Ragismic microtemperaments: Difference between revisions
Wikispaces>genewardsmith **Imported revision 289351365 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 289363641 - 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>2012-01-03 | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-01-03 16:45:22 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>289363641</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt></tt><br> | ||
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
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Map: [<1 3 6 -2|, <0 -5 -13 17|] | Map: [<1 3 6 -2|, <0 -5 -13 17|] | ||
Wedgie: <<5 13 -17 9 -41 -76|| | |||
EDOs: 7, 39, 46, 53, 99, 251, 350 | EDOs: 7, 39, 46, 53, 99, 251, 350 | ||
Badness: 0.0236 | Badness: 0.0236 | ||
==11-limit== | |||
Commas: 540/539, 4375/4374, 5120/5103 | |||
POTE generator: ~243/200 = 339.464 | |||
Map: [<1 3 6 -2 21|, <0 -5 -13 17 -62|] | |||
EDOs: 53, 99e, 152, 555de, 707de, 859bde | |||
Badness: 0.0315 | |||
==Hitchcock== | ==Hitchcock== | ||
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Badness: 0.0152</pre></div> | Badness: 0.0152</pre></div> | ||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Ragismic microtemperaments</title></head><body><!-- ws:start:WikiTextTocRule: | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Ragismic microtemperaments</title></head><body><!-- ws:start:WikiTextTocRule:88:&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:88 --><!-- ws:start:WikiTextTocRule:89: --><div style="margin-left: 1em;"><a href="#Ennealimmal">Ennealimmal</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:89 --><!-- ws:start:WikiTextTocRule:90: --><div style="margin-left: 2em;"><a href="#Ennealimmal-11 limit hemiennealimmal">11 limit hemiennealimmal</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:90 --><!-- ws:start:WikiTextTocRule:91: --><div style="margin-left: 2em;"><a href="#Ennealimmal-13 limit hemiennealimmal">13 limit hemiennealimmal</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:91 --><!-- ws:start:WikiTextTocRule:92: --><div style="margin-left: 2em;"><a href="#Ennealimmal-Semiennealimmal">Semiennealimmal</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:92 --><!-- ws:start:WikiTextTocRule:93: --><div style="margin-left: 3em;"><a href="#Ennealimmal-Semiennealimmal-13 limit semiennealimmal">13 limit semiennealimmal</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:93 --><!-- ws:start:WikiTextTocRule:94: --><div style="margin-left: 2em;"><a href="#Ennealimmal-Ennealimmic">Ennealimmic</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:94 --><!-- ws:start:WikiTextTocRule:95: --><div style="margin-left: 3em;"><a href="#Ennealimmal-Ennealimmic-13 limit ennealimmic">13 limit ennealimmic</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:95 --><!-- ws:start:WikiTextTocRule:96: --><div style="margin-left: 4em;"><a href="#Ennealimmal-Ennealimmic-13 limit ennealimmic-17 limit ennealimmic">17 limit ennealimmic</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:96 --><!-- ws:start:WikiTextTocRule:97: --><div style="margin-left: 3em;"><a href="#Ennealimmal-Ennealimmic-Ennealimnic">Ennealimnic</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:97 --><!-- ws:start:WikiTextTocRule:98: --><div style="margin-left: 2em;"><a href="#Ennealimmal-Ennealiminal">Ennealiminal</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:98 --><!-- ws:start:WikiTextTocRule:99: --><div style="margin-left: 2em;"><a href="#Ennealimmal-Semihemiennealimmal">Semihemiennealimmal</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:99 --><!-- ws:start:WikiTextTocRule:100: --><div style="margin-left: 1em;"><a href="#Gamera">Gamera</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:100 --><!-- ws:start:WikiTextTocRule:101: --><div style="margin-left: 1em;"><a href="#Supermajor">Supermajor</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:101 --><!-- ws:start:WikiTextTocRule:102: --><div style="margin-left: 1em;"><a href="#Enneadecal">Enneadecal</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:102 --><!-- ws:start:WikiTextTocRule:103: --><div style="margin-left: 1em;"><a href="#Deca">Deca</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:103 --><!-- ws:start:WikiTextTocRule:104: --><div style="margin-left: 2em;"><a href="#Deca-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:104 --><!-- ws:start:WikiTextTocRule:105: --><div style="margin-left: 2em;"><a href="#Deca-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:105 --><!-- ws:start:WikiTextTocRule:106: --><div style="margin-left: 1em;"><a href="#Mitonic">Mitonic</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:106 --><!-- ws:start:WikiTextTocRule:107: --><div style="margin-left: 1em;"><a href="#Abigail">Abigail</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:107 --><!-- ws:start:WikiTextTocRule:108: --><div style="margin-left: 2em;"><a href="#Abigail-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:108 --><!-- ws:start:WikiTextTocRule:109: --><div style="margin-left: 2em;"><a href="#Abigail-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:109 --><!-- ws:start:WikiTextTocRule:110: --><div style="margin-left: 1em;"><a href="#Nearly Micro">Nearly Micro</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:110 --><!-- ws:start:WikiTextTocRule:111: --><div style="margin-left: 1em;"><a href="#Octoid">Octoid</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:111 --><!-- ws:start:WikiTextTocRule:112: --><div style="margin-left: 2em;"><a href="#Octoid-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:112 --><!-- ws:start:WikiTextTocRule:113: --><div style="margin-left: 2em;"><a href="#Octoid-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:113 --><!-- ws:start:WikiTextTocRule:114: --><div style="margin-left: 2em;"><a href="#Octoid-Music">Music</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:114 --><!-- ws:start:WikiTextTocRule:115: --><div style="margin-left: 1em;"><a href="#Amity">Amity</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:115 --><!-- ws:start:WikiTextTocRule:116: --><div style="margin-left: 2em;"><a href="#Amity-5-limit">5-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:116 --><!-- ws:start:WikiTextTocRule:117: --><div style="margin-left: 2em;"><a href="#Amity-7-limit">7-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:117 --><!-- ws:start:WikiTextTocRule:118: --><div style="margin-left: 2em;"><a href="#Amity-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:118 --><!-- ws:start:WikiTextTocRule:119: --><div style="margin-left: 2em;"><a href="#Amity-Hitchcock">Hitchcock</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:119 --><!-- ws:start:WikiTextTocRule:120: --><div style="margin-left: 2em;"><a href="#Amity-Hemiamity">Hemiamity</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:120 --><!-- ws:start:WikiTextTocRule:121: --><div style="margin-left: 1em;"><a href="#Parakleismic">Parakleismic</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:121 --><!-- ws:start:WikiTextTocRule:122: --><div style="margin-left: 2em;"><a href="#Parakleismic-7-limit">7-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:122 --><!-- ws:start:WikiTextTocRule:123: --><div style="margin-left: 2em;"><a href="#Parakleismic-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:123 --><!-- ws:start:WikiTextTocRule:124: --><div style="margin-left: 2em;"><a href="#Parakleismic-Parkleismic">Parkleismic</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:124 --><!-- ws:start:WikiTextTocRule:125: --><div style="margin-left: 3em;"><a href="#Parakleismic-Parkleismic-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:125 --><!-- ws:start:WikiTextTocRule:126: --><div style="margin-left: 2em;"><a href="#Parakleismic-Paradigmic">Paradigmic</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:126 --><!-- ws:start:WikiTextTocRule:127: --><div style="margin-left: 3em;"><a href="#Parakleismic-Paradigmic-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:127 --><!-- ws:start:WikiTextTocRule:128: --><div style="margin-left: 1em;"><a href="#Quincy">Quincy</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:128 --><!-- ws:start:WikiTextTocRule:129: --><div style="margin-left: 2em;"><a href="#Quincy-11-limit">11-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:129 --><!-- ws:start:WikiTextTocRule:130: --><div style="margin-left: 2em;"><a href="#Quincy-13-limit">13-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:130 --><!-- ws:start:WikiTextTocRule:131: --><div style="margin-left: 2em;"><a href="#Quincy-17-limit">17-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:131 --><!-- ws:start:WikiTextTocRule:132: --><div style="margin-left: 2em;"><a href="#Quincy-19-limit">19-limit</a></div> | ||
<!-- ws:end:WikiTextTocRule: | <!-- ws:end:WikiTextTocRule:132 --><!-- ws:start:WikiTextTocRule:133: --></div> | ||
<!-- ws:end:WikiTextTocRule:133 -->The ragisma is 4375/4374 with a monzo of |-1 -7 4 1&gt;, the smallest 7-limit superparticular ratio. Since (10/9)^4 4375/4374 * 32/21, the minor tone 10/9 tends to be an interval of relatively low complexity in temperaments tempering out the ragisma, though when looking at microtemperaments the word &quot;relatively&quot; should be emphasized. Even so mitonic uses it as a generator, which ennealimmal and enneadecal can do also, and amity reaches it in three generators. We also have 7/6 = 4375/4374 * (27/25)^2, so 27/25 also tends to relatively low complexity, with the same caveat about &quot;relatively&quot;; however 27/25 is the period for ennealimmal.<br /> | |||
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<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Ennealimmal"></a><!-- ws:end:WikiTextHeadingRule:0 -->Ennealimmal</h1> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Ennealimmal"></a><!-- ws:end:WikiTextHeadingRule:0 -->Ennealimmal</h1> | ||
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<!-- ws:start:WikiTextHeadingRule:50:&lt;h2&gt; --><h2 id="toc25"><a name="Octoid-Music"></a><!-- ws:end:WikiTextHeadingRule:50 -->Music</h2> | <!-- ws:start:WikiTextHeadingRule:50:&lt;h2&gt; --><h2 id="toc25"><a name="Octoid-Music"></a><!-- ws:end:WikiTextHeadingRule:50 -->Music</h2> | ||
<!-- ws:start:WikiTextUrlRule: | <!-- ws:start:WikiTextUrlRule:508:http://www.archive.org/details/Dreyfus --><a class="wiki_link_ext" href="http://www.archive.org/details/Dreyfus" rel="nofollow">http://www.archive.org/details/Dreyfus</a><!-- ws:end:WikiTextUrlRule:508 --><br /> | ||
<a class="wiki_link_ext" href="http://www.archive.org/download/Dreyfus/Genewardsmith-Dreyfus.mp3" rel="nofollow">play</a><br /> | <a class="wiki_link_ext" href="http://www.archive.org/download/Dreyfus/Genewardsmith-Dreyfus.mp3" rel="nofollow">play</a><br /> | ||
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Map: [&lt;1 3 6 -2|, &lt;0 -5 -13 17|]<br /> | Map: [&lt;1 3 6 -2|, &lt;0 -5 -13 17|]<br /> | ||
Wedgie: &lt;&lt;5 13 -17 9 -41 -76||<br /> | |||
EDOs: 7, 39, 46, 53, 99, 251, 350<br /> | EDOs: 7, 39, 46, 53, 99, 251, 350<br /> | ||
Badness: 0.0236<br /> | Badness: 0.0236<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:58:&lt;h2&gt; --><h2 id="toc29"><a name="Amity-Hitchcock"></a><!-- ws:end:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:58:&lt;h2&gt; --><h2 id="toc29"><a name="Amity-11-limit"></a><!-- ws:end:WikiTextHeadingRule:58 -->11-limit</h2> | ||
Commas: 540/539, 4375/4374, 5120/5103<br /> | |||
<br /> | |||
POTE generator: ~243/200 = 339.464<br /> | |||
<br /> | |||
Map: [&lt;1 3 6 -2 21|, &lt;0 -5 -13 17 -62|]<br /> | |||
EDOs: 53, 99e, 152, 555de, 707de, 859bde<br /> | |||
Badness: 0.0315<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:60:&lt;h2&gt; --><h2 id="toc30"><a name="Amity-Hitchcock"></a><!-- ws:end:WikiTextHeadingRule:60 -->Hitchcock</h2> | |||
Commas: 121/120, 176/175, 2200/2187<br /> | Commas: 121/120, 176/175, 2200/2187<br /> | ||
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Badness: 0.0352<br /> | Badness: 0.0352<br /> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:62:&lt;h2&gt; --><h2 id="toc31"><a name="Amity-Hemiamity"></a><!-- ws:end:WikiTextHeadingRule:62 -->Hemiamity</h2> | ||
Commas: 4375/4374, 5120/5103, 3025/3024<br /> | Commas: 4375/4374, 5120/5103, 3025/3024<br /> | ||
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EDOs: 14, 46, 106, 152, 350<br /> | EDOs: 14, 46, 106, 152, 350<br /> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:64:&lt;h1&gt; --><h1 id="toc32"><a name="Parakleismic"></a><!-- ws:end:WikiTextHeadingRule:64 -->Parakleismic</h1> | ||
In the 5-limit, parakleismic is an undoubted microtemperament, tempering out the parakleisma, |8 14 -13&gt;, with the <a class="wiki_link" href="/118edo">118edo</a> tuning giving errors well under a cent. It has a generator a very slightly (half a cent or less) flat 6/5, 13 of which give 32/3, and 14 64/5. However while 118 no longer has better than a cent of accuracy in the 7 or 11 limits, it is a decent temperament there nonetheless, and this allows an extension, with the 7-limit wedgie being &lt;&lt;13 14 35 -8 19 42|| and adding 3136/3125 and 4375/4374, and the 11-limit wedgie &lt;&lt;13 14 35 -36 ...|| adding 385/384. For the 7-limit <a class="wiki_link" href="/99edo">99edo</a> may be preferred, but in the 11-limit it is best to stick with 118.<br /> | In the 5-limit, parakleismic is an undoubted microtemperament, tempering out the parakleisma, |8 14 -13&gt;, with the <a class="wiki_link" href="/118edo">118edo</a> tuning giving errors well under a cent. It has a generator a very slightly (half a cent or less) flat 6/5, 13 of which give 32/3, and 14 64/5. However while 118 no longer has better than a cent of accuracy in the 7 or 11 limits, it is a decent temperament there nonetheless, and this allows an extension, with the 7-limit wedgie being &lt;&lt;13 14 35 -8 19 42|| and adding 3136/3125 and 4375/4374, and the 11-limit wedgie &lt;&lt;13 14 35 -36 ...|| adding 385/384. For the 7-limit <a class="wiki_link" href="/99edo">99edo</a> may be preferred, but in the 11-limit it is best to stick with 118.<br /> | ||
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Badness: 0.0433<br /> | Badness: 0.0433<br /> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:66:&lt;h2&gt; --><h2 id="toc33"><a name="Parakleismic-7-limit"></a><!-- ws:end:WikiTextHeadingRule:66 -->7-limit</h2> | ||
Commas: 3136/3125, 4375/4374<br /> | Commas: 3136/3125, 4375/4374<br /> | ||
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Badness: 0.0274<br /> | Badness: 0.0274<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:68:&lt;h2&gt; --><h2 id="toc34"><a name="Parakleismic-11-limit"></a><!-- ws:end:WikiTextHeadingRule:68 -->11-limit</h2> | ||
Commas: 385/384, 3136/3125, 4375/4374<br /> | Commas: 385/384, 3136/3125, 4375/4374<br /> | ||
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Badness: 0.0497<br /> | Badness: 0.0497<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:70:&lt;h2&gt; --><h2 id="toc35"><a name="Parakleismic-Parkleismic"></a><!-- ws:end:WikiTextHeadingRule:70 -->Parkleismic</h2> | ||
Commas: 176/175, 1375/1372, 2200/2187<br /> | Commas: 176/175, 1375/1372, 2200/2187<br /> | ||
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Badness: 0.0559<br /> | Badness: 0.0559<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:72:&lt;h3&gt; --><h3 id="toc36"><a name="Parakleismic-Parkleismic-13-limit"></a><!-- ws:end:WikiTextHeadingRule:72 -->13-limit</h3> | ||
Commas: 169/168, 176/175, 325/324, 1375/1372<br /> | Commas: 169/168, 176/175, 325/324, 1375/1372<br /> | ||
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Badness: 0.0366<br /> | Badness: 0.0366<br /> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:74:&lt;h2&gt; --><h2 id="toc37"><a name="Parakleismic-Paradigmic"></a><!-- ws:end:WikiTextHeadingRule:74 -->Paradigmic</h2> | ||
Commas: 540/539, 896/891, 3136/3125<br /> | Commas: 540/539, 896/891, 3136/3125<br /> | ||
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Badness: 0.0417<br /> | Badness: 0.0417<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:76:&lt;h3&gt; --><h3 id="toc38"><a name="Parakleismic-Paradigmic-13-limit"></a><!-- ws:end:WikiTextHeadingRule:76 -->13-limit</h3> | ||
Commas: 169/168, 325/324, 540/539, 832/825<br /> | Commas: 169/168, 325/324, 540/539, 832/825<br /> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:78:&lt;h1&gt; --><h1 id="toc39"><a name="Quincy"></a><!-- ws:end:WikiTextHeadingRule:78 -->Quincy</h1> | ||
Commas: 4375/4374, 823543/819200<br /> | Commas: 4375/4374, 823543/819200<br /> | ||
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Badness: 0.0797<br /> | Badness: 0.0797<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:80:&lt;h2&gt; --><h2 id="toc40"><a name="Quincy-11-limit"></a><!-- ws:end:WikiTextHeadingRule:80 -->11-limit</h2> | ||
Commas: 441/440, 4000/3993, 41503/41472<br /> | Commas: 441/440, 4000/3993, 41503/41472<br /> | ||
<br /> | <br /> | ||
| Line 804: | Line 825: | ||
Badness: 0.0309<br /> | Badness: 0.0309<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:82:&lt;h2&gt; --><h2 id="toc41"><a name="Quincy-13-limit"></a><!-- ws:end:WikiTextHeadingRule:82 -->13-limit</h2> | ||
Commas: 364/363, 441/440, 676/675, 4375/4374<br /> | Commas: 364/363, 441/440, 676/675, 4375/4374<br /> | ||
<br /> | <br /> | ||
| Line 813: | Line 834: | ||
Badness: 0.0239<br /> | Badness: 0.0239<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:84:&lt;h2&gt; --><h2 id="toc42"><a name="Quincy-17-limit"></a><!-- ws:end:WikiTextHeadingRule:84 -->17-limit</h2> | ||
Commas: 364/363, 441/440, 595/594, 1001/1000, 1156/1155<br /> | Commas: 364/363, 441/440, 595/594, 1001/1000, 1156/1155<br /> | ||
<br /> | <br /> | ||
| Line 822: | Line 843: | ||
Badness: 0.0147<br /> | Badness: 0.0147<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:86:&lt;h2&gt; --><h2 id="toc43"><a name="Quincy-19-limit"></a><!-- ws:end:WikiTextHeadingRule:86 -->19-limit</h2> | ||
Commas: 343/342, 364/363, 441/440, 595/594, 676/675, 2601/2600<br /> | Commas: 343/342, 364/363, 441/440, 595/594, 676/675, 2601/2600<br /> | ||
<br /> | <br /> | ||