Marvel family: Difference between revisions
Wikispaces>xenwolf **Imported revision 238255019 - Original comment: edo links added** |
Wikispaces>genewardsmith **Imported revision 239773861 - 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: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-07-02 17:47:52 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>239773861</tt>.<br> | ||
: The revision comment was: <tt> | : 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> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext content:</h4> | ||
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EDOs: 9, 31, [[63edo|63]], 72, [[103edo|103]], [[166edo|166]] | EDOs: 9, 31, [[63edo|63]], 72, [[103edo|103]], [[166edo|166]] | ||
Badness: 0.000862 | Badness: 0.000862 | ||
==Marveloid== | |||
Commas: 225/224, 385/384, 275/273 | |||
Map: [<1 0 0 -5 12 17|, <0 1 0 2 -1 4|, <0 0 1 2 -3 -3|] | |||
EDOs: 10, 22, 31, 41, 53, 94 | |||
Badness: 0.000866 | |||
==Deecee== | ==Deecee== | ||
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Badness: 0.000733</pre></div> | Badness: 0.000733</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:40:&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:40 --><!-- ws:start:WikiTextTocRule:41: --><a href="#Marvel">Marvel</a><!-- ws:end:WikiTextTocRule:41 --><!-- ws:start:WikiTextTocRule:42: --><!-- ws:end:WikiTextTocRule:42 --><!-- ws:start:WikiTextTocRule:43: --><!-- ws:end:WikiTextTocRule:43 --><!-- ws:start:WikiTextTocRule:44: --><!-- ws:end:WikiTextTocRule:44 --><!-- ws:start:WikiTextTocRule:45: --><!-- ws:end:WikiTextTocRule:45 --><!-- ws:start:WikiTextTocRule:46: --> | <a href="#Unidecimal marvel (Unimarv)">Unidecimal marvel (Unimarv)</a><!-- ws:end:WikiTextTocRule:46 --><!-- ws:start:WikiTextTocRule:47: --><!-- 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: --> | <a href="#Prodigy">Prodigy</a><!-- ws:end:WikiTextTocRule:53 --><!-- ws:start:WikiTextTocRule:54: --><!-- ws:end:WikiTextTocRule:54 --><!-- ws:start:WikiTextTocRule:55: --> | <a href="#Minerva">Minerva</a><!-- ws:end:WikiTextTocRule:55 --><!-- ws:start:WikiTextTocRule:56: --><!-- ws:end:WikiTextTocRule:56 --><!-- ws:start:WikiTextTocRule:57: --> | <a href="#Spectacle">Spectacle</a><!-- ws:end:WikiTextTocRule:57 --><!-- ws:start:WikiTextTocRule:58: --> | <a href="#Apollo">Apollo</a><!-- ws:end:WikiTextTocRule:58 --><!-- ws:start:WikiTextTocRule:59: --> | <a href="#Potassium">Potassium</a><!-- ws:end:WikiTextTocRule:59 --><!-- ws:start:WikiTextTocRule:60: --><!-- ws:end:WikiTextTocRule:60 --><!-- ws:start:WikiTextTocRule:61: --> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:61 --><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: 0.000862<br /> | Badness: 0.000862<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="Unidecimal marvel (Unimarv)-Deecee"></a><!-- ws:end:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="Unidecimal marvel (Unimarv)-Marveloid"></a><!-- ws:end:WikiTextHeadingRule:18 -->Marveloid</h2> | ||
Commas: 225/224, 385/384, 275/273<br /> | |||
<br /> | |||
Map: [&lt;1 0 0 -5 12 17|, &lt;0 1 0 2 -1 4|, &lt;0 0 1 2 -3 -3|]<br /> | |||
EDOs: 10, 22, 31, 41, 53, 94<br /> | |||
Badness: 0.000866<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:20:&lt;h2&gt; --><h2 id="toc10"><a name="Unidecimal marvel (Unimarv)-Deecee"></a><!-- ws:end:WikiTextHeadingRule:20 -->Deecee</h2> | |||
Commas: 225/224, 385/384, 364/363<br /> | Commas: 225/224, 385/384, 364/363<br /> | ||
<br /> | <br /> | ||
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Badness: 0.000920<br /> | Badness: 0.000920<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:22:&lt;h2&gt; --><h2 id="toc11"><a name="Unidecimal marvel (Unimarv)-Tripod"></a><!-- ws:end:WikiTextHeadingRule:22 -->Tripod</h2> | ||
Commas: 105/104, 144/143, 196/195<br /> | Commas: 105/104, 144/143, 196/195<br /> | ||
<br /> | <br /> | ||
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Badness: 0.000745<br /> | Badness: 0.000745<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:24:&lt;h1&gt; --><h1 id="toc12"><a name="Prodigy"></a><!-- ws:end:WikiTextHeadingRule:24 -->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:26:&lt;h2&gt; --><h2 id="toc13"><a name="Prodigy-Hobbit bases"></a><!-- ws:end:WikiTextHeadingRule:26 -->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:28:&lt;h1&gt; --><h1 id="toc14"><a name="Minerva"></a><!-- ws:end:WikiTextHeadingRule:28 -->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:30:&lt;h2&gt; --><h2 id="toc15"><a name="Minerva-Athene"></a><!-- ws:end:WikiTextHeadingRule:30 -->Athene</h2> | ||
Commas: 99/98, 176/175, 275/273<br /> | Commas: 99/98, 176/175, 275/273<br /> | ||
<br /> | <br /> | ||
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Badness: 0.000818<br /> | Badness: 0.000818<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:32:&lt;h1&gt; --><h1 id="toc16"><a name="Spectacle"></a><!-- ws:end:WikiTextHeadingRule:32 -->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:34:&lt;h1&gt; --><h1 id="toc17"><a name="Apollo"></a><!-- ws:end:WikiTextHeadingRule:34 -->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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Badness: 0.000530<br /> | Badness: 0.000530<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:36:&lt;h1&gt; --><h1 id="toc18"><a name="Potassium"></a><!-- ws:end:WikiTextHeadingRule:36 -->Potassium</h1> | ||
Commas: 45/44, 56/55<br /> | Commas: 45/44, 56/55<br /> | ||
<br /> | <br /> | ||
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Badness: 0.000464<br /> | Badness: 0.000464<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:38:&lt;h2&gt; --><h2 id="toc19"><a name="Potassium-13-limit"></a><!-- ws:end:WikiTextHeadingRule:38 -->13-limit</h2> | ||
Commas: 45/44, 56/55, 78/77<br /> | Commas: 45/44, 56/55, 78/77<br /> | ||
<br /> | <br /> | ||