Marvel temperaments: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 299023760 - Original comment: **
Wikispaces>keenanpepper
**Imported revision 299074674 - 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>2012-02-06 15:41:39 UTC</tt>.<br>
: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2012-02-06 18:09:07 UTC</tt>.<br>
: The original revision id was <tt>299023760</tt>.<br>
: The original revision id was <tt>299074674</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>
<h4>Original Wikitext content:</h4>
<h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">[[toc|flat]]
<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;white-space: pre-wrap ! important" class="old-revision-html">[[toc|flat]]


This page discusses some of the temperaments tempering out |-5 2 2 -1&gt; =[[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.
This page discusses some of the temperaments tempering out |-5 2 2 -1&gt; =[[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.
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Map: [&lt;2 1 5 2|, &lt;0 6 -1 10|]
Map: [&lt;2 1 5 2|, &lt;0 6 -1 10|]
Wedgie: &lt;&lt;12 -2 20 -31 -2 52||
Wedgie: &lt;&lt;12 -2 20 -31 -2 52||
EDOs: [[22edo|22]], [[50edo|50]], [[72edo|72]], [[94edo|94]], [[166edo|166]], [[238edo|238c]], [[269edo|269c]], [[310edo|310c]], [[382edo|382c]], [[454edo|454bcd]]
EDOs: [[22edo|22]], [[50edo|50]], [[72edo|72]], [[94edo|94]], [[166edo|166]], [[238edo|238c]], [[310edo|310c]], [[382edo|382c]]
Badness: 0.0408
Badness: 0.0408


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Map: [&lt;2 1 5 2 8|, &lt;0 6 -1 10 -3|]
Map: [&lt;2 1 5 2 8|, &lt;0 6 -1 10 -3|]
EDOs: 22, 31, 41, 50, 72, [[166edo|166]], [[238edo|238c]], [[310edo|310c]]
EDOs: 22, 50, 72, 94, [[166edo|166]], [[238edo|238c]], [[310edo|310c]]
Badness: 0.0185
Badness: 0.0185


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Map: [&lt;2 1 5 2 8 11|, &lt;0 6 -1 10 -3 -10|]
Map: [&lt;2 1 5 2 8 11|, &lt;0 6 -1 10 -3 -10|]
EDOs: 22, 31, 41f, 46, 50, 62, 65f, 72
EDOs: 22, 50, 72, 122, 194df
Badness: 0.0218
Badness: 0.0218


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Map: [&lt;2 1 5 2 8 11 6|, &lt;0 6 -1 10 -3 -10 6|]
Map: [&lt;2 1 5 2 8 11 6|, &lt;0 6 -1 10 -3 -10 6|]
EDOs: 22, 26, 31, 41fg, 46, 50, 62, 72
EDOs: 22, 50, 72, 122g, 194dfg
Badness: 0.0145
Badness: 0.0145


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Map: [&lt;2 1 5 2 8 11 6 2|, &lt;0 6 -1 10 -3 -10 6 18|]
Map: [&lt;2 1 5 2 8 11 6 2|, &lt;0 6 -1 10 -3 -10 6 18|]
EDOs: 22, 24, 26, 31, 41g, 50, 65fg, 72, [[122edo|122g]], [[194edo|194dfg]], [[266edo|266bcdfg]]
EDOs: 22h, 50, 72, [[122edo|122g]], [[194edo|194dfg]]
Badness: 0.0157
Badness: 0.0157


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Map: [&lt;2 1 5 2 8 -2|, &lt;0 6 -1 10 -3 26|]
Map: [&lt;2 1 5 2 8 -2|, &lt;0 6 -1 10 -3 26|]
EDOs: [[22edo|22]], [[26edo|26]], [[31edo|31]], [[41edo|41]], [[53edo|53]], [[72edo|72]], [[94edo|94]], [[113edo|113]], [[125edo|125f]], [[166edo|166]], [[238edo|238cf]], [[404edo|404cef]]
EDOs: [[22edo|22]], [[26edo|72]], [[94edo|94]], [[166edo|166]], [[238edo|238cf]]
Badness: 0.0203
Badness: 0.0203


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Map: [&lt;2 1 5 2 8 -2 6|, &lt;0 6 -1 10 -3 26 6|]
Map: [&lt;2 1 5 2 8 -2 6|, &lt;0 6 -1 10 -3 26 6|]
EDOs: 22, 26, 31, 41g, 46, 53g, 63g, 72, 94, [[135edo|135fg]], [[166edo|166g]], [[238edo|238cfg]], [[404edo|404cefg]]
EDOs: 22f, 72, 94, [[166edo|166g]], [[238edo|238cfg]]
Badness: 0.0136
Badness: 0.0136


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Map: [&lt;2 1 5 2 8 -2 6 15|, &lt;0 6 -1 10 -3 26 6 -18|]
Map: [&lt;2 1 5 2 8 -2 6 15|, &lt;0 6 -1 10 -3 26 6 -18|]
EDOs: 22, 26, 31, 41g, 46, 53g, 72, 94, 166g
EDOs: 22f, 72, 94, 166g
Badness: 0.0148
Badness: 0.0148


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


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Badness: 0.0237
Badness: 0.0237


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


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Badness: 0.0455
Badness: 0.0455


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


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EDOs: 65, 72, 281, 497
EDOs: 65, 72, 281, 497


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


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Badness: 0.0269
Badness: 0.0269


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


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Badness: 0.0833
Badness: 0.0833


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


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Badness: 0.0290
Badness: 0.0290


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


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Badness: 0.0215
Badness: 0.0215


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


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Badness: 0.1096
Badness: 0.1096


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


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Badness: 0.0426
Badness: 0.0426


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


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Badness: 0.0258
Badness: 0.0258


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


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Badness: 0.0937
Badness: 0.0937


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


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Map: [&lt;9 0 28 11 24|, &lt;0 2 -1 2 1|]
Map: [&lt;9 0 28 11 24|, &lt;0 2 -1 2 1|]
EDOs: 9, 54, 63, 72, 423cd, 495bcd
EDOs: 9, 54, 63, 72, 423cd, 495bcd
Badness: 0.0304
Badness: 0.0304</pre></div>
</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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Marvel temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:78:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:78 --&gt;&lt;!-- ws:start:WikiTextTocRule:79: --&gt;&lt;a href="#Negri"&gt;Negri&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:79 --&gt;&lt;!-- ws:start:WikiTextTocRule:80: --&gt;&lt;!-- ws:end:WikiTextTocRule:80 --&gt;&lt;!-- ws:start:WikiTextTocRule:81: --&gt;&lt;!-- ws:end:WikiTextTocRule:81 --&gt;&lt;!-- ws:start:WikiTextTocRule:82: --&gt; | &lt;a href="#Negril"&gt;Negril&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:82 --&gt;&lt;!-- ws:start:WikiTextTocRule:83: --&gt;&lt;!-- ws:end:WikiTextTocRule:83 --&gt;&lt;!-- ws:start:WikiTextTocRule:84: --&gt; | &lt;a href="#Negric"&gt;Negric&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:84 --&gt;&lt;!-- ws:start:WikiTextTocRule:85: --&gt;&lt;!-- ws:end:WikiTextTocRule:85 --&gt;&lt;!-- ws:start:WikiTextTocRule:86: --&gt; | &lt;a href="#Wizard"&gt;Wizard&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:86 --&gt;&lt;!-- ws:start:WikiTextTocRule:87: --&gt;&lt;!-- ws:end:WikiTextTocRule:87 --&gt;&lt;!-- ws:start:WikiTextTocRule:88: --&gt;&lt;!-- ws:end:WikiTextTocRule:88 --&gt;&lt;!-- ws:start:WikiTextTocRule:89: --&gt;&lt;!-- ws:end:WikiTextTocRule:89 --&gt;&lt;!-- ws:start:WikiTextTocRule:90: --&gt;&lt;!-- ws:end:WikiTextTocRule:90 --&gt;&lt;!-- ws:start:WikiTextTocRule:91: --&gt;&lt;!-- ws:end:WikiTextTocRule:91 --&gt;&lt;!-- ws:start:WikiTextTocRule:92: --&gt;&lt;!-- ws:end:WikiTextTocRule:92 --&gt;&lt;!-- ws:start:WikiTextTocRule:93: --&gt;&lt;!-- ws:end:WikiTextTocRule:93 --&gt;&lt;!-- ws:start:WikiTextTocRule:94: --&gt;&lt;!-- ws:end:WikiTextTocRule:94 --&gt;&lt;!-- ws:start:WikiTextTocRule:95: --&gt; | &lt;a href="#Triton"&gt;Triton&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:95 --&gt;&lt;!-- ws:start:WikiTextTocRule:96: --&gt; | &lt;a href="#Tritonic"&gt;Tritonic&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:96 --&gt;&lt;!-- ws:start:WikiTextTocRule:97: --&gt;&lt;!-- ws:end:WikiTextTocRule:97 --&gt;&lt;!-- ws:start:WikiTextTocRule:98: --&gt;&lt;!-- ws:end:WikiTextTocRule:98 --&gt;&lt;!-- ws:start:WikiTextTocRule:99: --&gt;&lt;!-- ws:end:WikiTextTocRule:99 --&gt;&lt;!-- ws:start:WikiTextTocRule:100: --&gt; | &lt;a href="#Merman"&gt;Merman&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:100 --&gt;&lt;!-- ws:start:WikiTextTocRule:101: --&gt; | &lt;a href="#Septimin"&gt;Septimin&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:101 --&gt;&lt;!-- ws:start:WikiTextTocRule:102: --&gt;&lt;!-- ws:end:WikiTextTocRule:102 --&gt;&lt;!-- ws:start:WikiTextTocRule:103: --&gt;&lt;!-- ws:end:WikiTextTocRule:103 --&gt;&lt;!-- ws:start:WikiTextTocRule:104: --&gt; | &lt;a href="#Slender"&gt;Slender&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:104 --&gt;&lt;!-- ws:start:WikiTextTocRule:105: --&gt;&lt;!-- ws:end:WikiTextTocRule:105 --&gt;&lt;!-- ws:start:WikiTextTocRule:106: --&gt;&lt;!-- ws:end:WikiTextTocRule:106 --&gt;&lt;!-- ws:start:WikiTextTocRule:107: --&gt; | &lt;a href="#Marvo"&gt;Marvo&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:107 --&gt;&lt;!-- ws:start:WikiTextTocRule:108: --&gt;&lt;!-- ws:end:WikiTextTocRule:108 --&gt;&lt;!-- ws:start:WikiTextTocRule:109: --&gt;&lt;!-- ws:end:WikiTextTocRule:109 --&gt;&lt;!-- ws:start:WikiTextTocRule:110: --&gt; | &lt;a href="#Marvolo"&gt;Marvolo&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:110 --&gt;&lt;!-- ws:start:WikiTextTocRule:111: --&gt;&lt;!-- ws:end:WikiTextTocRule:111 --&gt;&lt;!-- ws:start:WikiTextTocRule:112: --&gt;&lt;!-- ws:end:WikiTextTocRule:112 --&gt;&lt;!-- ws:start:WikiTextTocRule:113: --&gt; | &lt;a href="#Amavil"&gt;Amavil&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:113 --&gt;&lt;!-- ws:start:WikiTextTocRule:114: --&gt;&lt;!-- ws:end:WikiTextTocRule:114 --&gt;&lt;!-- ws:start:WikiTextTocRule:115: --&gt;&lt;!-- ws:end:WikiTextTocRule:115 --&gt;&lt;!-- ws:start:WikiTextTocRule:116: --&gt; | &lt;a href="#Enneaportent"&gt;Enneaportent&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:116 --&gt;&lt;!-- ws:start:WikiTextTocRule:117: --&gt;&lt;!-- ws:end:WikiTextTocRule:117 --&gt;&lt;!-- ws:start:WikiTextTocRule:118: --&gt;
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;Marvel temperaments&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:78:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:78 --&gt;&lt;!-- ws:start:WikiTextTocRule:79: --&gt;&lt;a href="#Negri"&gt;Negri&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:79 --&gt;&lt;!-- ws:start:WikiTextTocRule:80: --&gt;&lt;!-- ws:end:WikiTextTocRule:80 --&gt;&lt;!-- ws:start:WikiTextTocRule:81: --&gt;&lt;!-- ws:end:WikiTextTocRule:81 --&gt;&lt;!-- ws:start:WikiTextTocRule:82: --&gt; | &lt;a href="#Negril"&gt;Negril&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:82 --&gt;&lt;!-- ws:start:WikiTextTocRule:83: --&gt;&lt;!-- ws:end:WikiTextTocRule:83 --&gt;&lt;!-- ws:start:WikiTextTocRule:84: --&gt; | &lt;a href="#Negric"&gt;Negric&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:84 --&gt;&lt;!-- ws:start:WikiTextTocRule:85: --&gt;&lt;!-- ws:end:WikiTextTocRule:85 --&gt;&lt;!-- ws:start:WikiTextTocRule:86: --&gt; | &lt;a href="#Wizard"&gt;Wizard&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:86 --&gt;&lt;!-- ws:start:WikiTextTocRule:87: --&gt;&lt;!-- ws:end:WikiTextTocRule:87 --&gt;&lt;!-- ws:start:WikiTextTocRule:88: --&gt;&lt;!-- ws:end:WikiTextTocRule:88 --&gt;&lt;!-- ws:start:WikiTextTocRule:89: --&gt;&lt;!-- ws:end:WikiTextTocRule:89 --&gt;&lt;!-- ws:start:WikiTextTocRule:90: --&gt;&lt;!-- ws:end:WikiTextTocRule:90 --&gt;&lt;!-- ws:start:WikiTextTocRule:91: --&gt;&lt;!-- ws:end:WikiTextTocRule:91 --&gt;&lt;!-- ws:start:WikiTextTocRule:92: --&gt;&lt;!-- ws:end:WikiTextTocRule:92 --&gt;&lt;!-- ws:start:WikiTextTocRule:93: --&gt;&lt;!-- ws:end:WikiTextTocRule:93 --&gt;&lt;!-- ws:start:WikiTextTocRule:94: --&gt;&lt;!-- ws:end:WikiTextTocRule:94 --&gt;&lt;!-- ws:start:WikiTextTocRule:95: --&gt; | &lt;a href="#Triton"&gt;Triton&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:95 --&gt;&lt;!-- ws:start:WikiTextTocRule:96: --&gt; | &lt;a href="#Tritonic"&gt;Tritonic&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:96 --&gt;&lt;!-- ws:start:WikiTextTocRule:97: --&gt;&lt;!-- ws:end:WikiTextTocRule:97 --&gt;&lt;!-- ws:start:WikiTextTocRule:98: --&gt;&lt;!-- ws:end:WikiTextTocRule:98 --&gt;&lt;!-- ws:start:WikiTextTocRule:99: --&gt;&lt;!-- ws:end:WikiTextTocRule:99 --&gt;&lt;!-- ws:start:WikiTextTocRule:100: --&gt; | &lt;a href="#Merman"&gt;Merman&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:100 --&gt;&lt;!-- ws:start:WikiTextTocRule:101: --&gt; | &lt;a href="#Septimin"&gt;Septimin&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:101 --&gt;&lt;!-- ws:start:WikiTextTocRule:102: --&gt;&lt;!-- ws:end:WikiTextTocRule:102 --&gt;&lt;!-- ws:start:WikiTextTocRule:103: --&gt;&lt;!-- ws:end:WikiTextTocRule:103 --&gt;&lt;!-- ws:start:WikiTextTocRule:104: --&gt; | &lt;a href="#Slender"&gt;Slender&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:104 --&gt;&lt;!-- ws:start:WikiTextTocRule:105: --&gt;&lt;!-- ws:end:WikiTextTocRule:105 --&gt;&lt;!-- ws:start:WikiTextTocRule:106: --&gt;&lt;!-- ws:end:WikiTextTocRule:106 --&gt;&lt;!-- ws:start:WikiTextTocRule:107: --&gt; | &lt;a href="#Marvo"&gt;Marvo&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:107 --&gt;&lt;!-- ws:start:WikiTextTocRule:108: --&gt;&lt;!-- ws:end:WikiTextTocRule:108 --&gt;&lt;!-- ws:start:WikiTextTocRule:109: --&gt;&lt;!-- ws:end:WikiTextTocRule:109 --&gt;&lt;!-- ws:start:WikiTextTocRule:110: --&gt; | &lt;a href="#Marvolo"&gt;Marvolo&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:110 --&gt;&lt;!-- ws:start:WikiTextTocRule:111: --&gt;&lt;!-- ws:end:WikiTextTocRule:111 --&gt;&lt;!-- ws:start:WikiTextTocRule:112: --&gt;&lt;!-- ws:end:WikiTextTocRule:112 --&gt;&lt;!-- ws:start:WikiTextTocRule:113: --&gt; | &lt;a href="#Amavil"&gt;Amavil&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:113 --&gt;&lt;!-- ws:start:WikiTextTocRule:114: --&gt;&lt;!-- ws:end:WikiTextTocRule:114 --&gt;&lt;!-- ws:start:WikiTextTocRule:115: --&gt;&lt;!-- ws:end:WikiTextTocRule:115 --&gt;&lt;!-- ws:start:WikiTextTocRule:116: --&gt; | &lt;a href="#Enneaportent"&gt;Enneaportent&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:116 --&gt;&lt;!-- ws:start:WikiTextTocRule:117: --&gt;&lt;!-- ws:end:WikiTextTocRule:117 --&gt;&lt;!-- ws:start:WikiTextTocRule:118: --&gt;
&lt;!-- ws:end:WikiTextTocRule:118 --&gt;&lt;br /&gt;
&lt;!-- ws:end:WikiTextTocRule:118 --&gt;&lt;br /&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;
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Map: [&amp;lt;2 1 5 2|, &amp;lt;0 6 -1 10|]&lt;br /&gt;
Map: [&amp;lt;2 1 5 2|, &amp;lt;0 6 -1 10|]&lt;br /&gt;
Wedgie: &amp;lt;&amp;lt;12 -2 20 -31 -2 52||&lt;br /&gt;
Wedgie: &amp;lt;&amp;lt;12 -2 20 -31 -2 52||&lt;br /&gt;
EDOs: &lt;a class="wiki_link" href="/22edo"&gt;22&lt;/a&gt;, &lt;a class="wiki_link" href="/50edo"&gt;50&lt;/a&gt;, &lt;a class="wiki_link" href="/72edo"&gt;72&lt;/a&gt;, &lt;a class="wiki_link" href="/94edo"&gt;94&lt;/a&gt;, &lt;a class="wiki_link" href="/166edo"&gt;166&lt;/a&gt;, &lt;a class="wiki_link" href="/238edo"&gt;238c&lt;/a&gt;, &lt;a class="wiki_link" href="/269edo"&gt;269c&lt;/a&gt;, &lt;a class="wiki_link" href="/310edo"&gt;310c&lt;/a&gt;, &lt;a class="wiki_link" href="/382edo"&gt;382c&lt;/a&gt;, &lt;a class="wiki_link" href="/454edo"&gt;454bcd&lt;/a&gt;&lt;br /&gt;
EDOs: &lt;a class="wiki_link" href="/22edo"&gt;22&lt;/a&gt;, &lt;a class="wiki_link" href="/50edo"&gt;50&lt;/a&gt;, &lt;a class="wiki_link" href="/72edo"&gt;72&lt;/a&gt;, &lt;a class="wiki_link" href="/94edo"&gt;94&lt;/a&gt;, &lt;a class="wiki_link" href="/166edo"&gt;166&lt;/a&gt;, &lt;a class="wiki_link" href="/238edo"&gt;238c&lt;/a&gt;, &lt;a class="wiki_link" href="/310edo"&gt;310c&lt;/a&gt;, &lt;a class="wiki_link" href="/382edo"&gt;382c&lt;/a&gt;&lt;br /&gt;
Badness: 0.0408&lt;br /&gt;
Badness: 0.0408&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 452: Line 449:
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 1 5 2 8|, &amp;lt;0 6 -1 10 -3|]&lt;br /&gt;
Map: [&amp;lt;2 1 5 2 8|, &amp;lt;0 6 -1 10 -3|]&lt;br /&gt;
EDOs: 22, 31, 41, 50, 72, &lt;a class="wiki_link" href="/166edo"&gt;166&lt;/a&gt;, &lt;a class="wiki_link" href="/238edo"&gt;238c&lt;/a&gt;, &lt;a class="wiki_link" href="/310edo"&gt;310c&lt;/a&gt;&lt;br /&gt;
EDOs: 22, 50, 72, 94, &lt;a class="wiki_link" href="/166edo"&gt;166&lt;/a&gt;, &lt;a class="wiki_link" href="/238edo"&gt;238c&lt;/a&gt;, &lt;a class="wiki_link" href="/310edo"&gt;310c&lt;/a&gt;&lt;br /&gt;
Badness: 0.0185&lt;br /&gt;
Badness: 0.0185&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 461: Line 458:
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 1 5 2 8 11|, &amp;lt;0 6 -1 10 -3 -10|]&lt;br /&gt;
Map: [&amp;lt;2 1 5 2 8 11|, &amp;lt;0 6 -1 10 -3 -10|]&lt;br /&gt;
EDOs: 22, 31, 41f, 46, 50, 62, 65f, 72&lt;br /&gt;
EDOs: 22, 50, 72, 122, 194df&lt;br /&gt;
Badness: 0.0218&lt;br /&gt;
Badness: 0.0218&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 470: Line 467:
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 1 5 2 8 11 6|, &amp;lt;0 6 -1 10 -3 -10 6|]&lt;br /&gt;
Map: [&amp;lt;2 1 5 2 8 11 6|, &amp;lt;0 6 -1 10 -3 -10 6|]&lt;br /&gt;
EDOs: 22, 26, 31, 41fg, 46, 50, 62, 72&lt;br /&gt;
EDOs: 22, 50, 72, 122g, 194dfg&lt;br /&gt;
Badness: 0.0145&lt;br /&gt;
Badness: 0.0145&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 479: Line 476:
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 1 5 2 8 11 6 2|, &amp;lt;0 6 -1 10 -3 -10 6 18|]&lt;br /&gt;
Map: [&amp;lt;2 1 5 2 8 11 6 2|, &amp;lt;0 6 -1 10 -3 -10 6 18|]&lt;br /&gt;
EDOs: 22, 24, 26, 31, 41g, 50, 65fg, 72, &lt;a class="wiki_link" href="/122edo"&gt;122g&lt;/a&gt;, &lt;a class="wiki_link" href="/194edo"&gt;194dfg&lt;/a&gt;, &lt;a class="wiki_link" href="/266edo"&gt;266bcdfg&lt;/a&gt;&lt;br /&gt;
EDOs: 22h, 50, 72, &lt;a class="wiki_link" href="/122edo"&gt;122g&lt;/a&gt;, &lt;a class="wiki_link" href="/194edo"&gt;194dfg&lt;/a&gt;&lt;br /&gt;
Badness: 0.0157&lt;br /&gt;
Badness: 0.0157&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 488: Line 485:
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 1 5 2 8 -2|, &amp;lt;0 6 -1 10 -3 26|]&lt;br /&gt;
Map: [&amp;lt;2 1 5 2 8 -2|, &amp;lt;0 6 -1 10 -3 26|]&lt;br /&gt;
EDOs: &lt;a class="wiki_link" href="/22edo"&gt;22&lt;/a&gt;, &lt;a class="wiki_link" href="/26edo"&gt;26&lt;/a&gt;, &lt;a class="wiki_link" href="/31edo"&gt;31&lt;/a&gt;, &lt;a class="wiki_link" href="/41edo"&gt;41&lt;/a&gt;, &lt;a class="wiki_link" href="/53edo"&gt;53&lt;/a&gt;, &lt;a class="wiki_link" href="/72edo"&gt;72&lt;/a&gt;, &lt;a class="wiki_link" href="/94edo"&gt;94&lt;/a&gt;, &lt;a class="wiki_link" href="/113edo"&gt;113&lt;/a&gt;, &lt;a class="wiki_link" href="/125edo"&gt;125f&lt;/a&gt;, &lt;a class="wiki_link" href="/166edo"&gt;166&lt;/a&gt;, &lt;a class="wiki_link" href="/238edo"&gt;238cf&lt;/a&gt;, &lt;a class="wiki_link" href="/404edo"&gt;404cef&lt;/a&gt;&lt;br /&gt;
EDOs: &lt;a class="wiki_link" href="/22edo"&gt;22&lt;/a&gt;, &lt;a class="wiki_link" href="/26edo"&gt;72&lt;/a&gt;, &lt;a class="wiki_link" href="/94edo"&gt;94&lt;/a&gt;, &lt;a class="wiki_link" href="/166edo"&gt;166&lt;/a&gt;, &lt;a class="wiki_link" href="/238edo"&gt;238cf&lt;/a&gt;&lt;br /&gt;
Badness: 0.0203&lt;br /&gt;
Badness: 0.0203&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 497: Line 494:
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 1 5 2 8 -2 6|, &amp;lt;0 6 -1 10 -3 26 6|]&lt;br /&gt;
Map: [&amp;lt;2 1 5 2 8 -2 6|, &amp;lt;0 6 -1 10 -3 26 6|]&lt;br /&gt;
EDOs: 22, 26, 31, 41g, 46, 53g, 63g, 72, 94, &lt;a class="wiki_link" href="/135edo"&gt;135fg&lt;/a&gt;, &lt;a class="wiki_link" href="/166edo"&gt;166g&lt;/a&gt;, &lt;a class="wiki_link" href="/238edo"&gt;238cfg&lt;/a&gt;, &lt;a class="wiki_link" href="/404edo"&gt;404cefg&lt;/a&gt;&lt;br /&gt;
EDOs: 22f, 72, 94, &lt;a class="wiki_link" href="/166edo"&gt;166g&lt;/a&gt;, &lt;a class="wiki_link" href="/238edo"&gt;238cfg&lt;/a&gt;&lt;br /&gt;
Badness: 0.0136&lt;br /&gt;
Badness: 0.0136&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Line 506: Line 503:
&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 1 5 2 8 -2 6 15|, &amp;lt;0 6 -1 10 -3 26 6 -18|]&lt;br /&gt;
Map: [&amp;lt;2 1 5 2 8 -2 6 15|, &amp;lt;0 6 -1 10 -3 26 6 -18|]&lt;br /&gt;
EDOs: 22, 26, 31, 41g, 46, 53g, 72, 94, 166g&lt;br /&gt;
EDOs: 22f, 72, 94, 166g&lt;br /&gt;
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: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;
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;
POTE generator: ~55/48 = 216.876&lt;br /&gt;
POTE generator: ~55/48 = 216.876&lt;br /&gt;
Line 546: Line 543:
&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: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;
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;
POTE generator: ~7/5 = 580.108&lt;br /&gt;
POTE generator: ~7/5 = 580.108&lt;br /&gt;
Line 564: Line 561:
&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: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;
Commas: 225/224, 2500000/2470629&lt;br /&gt;
Commas: 225/224, 2500000/2470629&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~7/5 = 585.585&lt;br /&gt;
POTE generator: ~7/5 = 585.585&lt;br /&gt;
Line 644: Line 641:
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:60:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc30"&gt;&lt;a name="Marvo-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:60 --&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="Marvo-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:60 --&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;
POTE generator: ~27/20 = 516.730&lt;br /&gt;
POTE generator: ~27/20 = 516.730&lt;br /&gt;
Line 653: Line 650:
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:62:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc31"&gt;&lt;a name="Marvolo"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:62 --&gt;Marvolo&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:62:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc31"&gt;&lt;a name="Marvolo"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:62 --&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;
POTE generator: ~21/20 = 83.348&lt;br /&gt;
POTE generator: ~21/20 = 83.348&lt;br /&gt;
Line 663: Line 660:
&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="Marvolo-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:64 --&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="Marvolo-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:64 --&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;
POTE generator: ~21/20 = 83.340&lt;br /&gt;
POTE generator: ~21/20 = 83.340&lt;br /&gt;
Line 672: Line 669:
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:66:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc33"&gt;&lt;a name="Marvolo-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:66 --&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="Marvolo-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:66 --&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;
POTE generator: ~21/20 = 83.330&lt;br /&gt;
POTE generator: ~21/20 = 83.330&lt;br /&gt;
Line 681: Line 678:
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:68:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc34"&gt;&lt;a name="Amavil"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:68 --&gt;Amavil&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:68:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc34"&gt;&lt;a name="Amavil"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:68 --&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;
POTE generator: ~48/35 = 529.979&lt;br /&gt;
POTE generator: ~48/35 = 529.979&lt;br /&gt;
Line 691: Line 688:
&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="Amavil-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:70 --&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="Amavil-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:70 --&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;
POTE generator: ~15/11 = 529.974&lt;br /&gt;
POTE generator: ~15/11 = 529.974&lt;br /&gt;
Line 700: Line 697:
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:72:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc36"&gt;&lt;a name="Amavil-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:72 --&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="Amavil-13-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:72 --&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;
POTE generator: ~15/11 = 529.951&lt;br /&gt;
POTE generator: ~15/11 = 529.951&lt;br /&gt;
Line 709: Line 706:
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:74:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc37"&gt;&lt;a name="Enneaportent"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:74 --&gt;Enneaportent&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:74:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc37"&gt;&lt;a name="Enneaportent"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:74 --&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;
POTE generator: ~5/4 = 383.165&lt;br /&gt;
POTE generator: ~5/4 = 383.165&lt;br /&gt;
Line 719: Line 716:
&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="Enneaportent-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:76 --&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="Enneaportent-11-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:76 --&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;
POTE generator: ~5/4 = 383.146&lt;br /&gt;
POTE generator: ~5/4 = 383.146&lt;br /&gt;