTextTocRule:58 --><!-- ws:start:WikiTextTocRule:59: --><!-- ws:end:WikiTextTocRule:59 --><!-- ws:start:WikiTextTocRule:60: --><!-- ws:end:WikiTextTocRule:60 --><!-- ws:start:WikiTextTocRule:61: --><!-- ws:end:WikiTextTocRule:61 --><!-- ws:start:WikiTextTocRule:62: --><!-- ws:end:WikiTextTocRule:62 --><!-- ws:start:WikiTextTocRule:63: --> | <a href="#Hecate">Hecate</a><!-- ws:end:WikiTextTocRule:63 --><!-- ws:start:WikiTextTocRule:64: --><!-- ws:end:WikiTextTocRule:64 --><!-- ws:start:WikiTextTocRule:65: --><!-- ws:end:WikiTextTocRule:65 --><!-- ws:start:WikiTextTocRule:66: --> | <a href="#Marvell">Marvell</a><!-- ws:end:WikiTextTocRule:66 --><!-- ws:start:WikiTextTocRule:67: --> | <a href="#Isis">Isis</a><!-- ws:end:WikiTextTocRule:67 --><!-- ws:start:WikiTextTocRule:68: --> | <a href="#Deecee">Deecee</a><!-- ws:end:WikiTextTocRule:68 --><!-- ws:start:WikiTextTocRule:69: --> | <a href="#Tripod">Tripod</a><!-- ws:end:WikiTextTocRule:69 --><!-- ws:start:WikiTextTocRule:70: --> | <a href="#Prodigy">Prodigy</a><!-- ws:end:WikiTextTocRule:70 --><!-- ws:start:WikiTextTocRule:71: --><!-- ws:end:WikiTextTocRule:71 --><!-- ws:start:WikiTextTocRule:72: --><!-- ws:end:WikiTextTocRule:72 --><!-- ws:start:WikiTextTocRule:73: --><!-- ws:end:WikiTextTocRule:73 --><!-- ws:start:WikiTextTocRule:74: --><!-- ws:end:WikiTextTocRule:74 --><!-- ws:start:WikiTextTocRule:75: --> | <a href="#Mirage">Mirage</a><!-- ws:end:WikiTextTocRule:75 --><!-- ws:start:WikiTextTocRule:76: --> | <a href="#Minerva">Minerva</a><!-- ws:end:WikiTextTocRule:76 --><!-- ws:start:WikiTextTocRule:77: --><!-- ws:end:WikiTextTocRule:77 --><!-- ws:start:WikiTextTocRule:78: --> | <a href="#Spectacle">Spectacle</a><!-- ws:end:WikiTextTocRule:78 --><!-- ws:start:WikiTextTocRule:79: --> | <a href="#Apollo">Apollo</a><!-- ws:end:WikiTextTocRule:79 --><!-- ws:start:WikiTextTocRule:80: --> | <a href="#Potassium">Potassium</a><!-- ws:end:WikiTextTocRule:80 --><!-- ws:start:WikiTextTocRule:81: --><!-- ws:end:WikiTextTocRule:81 --><!-- ws:start:WikiTextTocRule:82: --> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:82 --><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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Badness: 0.000736<br /> | Badness: 0.000736<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:36:&lt;h1&gt; --><h1 id=" | <!-- ws:start:WikiTextHeadingRule:36:&lt;h2&gt; --><h2 id="toc18"><a name="Prodigy-Prodigious"></a><!-- ws:end:WikiTextHeadingRule:36 -->Prodigious</h2> | ||
Commas: 225/224, 441/440, 364/363<br /> | |||
<br /> | |||
Map: [&lt;1 0 0 -5 -13 -23|, &lt;0 1 0 2 6 11|, &lt;0 0 1 2 3 4|]<br /> | |||
EDOs: 29, 41, 72, 113, 185cf, 341cf, 413bcf, 526bcdf<br /> | |||
Badness: 0.000900<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:38:&lt;h2&gt; --><h2 id="toc19"><a name="Prodigy-Prodigal"></a><!-- ws:end:WikiTextHeadingRule:38 -->Prodigal</h2> | |||
Commas: 225/224, 441/440, 351/350<br /> | |||
<br /> | |||
Map: [&lt;1 0 0 -5 -13 -4|, &lt;0 1 0 2 6 -1|, &lt;0 0 1 2 3 4|]<br /> | |||
EDOs: 31, 72, 103, 175f<br /> | |||
Badness: 0.000889<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:40:&lt;h1&gt; --><h1 id="toc20"><a name="Mirage"></a><!-- ws:end:WikiTextHeadingRule:40 -->Mirage</h1> | |||
Commas: 225/224, 243/242, 385/384<br /> | |||
<br /> | |||
Map: [&lt;1 1 3 3 2 0|, &lt;0 6 -7 -2 15 0|, &lt;0 0 0 0 0 1|]<br /> | |||
EDOs: 10, 31, 41, 62, 72, 103, 175f, 216c, 288cdf, 391bcdef <br /> | |||
Badness: 0.000738<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:42:&lt;h1&gt; --><h1 id="toc21"><a name="Minerva"></a><!-- ws:end:WikiTextHeadingRule:42 -->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:44:&lt;h2&gt; --><h2 id="toc22"><a name="Minerva-Athene"></a><!-- ws:end:WikiTextHeadingRule:44 -->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:46:&lt;h1&gt; --><h1 id="toc23"><a name="Spectacle"></a><!-- ws:end:WikiTextHeadingRule:46 -->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:48:&lt;h1&gt; --><h1 id="toc24"><a name="Apollo"></a><!-- ws:end:WikiTextHeadingRule:48 -->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:50:&lt;h1&gt; --><h1 id="toc25"><a name="Potassium"></a><!-- ws:end:WikiTextHeadingRule:50 -->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:52:&lt;h2&gt; --><h2 id="toc26"><a name="Potassium-13-limit"></a><!-- ws:end:WikiTextHeadingRule:52 -->13-limit</h2> | ||
Commas: 45/44, 56/55, 78/77<br /> | Commas: 45/44, 56/55, 78/77<br /> | ||
<br /> | <br /> | ||