Marvel temperaments: Difference between revisions

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Wikispaces>genewardsmith
**Imported revision 303218534 - Original comment: **
Wikispaces>genewardsmith
**Imported revision 309659520 - Original comment: **
Line 1: Line 1:
<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>2012-02-19 20:21:10 UTC</tt>.<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-03-10 13:28:51 UTC</tt>.<br>
: The original revision id was <tt>303218534</tt>.<br>
: The original revision id was <tt>309659520</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: 9, 19, 85
EDOs: 9, 19, 85
Badness: 0.0202
Badness: 0.0202
=Negroni=
Commas: 49/48, 55/54, 225/224
POTE generator: ~15/14 = 124.539
Map: [&lt;1 2 2 3 5|, &lt;0 -4 3 -2 -15|]
EDOs: 10, 19e, 29, 77cde
Badness:


=Wizard=  
=Wizard=  
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Map: [&lt;9 0 28 11 24 19|, &lt;0 2 -1 2 1 2|]
Map: [&lt;9 0 28 11 24 19|, &lt;0 2 -1 2 1 2|]
EDOs: 9, 54, 63, 72, 279cf
EDOs: 9, 54, 63, 72, 279cf
Badness: 0.0223
Badness: 0.0223</pre></div>
</pre></div>
<h4>Original HTML content:</h4>
<h4>Original HTML content:</h4>
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&lt;!-- ws:end:WikiTextTocRule:124 --&gt;&lt;!-- ws:start:WikiTextTocRule:125: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Amavil-11-limit"&gt;11-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:123 --&gt;&lt;!-- ws:start:WikiTextTocRule:124: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Enneaportent"&gt;Enneaportent&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:125 --&gt;&lt;!-- ws:start:WikiTextTocRule:126: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Amavil-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:124 --&gt;&lt;!-- ws:start:WikiTextTocRule:125: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Enneaportent-11-limit"&gt;11-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:126 --&gt;&lt;!-- ws:start:WikiTextTocRule:127: --&gt;&lt;div style="margin-left: 1em;"&gt;&lt;a href="#Enneaportent"&gt;Enneaportent&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:125 --&gt;&lt;!-- ws:start:WikiTextTocRule:126: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Enneaportent-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:127 --&gt;&lt;!-- ws:start:WikiTextTocRule:128: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Enneaportent-11-limit"&gt;11-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:126 --&gt;&lt;!-- ws:start:WikiTextTocRule:127: --&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:128 --&gt;&lt;!-- ws:start:WikiTextTocRule:129: --&gt;&lt;div style="margin-left: 2em;"&gt;&lt;a href="#Enneaportent-13-limit"&gt;13-limit&lt;/a&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:127 --&gt;&lt;br /&gt;
&lt;!-- ws:end:WikiTextTocRule:129 --&gt;&lt;!-- ws:start:WikiTextTocRule:130: --&gt;&lt;/div&gt;
&lt;!-- ws:end:WikiTextTocRule:130 --&gt;&lt;br /&gt;
This page discusses some of the temperaments tempering out |-5 2 2 -1&amp;gt; =&lt;a class="wiki_link" href="/225_224"&gt; 225/224&lt;/a&gt;, the &lt;a class="wiki_link" href="/marvel%20comma"&gt;marvel comma&lt;/a&gt; or &lt;a class="wiki_link" href="/septimal%20kleisma"&gt;septimal kleisma&lt;/a&gt;. These include negri, wizard, tritonic, septimin, slender, triton and marvo. Considered elsewhere are meantone, miracle, magic, pajara, orwell, catakleismic, garibaldi, august, compton, sharp, escapade and mavila.&lt;br /&gt;
This page discusses some of the temperaments tempering out |-5 2 2 -1&amp;gt; =&lt;a class="wiki_link" href="/225_224"&gt; 225/224&lt;/a&gt;, the &lt;a class="wiki_link" href="/marvel%20comma"&gt;marvel comma&lt;/a&gt; or &lt;a class="wiki_link" href="/septimal%20kleisma"&gt;septimal kleisma&lt;/a&gt;. These include negri, wizard, tritonic, septimin, slender, triton and marvo. Considered elsewhere are meantone, miracle, magic, pajara, orwell, catakleismic, garibaldi, august, compton, sharp, escapade and mavila.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 502: Line 512:
Badness: 0.0202&lt;br /&gt;
Badness: 0.0202&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc7"&gt;&lt;a name="Wizard"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Wizard&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc7"&gt;&lt;a name="Negroni"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Negroni&lt;/h1&gt;
Commas: 49/48, 55/54, 225/224&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~15/14 = 124.539&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 2 2 3 5|, &amp;lt;0 -4 3 -2 -15|]&lt;br /&gt;
EDOs: 10, 19e, 29, 77cde&lt;br /&gt;
Badness: &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc8"&gt;&lt;a name="Wizard"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Wizard&lt;/h1&gt;
  Commas: 225/224, 118098/117649&lt;br /&gt;
  Commas: 225/224, 118098/117649&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 512: Line 532:
Badness: 0.0408&lt;br /&gt;
Badness: 0.0408&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="Wizard-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;11-limit&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc9"&gt;&lt;a name="Wizard-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;11-limit&lt;/h2&gt;
  Commas: 225/224, 385/384, 4000/3993&lt;br /&gt;
  Commas: 225/224, 385/384, 4000/3993&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 521: Line 541:
Badness: 0.0185&lt;br /&gt;
Badness: 0.0185&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc9"&gt;&lt;a name="Wizard-Lizard"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;Lizard&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc10"&gt;&lt;a name="Wizard-Lizard"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;Lizard&lt;/h2&gt;
  Commas: 225/224, 351/350, 364/363, 385/384&lt;br /&gt;
  Commas: 225/224, 351/350, 364/363, 385/384&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 530: Line 550:
Badness: 0.0218&lt;br /&gt;
Badness: 0.0218&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc10"&gt;&lt;a name="Wizard-Lizard-17-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;17-limit&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc11"&gt;&lt;a name="Wizard-Lizard-17-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;17-limit&lt;/h3&gt;
  Commas: 221/220, 273/272, 289/288, 351/350, 375/374&lt;br /&gt;
  Commas: 221/220, 273/272, 289/288, 351/350, 375/374&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 539: Line 559:
Badness: 0.0145&lt;br /&gt;
Badness: 0.0145&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc11"&gt;&lt;a name="Wizard-Lizard-19-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;19-limit&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc12"&gt;&lt;a name="Wizard-Lizard-19-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;19-limit&lt;/h3&gt;
  Commas: 153/152, 210/209, 221/220, 225/224, 273/272, 343/342&lt;br /&gt;
  Commas: 153/152, 210/209, 221/220, 225/224, 273/272, 343/342&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 548: Line 568:
Badness: 0.0157&lt;br /&gt;
Badness: 0.0157&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc12"&gt;&lt;a name="Wizard-Gizzard"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;Gizzard&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc13"&gt;&lt;a name="Wizard-Gizzard"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;Gizzard&lt;/h2&gt;
  Commas: 225/224, 385/384, 325/324, 1573/1568&lt;br /&gt;
  Commas: 225/224, 385/384, 325/324, 1573/1568&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 557: Line 577:
Badness: 0.0203&lt;br /&gt;
Badness: 0.0203&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc13"&gt;&lt;a name="Wizard-Gizzard-17-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;17-limit&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc14"&gt;&lt;a name="Wizard-Gizzard-17-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;17-limit&lt;/h3&gt;
  Commas: 225/224, 289/288, 325/324, 375/374, 385/384&lt;br /&gt;
  Commas: 225/224, 289/288, 325/324, 375/374, 385/384&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 566: Line 586:
Badness: 0.0136&lt;br /&gt;
Badness: 0.0136&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc14"&gt;&lt;a name="Wizard-Gizzard-19-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;19-limit&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc15"&gt;&lt;a name="Wizard-Gizzard-19-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;19-limit&lt;/h3&gt;
  Commas: 225/224, 385/384, 325/324, 595/594, 375/374, 400/399&lt;br /&gt;
  Commas: 225/224, 385/384, 325/324, 595/594, 375/374, 400/399&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 575: Line 595:
Badness: 0.0148&lt;br /&gt;
Badness: 0.0148&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc15"&gt;&lt;a name="Wizard-Mage"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;Mage&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc16"&gt;&lt;a name="Wizard-Mage"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;Mage&lt;/h2&gt;
  Commas: 99/98, 176/175, 1331/1296&lt;br /&gt;
  Commas: 99/98, 176/175, 1331/1296&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 584: Line 604:
Badness: 0.0578&lt;br /&gt;
Badness: 0.0578&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc16"&gt;&lt;a name="Triton"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;Triton&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc17"&gt;&lt;a name="Triton"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;Triton&lt;/h1&gt;
  Commas: 225/224, 1029/1000&lt;br /&gt;
  Commas: 225/224, 1029/1000&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 593: Line 613:
EDOs: 19, 135, 289&lt;br /&gt;
EDOs: 19, 135, 289&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc17"&gt;&lt;a name="Tritonic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;Tritonic&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc18"&gt;&lt;a name="Tritonic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;Tritonic&lt;/h1&gt;
  Commas: 225/224, 50421/50000&lt;br /&gt;
  Commas: 225/224, 50421/50000&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 602: Line 622:
EDOs: &lt;a class="wiki_link" href="/29edo"&gt;29&lt;/a&gt;, &lt;a class="wiki_link" href="/31edo"&gt;31&lt;/a&gt;, &lt;a class="wiki_link" href="/60edo"&gt;60&lt;/a&gt;, &lt;a class="wiki_link" href="/91edo"&gt;91&lt;/a&gt;, &lt;a class="wiki_link" href="/122edo"&gt;122&lt;/a&gt;, 213bcd&lt;br /&gt;
EDOs: &lt;a class="wiki_link" href="/29edo"&gt;29&lt;/a&gt;, &lt;a class="wiki_link" href="/31edo"&gt;31&lt;/a&gt;, &lt;a class="wiki_link" href="/60edo"&gt;60&lt;/a&gt;, &lt;a class="wiki_link" href="/91edo"&gt;91&lt;/a&gt;, &lt;a class="wiki_link" href="/122edo"&gt;122&lt;/a&gt;, 213bcd&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc18"&gt;&lt;a name="Tritonic-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;11-limit&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:38:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc19"&gt;&lt;a name="Tritonic-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:38 --&gt;11-limit&lt;/h2&gt;
  Commas: 121/120, 225/224, 441/440&lt;br /&gt;
  Commas: 121/120, 225/224, 441/440&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 611: Line 631:
Badness: 0.0237&lt;br /&gt;
Badness: 0.0237&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:38:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc19"&gt;&lt;a name="Tritonic-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:38 --&gt;13-limit&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:40:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc20"&gt;&lt;a name="Tritonic-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:40 --&gt;13-limit&lt;/h2&gt;
  Commas: 105/104, 121/120, 196/195, 275/273&lt;br /&gt;
  Commas: 105/104, 121/120, 196/195, 275/273&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 620: Line 640:
Badness: 0.0230&lt;br /&gt;
Badness: 0.0230&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:40:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc20"&gt;&lt;a name="Tritonic-Tritoni"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:40 --&gt;Tritoni&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:42:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc21"&gt;&lt;a name="Tritonic-Tritoni"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:42 --&gt;Tritoni&lt;/h2&gt;
  Commas: 225/224, 385/384, 27783/27500&lt;br /&gt;
  Commas: 225/224, 385/384, 27783/27500&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 629: Line 649:
Badness: 0.0455&lt;br /&gt;
Badness: 0.0455&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:42:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc21"&gt;&lt;a name="Merman"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:42 --&gt;Merman&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:44:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc22"&gt;&lt;a name="Merman"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:44 --&gt;Merman&lt;/h1&gt;
  Commas: 225/224, 2500000/2470629&lt;br /&gt;
  Commas: 225/224, 2500000/2470629&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 639: Line 659:
Badness: 0.0551&lt;br /&gt;
Badness: 0.0551&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:44:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc22"&gt;&lt;a name="Merman-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:44 --&gt;11-limit&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:46:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc23"&gt;&lt;a name="Merman-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:46 --&gt;11-limit&lt;/h2&gt;
Commas: 225/224, 441/440, 1344/1331&lt;br /&gt;
Commas: 225/224, 441/440, 1344/1331&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 648: Line 668:
Badness: 0.0364&lt;br /&gt;
Badness: 0.0364&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:46:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc23"&gt;&lt;a name="Merman-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:46 --&gt;13-limit&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:48:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc24"&gt;&lt;a name="Merman-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:48 --&gt;13-limit&lt;/h2&gt;
Commas: 144/143, 225/224, 364/363, 441/440&lt;br /&gt;
Commas: 144/143, 225/224, 364/363, 441/440&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 656: Line 676:
EDOs: 41, 84, 125e, 209ef, 293ef&lt;br /&gt;
EDOs: 41, 84, 125e, 209ef, 293ef&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:48:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc24"&gt;&lt;a name="Septimin"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:48 --&gt;Septimin&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:50:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc25"&gt;&lt;a name="Septimin"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:50 --&gt;Septimin&lt;/h1&gt;
  Commas: 225/224, 84035/82944&lt;br /&gt;
  Commas: 225/224, 84035/82944&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 665: Line 685:
EDOs: 9, &lt;a class="wiki_link" href="/32edo"&gt;32&lt;/a&gt;, 41, 91, &lt;a class="wiki_link" href="/132edo"&gt;132&lt;/a&gt;&lt;br /&gt;
EDOs: 9, &lt;a class="wiki_link" href="/32edo"&gt;32&lt;/a&gt;, 41, 91, &lt;a class="wiki_link" href="/132edo"&gt;132&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:50:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc25"&gt;&lt;a name="Septimin-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:50 --&gt;11-limit&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:52:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc26"&gt;&lt;a name="Septimin-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:52 --&gt;11-limit&lt;/h2&gt;
  Commas: 225/224, 385/384, 2401/2376&lt;br /&gt;
  Commas: 225/224, 385/384, 2401/2376&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 673: Line 693:
EDOs: 9, 32, 41, 91, 223cdef&lt;br /&gt;
EDOs: 9, 32, 41, 91, 223cdef&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:52:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc26"&gt;&lt;a name="Septimin-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:52 --&gt;13-limit&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:54:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc27"&gt;&lt;a name="Septimin-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:54 --&gt;13-limit&lt;/h2&gt;
  Commas: 105/104, 144/143, 196/195, 245/242&lt;br /&gt;
  Commas: 105/104, 144/143, 196/195, 245/242&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 681: Line 701:
EDOs: 9, 41, 91&lt;br /&gt;
EDOs: 9, 41, 91&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:54:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc27"&gt;&lt;a name="Slender"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:54 --&gt;Slender&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:56:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc28"&gt;&lt;a name="Slender"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:56 --&gt;Slender&lt;/h1&gt;
  Commas: 225/225, 589824/588245&lt;br /&gt;
  Commas: 225/225, 589824/588245&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 691: Line 711:
Badness: 0.0569&lt;br /&gt;
Badness: 0.0569&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:56:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc28"&gt;&lt;a name="Slender-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:56 --&gt;11-limit&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:58:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc29"&gt;&lt;a name="Slender-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:58 --&gt;11-limit&lt;/h2&gt;
  Commas: 225/224, 385/384, 1331/1323&lt;br /&gt;
  Commas: 225/224, 385/384, 1331/1323&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 700: Line 720:
Badness: 25.342&lt;br /&gt;
Badness: 25.342&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:58:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc29"&gt;&lt;a name="Slender-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:58 --&gt;13-limit&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:60:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc30"&gt;&lt;a name="Slender-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:60 --&gt;13-limit&lt;/h2&gt;
  Commas: 225/224, 275/273, 385/384, 1331/1323&lt;br /&gt;
  Commas: 225/224, 275/273, 385/384, 1331/1323&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 709: Line 729:
Badness: 25.913&lt;br /&gt;
Badness: 25.913&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:60:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc30"&gt;&lt;a name="Marvo"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:60 --&gt;Marvo&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:62:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc31"&gt;&lt;a name="Marvo"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:62 --&gt;Marvo&lt;/h1&gt;
  Commas: 225/224, 78125000/78121827&lt;br /&gt;
  Commas: 225/224, 78125000/78121827&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 718: Line 738:
EDOs: 65, 72&lt;br /&gt;
EDOs: 65, 72&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:62:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc31"&gt;&lt;a name="Marvo-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:62 --&gt;11-limit&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:64:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc32"&gt;&lt;a name="Marvo-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:64 --&gt;11-limit&lt;/h2&gt;
  Commas: 225/224, 243/242, 4000/3993&lt;br /&gt;
  Commas: 225/224, 243/242, 4000/3993&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 726: Line 746:
EDOs: 65, 72, 281, 497&lt;br /&gt;
EDOs: 65, 72, 281, 497&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:64:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc32"&gt;&lt;a name="Marvo-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:64 --&gt;13-limit&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:66:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc33"&gt;&lt;a name="Marvo-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:66 --&gt;13-limit&lt;/h2&gt;
  Commas: 243/242, 225/224, 351/350, 1625/1617&lt;br /&gt;
  Commas: 243/242, 225/224, 351/350, 1625/1617&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 735: Line 755:
Badness: 0.0269&lt;br /&gt;
Badness: 0.0269&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:66:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc33"&gt;&lt;a name="Marvolo"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:66 --&gt;Marvolo&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:68:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc34"&gt;&lt;a name="Marvolo"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:68 --&gt;Marvolo&lt;/h1&gt;
  Commas: 225/224, 156250000/155649627&lt;br /&gt;
  Commas: 225/224, 156250000/155649627&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 745: Line 765:
Badness: 0.0833&lt;br /&gt;
Badness: 0.0833&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:68:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc34"&gt;&lt;a name="Marvolo-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:68 --&gt;11-limit&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:70:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc35"&gt;&lt;a name="Marvolo-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:70 --&gt;11-limit&lt;/h2&gt;
  Commas: 225/224, 441/440, 4000/3993&lt;br /&gt;
  Commas: 225/224, 441/440, 4000/3993&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 754: Line 774:
Badness: 0.0290&lt;br /&gt;
Badness: 0.0290&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:70:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc35"&gt;&lt;a name="Marvolo-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:70 --&gt;13-limit&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:72:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc36"&gt;&lt;a name="Marvolo-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:72 --&gt;13-limit&lt;/h2&gt;
  Commas: 169/168, 225/224, 364/363, 441/440&lt;br /&gt;
  Commas: 169/168, 225/224, 364/363, 441/440&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 763: Line 783:
Badness: 0.0215&lt;br /&gt;
Badness: 0.0215&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:72:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc36"&gt;&lt;a name="Amavil"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:72 --&gt;Amavil&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:74:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc37"&gt;&lt;a name="Amavil"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:74 --&gt;Amavil&lt;/h1&gt;
  Commas: 225/224, 17496/16807&lt;br /&gt;
  Commas: 225/224, 17496/16807&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 773: Line 793:
Badness: 0.1096&lt;br /&gt;
Badness: 0.1096&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:74:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc37"&gt;&lt;a name="Amavil-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:74 --&gt;11-limit&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:76:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc38"&gt;&lt;a name="Amavil-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:76 --&gt;11-limit&lt;/h2&gt;
  Commas: 99/98, 176/175, 864/847&lt;br /&gt;
  Commas: 99/98, 176/175, 864/847&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 782: Line 802:
Badness: 0.0426&lt;br /&gt;
Badness: 0.0426&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:76:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc38"&gt;&lt;a name="Amavil-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:76 --&gt;13-limit&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:78:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc39"&gt;&lt;a name="Amavil-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:78 --&gt;13-limit&lt;/h2&gt;
  Commas: 78/77, 99/98, 144/143, 176/175&lt;br /&gt;
  Commas: 78/77, 99/98, 144/143, 176/175&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 791: Line 811:
Badness: 0.0258&lt;br /&gt;
Badness: 0.0258&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:78:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc39"&gt;&lt;a name="Enneaportent"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:78 --&gt;Enneaportent&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:80:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc40"&gt;&lt;a name="Enneaportent"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:80 --&gt;Enneaportent&lt;/h1&gt;
  Commas: 225/224, 40353607/40310784&lt;br /&gt;
  Commas: 225/224, 40353607/40310784&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 801: Line 821:
Badness: 0.0937&lt;br /&gt;
Badness: 0.0937&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:80:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc40"&gt;&lt;a name="Enneaportent-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:80 --&gt;11-limit&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:82:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc41"&gt;&lt;a name="Enneaportent-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:82 --&gt;11-limit&lt;/h2&gt;
  Commas: 225/224, 385/384, 12005/11979&lt;br /&gt;
  Commas: 225/224, 385/384, 12005/11979&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 810: Line 830:
Badness: 0.0304&lt;br /&gt;
Badness: 0.0304&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:82:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc41"&gt;&lt;a name="Enneaportent-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:82 --&gt;13-limit&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:84:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc42"&gt;&lt;a name="Enneaportent-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:84 --&gt;13-limit&lt;/h2&gt;
Commas: 169/168 225/224 364/363 1716/1715&lt;br /&gt;
Commas: 169/168 225/224 364/363 1716/1715&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;

Revision as of 13:28, 10 March 2012

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author genewardsmith and made on 2012-03-10 13:28:51 UTC.
The original revision id was 309659520.
The revision comment was:

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Original Wikitext content:

[[toc]]

This page discusses some of the temperaments tempering out |-5 2 2 -1> =[[225_224| 225/224]], the [[marvel comma]] or [[septimal kleisma]]. These include negri, wizard, tritonic, septimin, slender, triton and marvo. Considered elsewhere are meantone, miracle, magic, pajara, orwell, catakleismic, garibaldi, august, compton, sharp, escapade and mavila.

Since (5/4)^2 = 225/224 * 14/9, these temperaments tend to have a relatively small complexity for 5/4. They also possess 5/4-9/7 versions of the augmented triad. Since this is a chord of meantone temperament in wide use in Western common practice harmony long before 12edo established itself as the standard tuning, it is arguably more authentic to tune it as two stacked major thirds and a diminished fourth, which is what it is in meantone, than as the modern version of three stacked very sharp major thirds.

=Negri= 
[[Comma]]s: 49/48, 225/224

[[POTE tuning|POTE temperament]]: 125.608

[[Map]]: [<1 2 2 3|, <0 -4 3 -2|]
[[Wedgie]]: <<4 -3 2 -14 -8 13||
EDOs: [[9edo|9]], [[10edo|10]], [[19edo|19]], [[86edo|86]]

==11-limit== 
Commas: 45/44, 49/48, 56/55

[[POTE tuning|POTE generator]]: 126.474

Map: [<1 2 2 3 4|, <0 -4 3 -2 -5|]
EDOs: 9, 10, 19
[[Badness]]: 0.0262

==13-limit== 
Commas: 45/44, 49/48, 56/55, 78/77

[[POTE tuning|POTE generator]]: 126.431

Map: [<1 2 2 3 4 4|, <0 -4 3 -2 -5 -3|]
EDOs: 9, 10, 19

=Negril= 
Commas: 49/48, 100/99, 225/224

POTE generator: ~15/14 = 124.767

Map: [<1 2 2 3 2|, <0 -4 3 -2 14|]
EDOs: 19, [[29edo|29]], [[48edo|48df]], [[77edo|77cdf]]
Badness: 0.0387

==13-limit== 
Commas: 49/48, 65/64, 91/90, 875/858

POTE generator: ~15/14 = 124.716

Map: [<1 2 2 3 2 4|, <0 -4 3 -2 14 -3|]
EDOs: 9, 10, 19, 29, 48, 77
Badness: 0.0244

=Negric= 
Commas: 33/32, 49/48, 77/75

POTE generator: ~15/14 = 127.039

Map: [<1 2 2 3 3|, <0 -4 3 -2 4|]
EDOs: 9, 19, [[85edo|85]]
Badness: 0.0306

==13-limit== 
Commas: 33/32, 49/48, 65/64, 91/90

POTE generator: ~15/14 = 127.039

Map: [<1 2 2 3 3 4|, <0 -4 3 -2 4 -3|]
EDOs: 9, 19, 85
Badness: 0.0202

=Negroni=
Commas: 49/48, 55/54, 225/224

POTE generator: ~15/14 = 124.539

Map: [<1 2 2 3 5|, <0 -4 3 -2 -15|]
EDOs: 10, 19e, 29, 77cde
Badness: 


=Wizard= 
Commas: 225/224, 118098/117649

[[POTE tuning|POTE temperament]]: 383.256

Map: [<2 1 5 2|, <0 6 -1 10|]
Wedgie: <<12 -2 20 -31 -2 52||
EDOs: [[22edo|22]], [[50edo|50]], [[72edo|72]], [[94edo|94]], [[166edo|166]], [[238edo|238c]], [[310edo|310c]], [[382edo|382c]]
Badness: 0.0408

==11-limit== 
Commas: 225/224, 385/384, 4000/3993

[[POTE tuning|POTE temperament]]: 383.232

Map: [<2 1 5 2 8|, <0 6 -1 10 -3|]
EDOs: 22, 50, 72, 94, [[166edo|166]], [[238edo|238c]], [[310edo|310c]]
Badness: 0.0185

==Lizard== 
Commas: 225/224, 351/350, 364/363, 385/384

[[POTE tuning|POTE temperament]]: 383.389

Map: [<2 1 5 2 8 11|, <0 6 -1 10 -3 -10|]
EDOs: 22, 50, 72, 122, 194df
Badness: 0.0218

===17-limit=== 
Commas: 221/220, 273/272, 289/288, 351/350, 375/374

[[POTE tuning|POTE temperament]]: 383.381

Map: [<2 1 5 2 8 11 6|, <0 6 -1 10 -3 -10 6|]
EDOs: 22, 50, 72, 122g, 194dfg
Badness: 0.0145

===19-limit=== 
Commas: 153/152, 210/209, 221/220, 225/224, 273/272, 343/342

[[POTE tuning|POTE generator]]: ~5/4 = 383.477

Map: [<2 1 5 2 8 11 6 2|, <0 6 -1 10 -3 -10 6 18|]
EDOs: 22h, 50, 72, [[122edo|122g]], [[194edo|194dfg]]
Badness: 0.0157

==Gizzard== 
Commas: 225/224, 385/384, 325/324, 1573/1568

POTE generator: ~5/4 = 383.170

Map: [<2 1 5 2 8 -2|, <0 6 -1 10 -3 26|]
EDOs: [[22edo|22]], [[26edo|72]], [[94edo|94]], [[166edo|166]], [[238edo|238cf]]
Badness: 0.0203

===17-limit=== 
Commas: 225/224, 289/288, 325/324, 375/374, 385/384

POTE generator: ~5/4 = 383.175

Map: [<2 1 5 2 8 -2 6|, <0 6 -1 10 -3 26 6|]
EDOs: 22f, 72, 94, [[166edo|166g]], [[238edo|238cfg]]
Badness: 0.0136

===19-limit=== 
Commas: 225/224, 385/384, 325/324, 595/594, 375/374, 400/399

POTE generator: ~5/4 = 383.138

Map: [<2 1 5 2 8 -2 6 15|, <0 6 -1 10 -3 26 6 -18|]
EDOs: 22f, 72, 94, 166g
Badness: 0.0148

==Mage== 
Commas: 99/98, 176/175, 1331/1296

POTE generator: ~55/48 = 216.876

Map: [<2 1 5 2 4|, <0 6 -1 10 8|]
EDOs: 22, 72e, 94e
Badness: 0.0578

=Triton= 
Commas: 225/224, 1029/1000

[[POTE tuning|POTE temperament]]: 568.865

Map: [<1 0 6 7|, <0 3 -7 -8|]
Wedgie: <<3 -7 -8 -18 -21 1||
EDOs: 19, 135, 289

=Tritonic= 
Commas: 225/224, 50421/50000

[[POTE tuning|POTE temperament]]: 580.286

Map: [<1 4 -3 -3|, <0 -5 11 12|]
Wedgie: <<5 -11 -12 -29 -33 3||
EDOs: [[29edo|29]], [[31edo|31]], [[60edo|60]], [[91edo|91]], [[122edo|122]], 213bcd

==11-limit== 
Commas: 121/120, 225/224, 441/440

[[POTE tuning|POTE generator]]: ~7/5 = 580.267

Map: [<1 4 -3 -3 2|, <0 -5 11 12 3|]
EDOs: 29, 31, 60e
Badness: 0.0237

==13-limit== 
Commas: 105/104, 121/120, 196/195, 275/273

POTE generator: ~7/5 = 580.108

Map: [<1 4 -3 -3 2 -5|, <0 -5 11 12 3 18|]
EDOs: 29, 31, 60e, 151cde
Badness: 0.0230

==Tritoni== 
Commas: 225/224, 385/384, 27783/27500

POTE generator: ~7/5 = 580.389

Map: [<1 4 -3 -3 17|, <0 -5 11 12 -28|]
EDOs: 31, 91, 122
Badness: 0.0455

=Merman= 
Commas: 225/224, 2500000/2470629

POTE generator: ~7/5 = 585.585

Map: [<1 5 -5 -5|, <0 -7 15 16|]
Wedgie: <<7 -15 -16 -40 -45 5||
EDOs: 41, 84, 125
Badness: 0.0551

==11-limit==
Commas: 225/224, 441/440, 1344/1331

POTE generator: ~7/5 = 585.606

Map: [<1 5 -5 -5 2|, <0 -7 15 16 3]]
EDOs: 41, 84, 125e
Badness: 0.0364

==13-limit==
Commas: 144/143, 225/224, 364/363, 441/440

POTE generator: ~7/5 = 585.657

Map: [<1 5 -5 -5 2 12|, <0 -7 15 16 3 -17|]
EDOs: 41, 84, 125e, 209ef, 293ef

=Septimin= 
Commas: 225/224, 84035/82944

[[POTE tuning|POTE temperament]]: 263.632

Map: [<1 4 1 5|, <0 -11 6 -10|]
Wedgie: <<11 -6 10 -35 -15 40||
EDOs: 9, [[32edo|32]], 41, 91, [[132edo|132]]

==11-limit== 
Commas: 225/224, 385/384, 2401/2376

[[POTE tuning|POTE temperament]]: 263.634

Map: [<1 4 1 5 5|, <0 -11 6 -10 -7|]
EDOs: 9, 32, 41, 91, 223cdef

==13-limit== 
Commas: 105/104, 144/143, 196/195, 245/242

[[POTE tuning|POTE temperament]]: 263.700

Map: [<1 4 1 5 5 7|, <0 -11 6 -10 -7 -15|]
EDOs: 9, 41, 91

=Slender= 
Commas: 225/225, 589824/588245

[[POTE tuning|POTE temperament]]: ~49/48 = 38.413

Map: [<1 2 2 3|, <0 -13 10 -6|]
Wedgie: <<13 -10 6 -46 -27 42||
EDOs: 31, 94, 125
Badness: 0.0569

==11-limit== 
Commas: 225/224, 385/384, 1331/1323

[[POTE tuning|POTE temperament]]: ~49/48 = 38.387

Map: [<1 2 2 3 4|, <0 -13 10 -6 -17|]
EDOs: 31, 63, 94, 125
Badness: 25.342

==13-limit== 
Commas: 225/224, 275/273, 385/384, 1331/1323

POTE generator: ~49/48 = 38.314

Map: [<1 2 2 3 4 3|, <0 -13 10 -6 -17 22|]
EDOs: 31, 63, 94
Badness: 25.913

=Marvo= 
Commas: 225/224, 78125000/78121827

[[POTE tuning|POTE temperament]]: ~27/20 = 516.694

Map: [<1 5 12 29|, <0 -6 -17 -46|]
Wedgie: <<6, 17, 46, 13, 56 59||
EDOs: 65, 72

==11-limit== 
Commas: 225/224, 243/242, 4000/3993

[[POTE tuning|POTE temperament]]: ~27/20 = 516.699

Map: [<1 5 12 29 12|, <0 -6 -17 -46 -15|]
EDOs: 65, 72, 281, 497

==13-limit== 
Commas: 243/242, 225/224, 351/350, 1625/1617

POTE generator: ~27/20 = 516.730

Map: [<1 5 12 29 12 39|, <0 -6 -17 -46 -15 -62|]
EDOs: 72, 137, 209, 281f, 490bcf
Badness: 0.0269

=Marvolo= 
Commas: 225/224, 156250000/155649627

POTE generator: ~21/20 = 83.348

Map: [<1 2 1 1|, <0 -6 19 26|]
Wedgie: <<6 -19 -26 -44 -58 -7||
EDOs: 29, 43, 72, 619bcd, 691bcd
Badness: 0.0833

==11-limit== 
Commas: 225/224, 441/440, 4000/3993

POTE generator: ~21/20 = 83.340

Map: [<1 2 1 1 2|, <0 -6 19 26 21|]
EDOs: 29, 43, 72
Badness: 0.0290

==13-limit== 
Commas: 169/168, 225/224, 364/363, 441/440

POTE generator: ~21/20 = 83.330

Map: [<1 2 1 1 2 3|, <0 -6 19 26 21 10|]
EDOs: 29, 43, 72
Badness: 0.0215

=Amavil= 
Commas: 225/224, 17496/16807

POTE generator: ~48/35 = 529.979

Map: [<1 6 1 9|, <0 -10 3 -14|]
Wedgie: <<10 -3 14 -28 -6 41||
EDOs: 9, 34d, 43, 77d
Badness: 0.1096

==11-limit== 
Commas: 99/98, 176/175, 864/847

POTE generator: ~15/11 = 529.974

Map: [<1 6 1 9 7|, <0 -10 3 -14 -8|]
EDOs: 9, 34d, 43, 77de
Badness: 0.0426

==13-limit== 
Commas: 78/77, 99/98, 144/143, 176/175

POTE generator: ~15/11 = 529.951

Map: [<1 6 1 9 7 9|, <0 -10 3 -14 -8 -12|]
EDOs: 9, 34d, 43, 77de
Badness: 0.0258

=Enneaportent= 
Commas: 225/224, 40353607/40310784

POTE generator: ~5/4 = 383.165

Map: [<9 0 28 11|, <0 2 -1 2|]
Wedgie: <<18 -9 18 -56 -22 67||
EDOs: 9, 54, 63, 72, 495bcd
Badness: 0.0937

==11-limit== 
Commas: 225/224, 385/384, 12005/11979

POTE generator: ~5/4 = 383.146

Map: [<9 0 28 11 24|, <0 2 -1 2 1|]
EDOs: 9, 54, 63, 72, 423cd, 495bcd
Badness: 0.0304

==13-limit==
Commas: 169/168 225/224 364/363 1716/1715

POTE generator: ~5/4 = 383.047

Map: [<9 0 28 11 24 19|, <0 2 -1 2 1 2|]
EDOs: 9, 54, 63, 72, 279cf
Badness: 0.0223

Original HTML content:

<html><head><title>Marvel temperaments</title></head><body><!-- ws:start:WikiTextTocRule:86:&lt;img id=&quot;wikitext@@toc@@normal&quot; class=&quot;WikiMedia WikiMediaToc&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/normal?w=225&amp;h=100&quot;/&gt; --><div id="toc"><h1 class="nopad">Table of Contents</h1><!-- ws:end:WikiTextTocRule:86 --><!-- ws:start:WikiTextTocRule:87: --><div style="margin-left: 1em;"><a href="#Negri">Negri</a></div>
<!-- ws:end:WikiTextTocRule:87 --><!-- ws:start:WikiTextTocRule:88: --><div style="margin-left: 2em;"><a href="#Negri-11-limit">11-limit</a></div>
<!-- ws:end:WikiTextTocRule:88 --><!-- ws:start:WikiTextTocRule:89: --><div style="margin-left: 2em;"><a href="#Negri-13-limit">13-limit</a></div>
<!-- ws:end:WikiTextTocRule:89 --><!-- ws:start:WikiTextTocRule:90: --><div style="margin-left: 1em;"><a href="#Negril">Negril</a></div>
<!-- ws:end:WikiTextTocRule:90 --><!-- ws:start:WikiTextTocRule:91: --><div style="margin-left: 2em;"><a href="#Negril-13-limit">13-limit</a></div>
<!-- ws:end:WikiTextTocRule:91 --><!-- ws:start:WikiTextTocRule:92: --><div style="margin-left: 1em;"><a href="#Negric">Negric</a></div>
<!-- ws:end:WikiTextTocRule:92 --><!-- ws:start:WikiTextTocRule:93: --><div style="margin-left: 2em;"><a href="#Negric-13-limit">13-limit</a></div>
<!-- ws:end:WikiTextTocRule:93 --><!-- ws:start:WikiTextTocRule:94: --><div style="margin-left: 1em;"><a href="#Negroni">Negroni</a></div>
<!-- ws:end:WikiTextTocRule:94 --><!-- ws:start:WikiTextTocRule:95: --><div style="margin-left: 1em;"><a href="#Wizard">Wizard</a></div>
<!-- ws:end:WikiTextTocRule:95 --><!-- ws:start:WikiTextTocRule:96: --><div style="margin-left: 2em;"><a href="#Wizard-11-limit">11-limit</a></div>
<!-- ws:end:WikiTextTocRule:96 --><!-- ws:start:WikiTextTocRule:97: --><div style="margin-left: 2em;"><a href="#Wizard-Lizard">Lizard</a></div>
<!-- ws:end:WikiTextTocRule:97 --><!-- ws:start:WikiTextTocRule:98: --><div style="margin-left: 3em;"><a href="#Wizard-Lizard-17-limit">17-limit</a></div>
<!-- ws:end:WikiTextTocRule:98 --><!-- ws:start:WikiTextTocRule:99: --><div style="margin-left: 3em;"><a href="#Wizard-Lizard-19-limit">19-limit</a></div>
<!-- ws:end:WikiTextTocRule:99 --><!-- ws:start:WikiTextTocRule:100: --><div style="margin-left: 2em;"><a href="#Wizard-Gizzard">Gizzard</a></div>
<!-- ws:end:WikiTextTocRule:100 --><!-- ws:start:WikiTextTocRule:101: --><div style="margin-left: 3em;"><a href="#Wizard-Gizzard-17-limit">17-limit</a></div>
<!-- ws:end:WikiTextTocRule:101 --><!-- ws:start:WikiTextTocRule:102: --><div style="margin-left: 3em;"><a href="#Wizard-Gizzard-19-limit">19-limit</a></div>
<!-- ws:end:WikiTextTocRule:102 --><!-- ws:start:WikiTextTocRule:103: --><div style="margin-left: 2em;"><a href="#Wizard-Mage">Mage</a></div>
<!-- ws:end:WikiTextTocRule:103 --><!-- ws:start:WikiTextTocRule:104: --><div style="margin-left: 1em;"><a href="#Triton">Triton</a></div>
<!-- ws:end:WikiTextTocRule:104 --><!-- ws:start:WikiTextTocRule:105: --><div style="margin-left: 1em;"><a href="#Tritonic">Tritonic</a></div>
<!-- ws:end:WikiTextTocRule:105 --><!-- ws:start:WikiTextTocRule:106: --><div style="margin-left: 2em;"><a href="#Tritonic-11-limit">11-limit</a></div>
<!-- ws:end:WikiTextTocRule:106 --><!-- ws:start:WikiTextTocRule:107: --><div style="margin-left: 2em;"><a href="#Tritonic-13-limit">13-limit</a></div>
<!-- ws:end:WikiTextTocRule:107 --><!-- ws:start:WikiTextTocRule:108: --><div style="margin-left: 2em;"><a href="#Tritonic-Tritoni">Tritoni</a></div>
<!-- ws:end:WikiTextTocRule:108 --><!-- ws:start:WikiTextTocRule:109: --><div style="margin-left: 1em;"><a href="#Merman">Merman</a></div>
<!-- ws:end:WikiTextTocRule:109 --><!-- ws:start:WikiTextTocRule:110: --><div style="margin-left: 2em;"><a href="#Merman-11-limit">11-limit</a></div>
<!-- ws:end:WikiTextTocRule:110 --><!-- ws:start:WikiTextTocRule:111: --><div style="margin-left: 2em;"><a href="#Merman-13-limit">13-limit</a></div>
<!-- ws:end:WikiTextTocRule:111 --><!-- ws:start:WikiTextTocRule:112: --><div style="margin-left: 1em;"><a href="#Septimin">Septimin</a></div>
<!-- ws:end:WikiTextTocRule:112 --><!-- ws:start:WikiTextTocRule:113: --><div style="margin-left: 2em;"><a href="#Septimin-11-limit">11-limit</a></div>
<!-- ws:end:WikiTextTocRule:113 --><!-- ws:start:WikiTextTocRule:114: --><div style="margin-left: 2em;"><a href="#Septimin-13-limit">13-limit</a></div>
<!-- ws:end:WikiTextTocRule:114 --><!-- ws:start:WikiTextTocRule:115: --><div style="margin-left: 1em;"><a href="#Slender">Slender</a></div>
<!-- ws:end:WikiTextTocRule:115 --><!-- ws:start:WikiTextTocRule:116: --><div style="margin-left: 2em;"><a href="#Slender-11-limit">11-limit</a></div>
<!-- ws:end:WikiTextTocRule:116 --><!-- ws:start:WikiTextTocRule:117: --><div style="margin-left: 2em;"><a href="#Slender-13-limit">13-limit</a></div>
<!-- ws:end:WikiTextTocRule:117 --><!-- ws:start:WikiTextTocRule:118: --><div style="margin-left: 1em;"><a href="#Marvo">Marvo</a></div>
<!-- ws:end:WikiTextTocRule:118 --><!-- ws:start:WikiTextTocRule:119: --><div style="margin-left: 2em;"><a href="#Marvo-11-limit">11-limit</a></div>
<!-- ws:end:WikiTextTocRule:119 --><!-- ws:start:WikiTextTocRule:120: --><div style="margin-left: 2em;"><a href="#Marvo-13-limit">13-limit</a></div>
<!-- ws:end:WikiTextTocRule:120 --><!-- ws:start:WikiTextTocRule:121: --><div style="margin-left: 1em;"><a href="#Marvolo">Marvolo</a></div>
<!-- ws:end:WikiTextTocRule:121 --><!-- ws:start:WikiTextTocRule:122: --><div style="margin-left: 2em;"><a href="#Marvolo-11-limit">11-limit</a></div>
<!-- ws:end:WikiTextTocRule:122 --><!-- ws:start:WikiTextTocRule:123: --><div style="margin-left: 2em;"><a href="#Marvolo-13-limit">13-limit</a></div>
<!-- ws:end:WikiTextTocRule:123 --><!-- ws:start:WikiTextTocRule:124: --><div style="margin-left: 1em;"><a href="#Amavil">Amavil</a></div>
<!-- ws:end:WikiTextTocRule:124 --><!-- ws:start:WikiTextTocRule:125: --><div style="margin-left: 2em;"><a href="#Amavil-11-limit">11-limit</a></div>
<!-- ws:end:WikiTextTocRule:125 --><!-- ws:start:WikiTextTocRule:126: --><div style="margin-left: 2em;"><a href="#Amavil-13-limit">13-limit</a></div>
<!-- ws:end:WikiTextTocRule:126 --><!-- ws:start:WikiTextTocRule:127: --><div style="margin-left: 1em;"><a href="#Enneaportent">Enneaportent</a></div>
<!-- ws:end:WikiTextTocRule:127 --><!-- ws:start:WikiTextTocRule:128: --><div style="margin-left: 2em;"><a href="#Enneaportent-11-limit">11-limit</a></div>
<!-- ws:end:WikiTextTocRule:128 --><!-- ws:start:WikiTextTocRule:129: --><div style="margin-left: 2em;"><a href="#Enneaportent-13-limit">13-limit</a></div>
<!-- ws:end:WikiTextTocRule:129 --><!-- ws:start:WikiTextTocRule:130: --></div>
<!-- ws:end:WikiTextTocRule:130 --><br />
This page discusses some of the temperaments tempering out |-5 2 2 -1&gt; =<a class="wiki_link" href="/225_224"> 225/224</a>, the <a class="wiki_link" href="/marvel%20comma">marvel comma</a> or <a class="wiki_link" href="/septimal%20kleisma">septimal kleisma</a>. These include negri, wizard, tritonic, septimin, slender, triton and marvo. Considered elsewhere are meantone, miracle, magic, pajara, orwell, catakleismic, garibaldi, august, compton, sharp, escapade and mavila.<br />
<br />
Since (5/4)^2 = 225/224 * 14/9, these temperaments tend to have a relatively small complexity for 5/4. They also possess 5/4-9/7 versions of the augmented triad. Since this is a chord of meantone temperament in wide use in Western common practice harmony long before 12edo established itself as the standard tuning, it is arguably more authentic to tune it as two stacked major thirds and a diminished fourth, which is what it is in meantone, than as the modern version of three stacked very sharp major thirds.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Negri"></a><!-- ws:end:WikiTextHeadingRule:0 -->Negri</h1>
 <a class="wiki_link" href="/Comma">Comma</a>s: 49/48, 225/224<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: 125.608<br />
<br />
<a class="wiki_link" href="/Map">Map</a>: [&lt;1 2 2 3|, &lt;0 -4 3 -2|]<br />
<a class="wiki_link" href="/Wedgie">Wedgie</a>: &lt;&lt;4 -3 2 -14 -8 13||<br />
EDOs: <a class="wiki_link" href="/9edo">9</a>, <a class="wiki_link" href="/10edo">10</a>, <a class="wiki_link" href="/19edo">19</a>, <a class="wiki_link" href="/86edo">86</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Negri-11-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-limit</h2>
 Commas: 45/44, 49/48, 56/55<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 126.474<br />
<br />
Map: [&lt;1 2 2 3 4|, &lt;0 -4 3 -2 -5|]<br />
EDOs: 9, 10, 19<br />
<a class="wiki_link" href="/Badness">Badness</a>: 0.0262<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Negri-13-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->13-limit</h2>
 Commas: 45/44, 49/48, 56/55, 78/77<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 126.431<br />
<br />
Map: [&lt;1 2 2 3 4 4|, &lt;0 -4 3 -2 -5 -3|]<br />
EDOs: 9, 10, 19<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Negril"></a><!-- ws:end:WikiTextHeadingRule:6 -->Negril</h1>
 Commas: 49/48, 100/99, 225/224<br />
<br />
POTE generator: ~15/14 = 124.767<br />
<br />
Map: [&lt;1 2 2 3 2|, &lt;0 -4 3 -2 14|]<br />
EDOs: 19, <a class="wiki_link" href="/29edo">29</a>, <a class="wiki_link" href="/48edo">48df</a>, <a class="wiki_link" href="/77edo">77cdf</a><br />
Badness: 0.0387<br />
<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Negril-13-limit"></a><!-- ws:end:WikiTextHeadingRule:8 -->13-limit</h2>
 Commas: 49/48, 65/64, 91/90, 875/858<br />
<br />
POTE generator: ~15/14 = 124.716<br />
<br />
Map: [&lt;1 2 2 3 2 4|, &lt;0 -4 3 -2 14 -3|]<br />
EDOs: 9, 10, 19, 29, 48, 77<br />
Badness: 0.0244<br />
<br />
<!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Negric"></a><!-- ws:end:WikiTextHeadingRule:10 -->Negric</h1>
 Commas: 33/32, 49/48, 77/75<br />
<br />
POTE generator: ~15/14 = 127.039<br />
<br />
Map: [&lt;1 2 2 3 3|, &lt;0 -4 3 -2 4|]<br />
EDOs: 9, 19, <a class="wiki_link" href="/85edo">85</a><br />
Badness: 0.0306<br />
<br />
<!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Negric-13-limit"></a><!-- ws:end:WikiTextHeadingRule:12 -->13-limit</h2>
 Commas: 33/32, 49/48, 65/64, 91/90<br />
<br />
POTE generator: ~15/14 = 127.039<br />
<br />
Map: [&lt;1 2 2 3 3 4|, &lt;0 -4 3 -2 4 -3|]<br />
EDOs: 9, 19, 85<br />
Badness: 0.0202<br />
<br />
<!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="Negroni"></a><!-- ws:end:WikiTextHeadingRule:14 -->Negroni</h1>
Commas: 49/48, 55/54, 225/224<br />
<br />
POTE generator: ~15/14 = 124.539<br />
<br />
Map: [&lt;1 2 2 3 5|, &lt;0 -4 3 -2 -15|]<br />
EDOs: 10, 19e, 29, 77cde<br />
Badness: <br />
<br />
<br />
<!-- ws:start:WikiTextHeadingRule:16:&lt;h1&gt; --><h1 id="toc8"><a name="Wizard"></a><!-- ws:end:WikiTextHeadingRule:16 -->Wizard</h1>
 Commas: 225/224, 118098/117649<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: 383.256<br />
<br />
Map: [&lt;2 1 5 2|, &lt;0 6 -1 10|]<br />
Wedgie: &lt;&lt;12 -2 20 -31 -2 52||<br />
EDOs: <a class="wiki_link" href="/22edo">22</a>, <a class="wiki_link" href="/50edo">50</a>, <a class="wiki_link" href="/72edo">72</a>, <a class="wiki_link" href="/94edo">94</a>, <a class="wiki_link" href="/166edo">166</a>, <a class="wiki_link" href="/238edo">238c</a>, <a class="wiki_link" href="/310edo">310c</a>, <a class="wiki_link" href="/382edo">382c</a><br />
Badness: 0.0408<br />
<br />
<!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="Wizard-11-limit"></a><!-- ws:end:WikiTextHeadingRule:18 -->11-limit</h2>
 Commas: 225/224, 385/384, 4000/3993<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: 383.232<br />
<br />
Map: [&lt;2 1 5 2 8|, &lt;0 6 -1 10 -3|]<br />
EDOs: 22, 50, 72, 94, <a class="wiki_link" href="/166edo">166</a>, <a class="wiki_link" href="/238edo">238c</a>, <a class="wiki_link" href="/310edo">310c</a><br />
Badness: 0.0185<br />
<br />
<!-- ws:start:WikiTextHeadingRule:20:&lt;h2&gt; --><h2 id="toc10"><a name="Wizard-Lizard"></a><!-- ws:end:WikiTextHeadingRule:20 -->Lizard</h2>
 Commas: 225/224, 351/350, 364/363, 385/384<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: 383.389<br />
<br />
Map: [&lt;2 1 5 2 8 11|, &lt;0 6 -1 10 -3 -10|]<br />
EDOs: 22, 50, 72, 122, 194df<br />
Badness: 0.0218<br />
<br />
<!-- ws:start:WikiTextHeadingRule:22:&lt;h3&gt; --><h3 id="toc11"><a name="Wizard-Lizard-17-limit"></a><!-- ws:end:WikiTextHeadingRule:22 -->17-limit</h3>
 Commas: 221/220, 273/272, 289/288, 351/350, 375/374<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: 383.381<br />
<br />
Map: [&lt;2 1 5 2 8 11 6|, &lt;0 6 -1 10 -3 -10 6|]<br />
EDOs: 22, 50, 72, 122g, 194dfg<br />
Badness: 0.0145<br />
<br />
<!-- ws:start:WikiTextHeadingRule:24:&lt;h3&gt; --><h3 id="toc12"><a name="Wizard-Lizard-19-limit"></a><!-- ws:end:WikiTextHeadingRule:24 -->19-limit</h3>
 Commas: 153/152, 210/209, 221/220, 225/224, 273/272, 343/342<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~5/4 = 383.477<br />
<br />
Map: [&lt;2 1 5 2 8 11 6 2|, &lt;0 6 -1 10 -3 -10 6 18|]<br />
EDOs: 22h, 50, 72, <a class="wiki_link" href="/122edo">122g</a>, <a class="wiki_link" href="/194edo">194dfg</a><br />
Badness: 0.0157<br />
<br />
<!-- ws:start:WikiTextHeadingRule:26:&lt;h2&gt; --><h2 id="toc13"><a name="Wizard-Gizzard"></a><!-- ws:end:WikiTextHeadingRule:26 -->Gizzard</h2>
 Commas: 225/224, 385/384, 325/324, 1573/1568<br />
<br />
POTE generator: ~5/4 = 383.170<br />
<br />
Map: [&lt;2 1 5 2 8 -2|, &lt;0 6 -1 10 -3 26|]<br />
EDOs: <a class="wiki_link" href="/22edo">22</a>, <a class="wiki_link" href="/26edo">72</a>, <a class="wiki_link" href="/94edo">94</a>, <a class="wiki_link" href="/166edo">166</a>, <a class="wiki_link" href="/238edo">238cf</a><br />
Badness: 0.0203<br />
<br />
<!-- ws:start:WikiTextHeadingRule:28:&lt;h3&gt; --><h3 id="toc14"><a name="Wizard-Gizzard-17-limit"></a><!-- ws:end:WikiTextHeadingRule:28 -->17-limit</h3>
 Commas: 225/224, 289/288, 325/324, 375/374, 385/384<br />
<br />
POTE generator: ~5/4 = 383.175<br />
<br />
Map: [&lt;2 1 5 2 8 -2 6|, &lt;0 6 -1 10 -3 26 6|]<br />
EDOs: 22f, 72, 94, <a class="wiki_link" href="/166edo">166g</a>, <a class="wiki_link" href="/238edo">238cfg</a><br />
Badness: 0.0136<br />
<br />
<!-- ws:start:WikiTextHeadingRule:30:&lt;h3&gt; --><h3 id="toc15"><a name="Wizard-Gizzard-19-limit"></a><!-- ws:end:WikiTextHeadingRule:30 -->19-limit</h3>
 Commas: 225/224, 385/384, 325/324, 595/594, 375/374, 400/399<br />
<br />
POTE generator: ~5/4 = 383.138<br />
<br />
Map: [&lt;2 1 5 2 8 -2 6 15|, &lt;0 6 -1 10 -3 26 6 -18|]<br />
EDOs: 22f, 72, 94, 166g<br />
Badness: 0.0148<br />
<br />
<!-- ws:start:WikiTextHeadingRule:32:&lt;h2&gt; --><h2 id="toc16"><a name="Wizard-Mage"></a><!-- ws:end:WikiTextHeadingRule:32 -->Mage</h2>
 Commas: 99/98, 176/175, 1331/1296<br />
<br />
POTE generator: ~55/48 = 216.876<br />
<br />
Map: [&lt;2 1 5 2 4|, &lt;0 6 -1 10 8|]<br />
EDOs: 22, 72e, 94e<br />
Badness: 0.0578<br />
<br />
<!-- ws:start:WikiTextHeadingRule:34:&lt;h1&gt; --><h1 id="toc17"><a name="Triton"></a><!-- ws:end:WikiTextHeadingRule:34 -->Triton</h1>
 Commas: 225/224, 1029/1000<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: 568.865<br />
<br />
Map: [&lt;1 0 6 7|, &lt;0 3 -7 -8|]<br />
Wedgie: &lt;&lt;3 -7 -8 -18 -21 1||<br />
EDOs: 19, 135, 289<br />
<br />
<!-- ws:start:WikiTextHeadingRule:36:&lt;h1&gt; --><h1 id="toc18"><a name="Tritonic"></a><!-- ws:end:WikiTextHeadingRule:36 -->Tritonic</h1>
 Commas: 225/224, 50421/50000<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: 580.286<br />
<br />
Map: [&lt;1 4 -3 -3|, &lt;0 -5 11 12|]<br />
Wedgie: &lt;&lt;5 -11 -12 -29 -33 3||<br />
EDOs: <a class="wiki_link" href="/29edo">29</a>, <a class="wiki_link" href="/31edo">31</a>, <a class="wiki_link" href="/60edo">60</a>, <a class="wiki_link" href="/91edo">91</a>, <a class="wiki_link" href="/122edo">122</a>, 213bcd<br />
<br />
<!-- ws:start:WikiTextHeadingRule:38:&lt;h2&gt; --><h2 id="toc19"><a name="Tritonic-11-limit"></a><!-- ws:end:WikiTextHeadingRule:38 -->11-limit</h2>
 Commas: 121/120, 225/224, 441/440<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~7/5 = 580.267<br />
<br />
Map: [&lt;1 4 -3 -3 2|, &lt;0 -5 11 12 3|]<br />
EDOs: 29, 31, 60e<br />
Badness: 0.0237<br />
<br />
<!-- ws:start:WikiTextHeadingRule:40:&lt;h2&gt; --><h2 id="toc20"><a name="Tritonic-13-limit"></a><!-- ws:end:WikiTextHeadingRule:40 -->13-limit</h2>
 Commas: 105/104, 121/120, 196/195, 275/273<br />
<br />
POTE generator: ~7/5 = 580.108<br />
<br />
Map: [&lt;1 4 -3 -3 2 -5|, &lt;0 -5 11 12 3 18|]<br />
EDOs: 29, 31, 60e, 151cde<br />
Badness: 0.0230<br />
<br />
<!-- ws:start:WikiTextHeadingRule:42:&lt;h2&gt; --><h2 id="toc21"><a name="Tritonic-Tritoni"></a><!-- ws:end:WikiTextHeadingRule:42 -->Tritoni</h2>
 Commas: 225/224, 385/384, 27783/27500<br />
<br />
POTE generator: ~7/5 = 580.389<br />
<br />
Map: [&lt;1 4 -3 -3 17|, &lt;0 -5 11 12 -28|]<br />
EDOs: 31, 91, 122<br />
Badness: 0.0455<br />
<br />
<!-- ws:start:WikiTextHeadingRule:44:&lt;h1&gt; --><h1 id="toc22"><a name="Merman"></a><!-- ws:end:WikiTextHeadingRule:44 -->Merman</h1>
 Commas: 225/224, 2500000/2470629<br />
<br />
POTE generator: ~7/5 = 585.585<br />
<br />
Map: [&lt;1 5 -5 -5|, &lt;0 -7 15 16|]<br />
Wedgie: &lt;&lt;7 -15 -16 -40 -45 5||<br />
EDOs: 41, 84, 125<br />
Badness: 0.0551<br />
<br />
<!-- ws:start:WikiTextHeadingRule:46:&lt;h2&gt; --><h2 id="toc23"><a name="Merman-11-limit"></a><!-- ws:end:WikiTextHeadingRule:46 -->11-limit</h2>
Commas: 225/224, 441/440, 1344/1331<br />
<br />
POTE generator: ~7/5 = 585.606<br />
<br />
Map: [&lt;1 5 -5 -5 2|, &lt;0 -7 15 16 3]]<br />
EDOs: 41, 84, 125e<br />
Badness: 0.0364<br />
<br />
<!-- ws:start:WikiTextHeadingRule:48:&lt;h2&gt; --><h2 id="toc24"><a name="Merman-13-limit"></a><!-- ws:end:WikiTextHeadingRule:48 -->13-limit</h2>
Commas: 144/143, 225/224, 364/363, 441/440<br />
<br />
POTE generator: ~7/5 = 585.657<br />
<br />
Map: [&lt;1 5 -5 -5 2 12|, &lt;0 -7 15 16 3 -17|]<br />
EDOs: 41, 84, 125e, 209ef, 293ef<br />
<br />
<!-- ws:start:WikiTextHeadingRule:50:&lt;h1&gt; --><h1 id="toc25"><a name="Septimin"></a><!-- ws:end:WikiTextHeadingRule:50 -->Septimin</h1>
 Commas: 225/224, 84035/82944<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: 263.632<br />
<br />
Map: [&lt;1 4 1 5|, &lt;0 -11 6 -10|]<br />
Wedgie: &lt;&lt;11 -6 10 -35 -15 40||<br />
EDOs: 9, <a class="wiki_link" href="/32edo">32</a>, 41, 91, <a class="wiki_link" href="/132edo">132</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:52:&lt;h2&gt; --><h2 id="toc26"><a name="Septimin-11-limit"></a><!-- ws:end:WikiTextHeadingRule:52 -->11-limit</h2>
 Commas: 225/224, 385/384, 2401/2376<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: 263.634<br />
<br />
Map: [&lt;1 4 1 5 5|, &lt;0 -11 6 -10 -7|]<br />
EDOs: 9, 32, 41, 91, 223cdef<br />
<br />
<!-- ws:start:WikiTextHeadingRule:54:&lt;h2&gt; --><h2 id="toc27"><a name="Septimin-13-limit"></a><!-- ws:end:WikiTextHeadingRule:54 -->13-limit</h2>
 Commas: 105/104, 144/143, 196/195, 245/242<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: 263.700<br />
<br />
Map: [&lt;1 4 1 5 5 7|, &lt;0 -11 6 -10 -7 -15|]<br />
EDOs: 9, 41, 91<br />
<br />
<!-- ws:start:WikiTextHeadingRule:56:&lt;h1&gt; --><h1 id="toc28"><a name="Slender"></a><!-- ws:end:WikiTextHeadingRule:56 -->Slender</h1>
 Commas: 225/225, 589824/588245<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: ~49/48 = 38.413<br />
<br />
Map: [&lt;1 2 2 3|, &lt;0 -13 10 -6|]<br />
Wedgie: &lt;&lt;13 -10 6 -46 -27 42||<br />
EDOs: 31, 94, 125<br />
Badness: 0.0569<br />
<br />
<!-- ws:start:WikiTextHeadingRule:58:&lt;h2&gt; --><h2 id="toc29"><a name="Slender-11-limit"></a><!-- ws:end:WikiTextHeadingRule:58 -->11-limit</h2>
 Commas: 225/224, 385/384, 1331/1323<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: ~49/48 = 38.387<br />
<br />
Map: [&lt;1 2 2 3 4|, &lt;0 -13 10 -6 -17|]<br />
EDOs: 31, 63, 94, 125<br />
Badness: 25.342<br />
<br />
<!-- ws:start:WikiTextHeadingRule:60:&lt;h2&gt; --><h2 id="toc30"><a name="Slender-13-limit"></a><!-- ws:end:WikiTextHeadingRule:60 -->13-limit</h2>
 Commas: 225/224, 275/273, 385/384, 1331/1323<br />
<br />
POTE generator: ~49/48 = 38.314<br />
<br />
Map: [&lt;1 2 2 3 4 3|, &lt;0 -13 10 -6 -17 22|]<br />
EDOs: 31, 63, 94<br />
Badness: 25.913<br />
<br />
<!-- ws:start:WikiTextHeadingRule:62:&lt;h1&gt; --><h1 id="toc31"><a name="Marvo"></a><!-- ws:end:WikiTextHeadingRule:62 -->Marvo</h1>
 Commas: 225/224, 78125000/78121827<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: ~27/20 = 516.694<br />
<br />
Map: [&lt;1 5 12 29|, &lt;0 -6 -17 -46|]<br />
Wedgie: &lt;&lt;6, 17, 46, 13, 56 59||<br />
EDOs: 65, 72<br />
<br />
<!-- ws:start:WikiTextHeadingRule:64:&lt;h2&gt; --><h2 id="toc32"><a name="Marvo-11-limit"></a><!-- ws:end:WikiTextHeadingRule:64 -->11-limit</h2>
 Commas: 225/224, 243/242, 4000/3993<br />
<br />
<a class="wiki_link" href="/POTE%20tuning">POTE temperament</a>: ~27/20 = 516.699<br />
<br />
Map: [&lt;1 5 12 29 12|, &lt;0 -6 -17 -46 -15|]<br />
EDOs: 65, 72, 281, 497<br />
<br />
<!-- ws:start:WikiTextHeadingRule:66:&lt;h2&gt; --><h2 id="toc33"><a name="Marvo-13-limit"></a><!-- ws:end:WikiTextHeadingRule:66 -->13-limit</h2>
 Commas: 243/242, 225/224, 351/350, 1625/1617<br />
<br />
POTE generator: ~27/20 = 516.730<br />
<br />
Map: [&lt;1 5 12 29 12 39|, &lt;0 -6 -17 -46 -15 -62|]<br />
EDOs: 72, 137, 209, 281f, 490bcf<br />
Badness: 0.0269<br />
<br />
<!-- ws:start:WikiTextHeadingRule:68:&lt;h1&gt; --><h1 id="toc34"><a name="Marvolo"></a><!-- ws:end:WikiTextHeadingRule:68 -->Marvolo</h1>
 Commas: 225/224, 156250000/155649627<br />
<br />
POTE generator: ~21/20 = 83.348<br />
<br />
Map: [&lt;1 2 1 1|, &lt;0 -6 19 26|]<br />
Wedgie: &lt;&lt;6 -19 -26 -44 -58 -7||<br />
EDOs: 29, 43, 72, 619bcd, 691bcd<br />
Badness: 0.0833<br />
<br />
<!-- ws:start:WikiTextHeadingRule:70:&lt;h2&gt; --><h2 id="toc35"><a name="Marvolo-11-limit"></a><!-- ws:end:WikiTextHeadingRule:70 -->11-limit</h2>
 Commas: 225/224, 441/440, 4000/3993<br />
<br />
POTE generator: ~21/20 = 83.340<br />
<br />
Map: [&lt;1 2 1 1 2|, &lt;0 -6 19 26 21|]<br />
EDOs: 29, 43, 72<br />
Badness: 0.0290<br />
<br />
<!-- ws:start:WikiTextHeadingRule:72:&lt;h2&gt; --><h2 id="toc36"><a name="Marvolo-13-limit"></a><!-- ws:end:WikiTextHeadingRule:72 -->13-limit</h2>
 Commas: 169/168, 225/224, 364/363, 441/440<br />
<br />
POTE generator: ~21/20 = 83.330<br />
<br />
Map: [&lt;1 2 1 1 2 3|, &lt;0 -6 19 26 21 10|]<br />
EDOs: 29, 43, 72<br />
Badness: 0.0215<br />
<br />
<!-- ws:start:WikiTextHeadingRule:74:&lt;h1&gt; --><h1 id="toc37"><a name="Amavil"></a><!-- ws:end:WikiTextHeadingRule:74 -->Amavil</h1>
 Commas: 225/224, 17496/16807<br />
<br />
POTE generator: ~48/35 = 529.979<br />
<br />
Map: [&lt;1 6 1 9|, &lt;0 -10 3 -14|]<br />
Wedgie: &lt;&lt;10 -3 14 -28 -6 41||<br />
EDOs: 9, 34d, 43, 77d<br />
Badness: 0.1096<br />
<br />
<!-- ws:start:WikiTextHeadingRule:76:&lt;h2&gt; --><h2 id="toc38"><a name="Amavil-11-limit"></a><!-- ws:end:WikiTextHeadingRule:76 -->11-limit</h2>
 Commas: 99/98, 176/175, 864/847<br />
<br />
POTE generator: ~15/11 = 529.974<br />
<br />
Map: [&lt;1 6 1 9 7|, &lt;0 -10 3 -14 -8|]<br />
EDOs: 9, 34d, 43, 77de<br />
Badness: 0.0426<br />
<br />
<!-- ws:start:WikiTextHeadingRule:78:&lt;h2&gt; --><h2 id="toc39"><a name="Amavil-13-limit"></a><!-- ws:end:WikiTextHeadingRule:78 -->13-limit</h2>
 Commas: 78/77, 99/98, 144/143, 176/175<br />
<br />
POTE generator: ~15/11 = 529.951<br />
<br />
Map: [&lt;1 6 1 9 7 9|, &lt;0 -10 3 -14 -8 -12|]<br />
EDOs: 9, 34d, 43, 77de<br />
Badness: 0.0258<br />
<br />
<!-- ws:start:WikiTextHeadingRule:80:&lt;h1&gt; --><h1 id="toc40"><a name="Enneaportent"></a><!-- ws:end:WikiTextHeadingRule:80 -->Enneaportent</h1>
 Commas: 225/224, 40353607/40310784<br />
<br />
POTE generator: ~5/4 = 383.165<br />
<br />
Map: [&lt;9 0 28 11|, &lt;0 2 -1 2|]<br />
Wedgie: &lt;&lt;18 -9 18 -56 -22 67||<br />
EDOs: 9, 54, 63, 72, 495bcd<br />
Badness: 0.0937<br />
<br />
<!-- ws:start:WikiTextHeadingRule:82:&lt;h2&gt; --><h2 id="toc41"><a name="Enneaportent-11-limit"></a><!-- ws:end:WikiTextHeadingRule:82 -->11-limit</h2>
 Commas: 225/224, 385/384, 12005/11979<br />
<br />
POTE generator: ~5/4 = 383.146<br />
<br />
Map: [&lt;9 0 28 11 24|, &lt;0 2 -1 2 1|]<br />
EDOs: 9, 54, 63, 72, 423cd, 495bcd<br />
Badness: 0.0304<br />
<br />
<!-- ws:start:WikiTextHeadingRule:84:&lt;h2&gt; --><h2 id="toc42"><a name="Enneaportent-13-limit"></a><!-- ws:end:WikiTextHeadingRule:84 -->13-limit</h2>
Commas: 169/168 225/224 364/363 1716/1715<br />
<br />
POTE generator: ~5/4 = 383.047<br />
<br />
Map: [&lt;9 0 28 11 24 19|, &lt;0 2 -1 2 1 2|]<br />
EDOs: 9, 54, 63, 72, 279cf<br />
Badness: 0.0223</body></html>