5L 7s: Difference between revisions

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Wikispaces>keenanpepper
**Imported revision 373265652 - Original comment: **
Wikispaces>JosephRuhf
**Imported revision 388810480 - 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:keenanpepper|keenanpepper]] and made on <tt>2012-10-15 15:54:38 UTC</tt>.<br>
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2012-12-03 23:18:51 UTC</tt>.<br>
: The original revision id was <tt>373265652</tt>.<br>
: The original revision id was <tt>388810480</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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||||||||||||||||~ Generator ||~ in cents ||~ Comments ||
||||||||||||||||~ Generator ||~ in cents ||~ Comments ||
||= 5\12 ||=  ||=  ||=  ||=  ||=  ||=  ||=  ||&lt; 500.000 ||=  ||
||= 5\12 ||=  ||=  ||=  ||=  ||=  ||=  ||=  ||= 500.000 ||=  ||
||=  ||=  ||=  ||=  ||=  ||= 27\65 ||=  ||=  ||&lt; 498.462 ||= Photia ||
||=  ||=  ||=  ||=  ||=  ||=  ||=  ||= 37\89 ||= 498.876 ||=  ||
||=  ||=  ||=  ||=  ||=  ||=  ||= 49\118 ||=  ||&lt; 498.305 ||= Helmholtz/Pontiac/Nestoria ||
||=  ||=  ||=  ||=  ||=  ||=  ||= 32\77 ||=  ||= 498.702 ||=  ||
||=  ||=  ||=  ||=  ||=  ||=  ||=  ||= 71\171 ||&lt; 498.246 ||= Helmholtz/Pontiac/Nestoria ||
||=  ||=  ||=  ||=  ||=  ||= 27\65 ||=  ||=  ||= 498.462 ||= Photia ||
||=  ||=  ||=  ||=  ||= 22\53 ||=  ||=  ||=  ||&lt; 498.113 ||= Helenus ||
||=  ||=  ||=  ||=  ||=  ||=  ||= 49\118 ||=  ||= 498.305 ||= Helmholtz/Pontiac/Nestoria ||
||=  ||=  ||=  ||=  ||=  ||= 39\94 ||=  ||=  ||&lt; 497.872 ||= Garibaldi ||
||=  ||=  ||=  ||=  ||=  ||=  ||=  ||= 71\171 ||= 498.246 ||= Helmholtz/Pontiac/Nestoria ||
||=  ||=  ||=  ||= 17\41 ||=  ||=  ||=  ||=  ||&lt; 497.591 ||= Cassandra ||
||=  ||=  ||=  ||=  ||= 22\53 ||=  ||=  ||=  ||= 498.113 ||= Helenus ||
||=  ||=  ||=  ||=  ||=  ||= 46\111 ||=  ||=  ||&lt; 497.297 ||=  ||
||=  ||=  ||=  ||=  ||=  ||= 39\94 ||=  ||=  ||= 497.872 ||= Garibaldi ||
||=  ||=  ||=  ||=  ||= 29\70 ||=  ||=  ||=  ||&lt; 497.143 ||= Undecental ||
||=  ||=  ||=  ||= 17\41 ||=  ||=  ||=  ||=  ||= 497.591 ||= Cassandra ||
||=  ||=  ||=  ||=  ||=  ||= 41\99 ||=  ||=  ||&lt; 496.97 ||= Undecental ||
||=  ||=  ||=  ||=  ||=  ||= 46\111 ||=  ||=  ||= 497.297 ||=  ||
||=  ||=  ||= 12\29 ||=  ||=  ||=  ||=  ||=  ||&lt; 496.552 ||= Optimum rank range (L/s=3/2)
||=  ||=  ||=  ||=  ||= 29\70 ||=  ||=  ||=  ||= 497.143 ||= Undecental ||
||=  ||=  ||=  ||=  ||=  ||= 41\99 ||=  ||=  ||= 496.97 ||= Undecental ||
||=  ||=  ||= 12\29 ||=  ||=  ||=  ||=  ||=  ||= 496.552 ||= Optimum rank range (L/s=3/2)
Edson ||
Edson ||
||=  ||=  ||=  ||=  ||=  ||= 43\104 ||=  ||=  ||&lt; 496.154 ||=  ||
||=  ||=  ||=  ||=  ||=  ||= 43\104 ||=  ||=  ||= 496.154 ||=  ||
||=  ||=  ||=  ||=  ||= 31\75 ||=  ||=  ||=  ||&lt; 496.000 ||=  ||
||=  ||=  ||=  ||=  ||= 31\75 ||=  ||=  ||=  ||= 496.000 ||=  ||
||=  ||=  ||=  ||=  ||=  ||= 50\121 ||=  ||=  ||&lt; 495.868 ||= Leapday/[[Peppermint-24|Peppermint]]/Pepperoni ||
||=  ||=  ||=  ||=  ||=  ||= 50\121 ||=  ||=  ||= 495.868 ||= Leapday/[[Peppermint-24|Peppermint]]/Pepperoni ||
||=  ||=  ||=  ||= 19\46 ||=  ||=  ||=  ||=  ||&lt; 495.652 ||= Leapday ||
||=  ||=  ||=  ||= 19\46 ||=  ||=  ||=  ||=  ||= 495.652 ||= Leapday ||
||=  ||=  ||=  ||=  ||=  ||= 45\109 ||=  ||=  ||&lt; 495.413 ||=  ||
||=  ||=  ||=  ||=  ||=  ||= 45\109 ||=  ||=  ||= 495.413 ||=  ||
||=  ||=  ||=  ||=  ||= 26\63 ||=  ||=  ||=  ||&lt; 495.238 ||=  ||
||=  ||=  ||=  ||=  ||= 26\63 ||=  ||=  ||=  ||= 495.238 ||=  ||
||=  ||=  ||=  ||=  ||=  ||= 33\80 ||=  ||=  ||&lt; 495 ||=  ||
||=  ||=  ||=  ||=  ||=  ||= 33\80 ||=  ||=  ||= 495 ||=  ||
||=  ||= 7\17 ||=  ||=  ||=  ||=  ||=  ||=  ||&lt; 494.118 ||= Boundary of propriety (generators
||=  ||= 7\17 ||=  ||=  ||=  ||=  ||=  ||=  ||= 494.118 ||= Boundary of propriety (generators
larger than this are proper)
larger than this are proper)
Supraphon ||
Supraphon ||
||=  ||=  ||=  ||=  ||=  ||= 30\73 ||=  ||=  ||&lt; 493.151 ||=  ||
||=  ||=  ||=  ||=  ||=  ||= 30\73 ||=  ||=  ||= 493.151 ||=  ||
||=  ||=  ||=  ||=  ||= 23\56 ||=  ||=  ||=  ||&lt; 492.857 ||=  ||
||=  ||=  ||=  ||=  ||= 23\56 ||=  ||=  ||=  ||= 492.857 ||=  ||
||=  ||=  ||=  ||=  ||=  ||= 39\95 ||=  ||=  ||&lt; 492.632 ||=  ||
||=  ||=  ||=  ||=  ||=  ||= 39\95 ||=  ||=  ||= 492.632 ||=  ||
||=  ||=  ||=  ||= 16\39 ||=  ||=  ||=  ||=  ||&lt; 492.308 ||=  ||
||=  ||=  ||=  ||= 16\39 ||=  ||=  ||=  ||=  ||= 492.308 ||=  ||
||=  ||=  ||=  ||=  ||=  ||= 41\100 ||=  ||=  ||&lt; 492 ||=  ||
||=  ||=  ||=  ||=  ||=  ||= 41\100 ||=  ||=  ||= 492 ||=  ||
||=  ||=  ||=  ||=  ||= 25\61 ||=  ||=  ||=  ||&lt; 491.803 ||=  ||
||=  ||=  ||=  ||=  ||= 25\61 ||=  ||=  ||=  ||= 491.803 ||=  ||
||=  ||=  ||=  ||=  ||=  ||= 34\83 ||=  ||=  ||&lt; 491.566 ||=  ||
||=  ||=  ||=  ||=  ||=  ||= 34\83 ||=  ||=  ||= 491.566 ||=  ||
||=  ||=  ||= 9\22 ||=  ||=  ||=  ||=  ||=  ||&lt; 490.909 ||= Suprapyth/Supra ||
||=  ||=  ||= 9\22 ||=  ||=  ||=  ||=  ||=  ||= 490.909 ||= Suprapyth/Supra ||
||=  ||=  ||=  ||=  ||=  ||= 29\71 ||=  ||=  ||&lt; 490.141 ||=  ||
||=  ||=  ||=  ||=  ||=  ||= 29\71 ||=  ||=  ||= 490.141 ||=  ||
||=  ||=  ||=  ||=  ||= 20\49 ||=  ||=  ||=  ||&lt; 489.796 ||= Superpyth ||
||=  ||=  ||=  ||=  ||= 20\49 ||=  ||=  ||=  ||= 489.796 ||= Superpyth ||
||=  ||=  ||=  ||=  ||=  ||= 31\76 ||=  ||=  ||&lt; 489.474 ||=  ||
||=  ||=  ||=  ||=  ||=  ||= 31\76 ||=  ||=  ||= 489.474 ||=  ||
||=  ||=  ||=  ||= 11\27 ||=  ||=  ||=  ||=  ||&lt; 488.889 ||= Archy ||
||=  ||=  ||=  ||= 11\27 ||=  ||=  ||=  ||=  ||= 488.889 ||= Archy ||
||=  ||=  ||=  ||=  ||=  ||= 24\59 ||=  ||=  ||&lt; 488.136 ||=  ||
||=  ||=  ||=  ||=  ||=  ||= 24\59 ||=  ||=  ||= 488.136 ||=  ||
||=  ||=  ||=  ||=  ||= 13\32 ||=  ||=  ||=  ||&lt; 487.500 ||=  ||
||=  ||=  ||=  ||=  ||= 13\32 ||=  ||=  ||=  ||= 487.500 ||=  ||
||=  ||=  ||=  ||=  ||=  ||= 15\37 ||=  ||=  ||&lt; 486.486 ||=  ||
||=  ||=  ||=  ||=  ||=  ||= 15\37 ||=  ||=  ||= 486.486 ||=  ||
||= 2\5 ||=  ||=  ||=  ||=  ||=  ||=  ||=  ||&lt; 480.000 ||=  ||</pre></div>
||=  ||=  ||=  ||=  ||=  ||=  ||= 17\42 ||=  ||= 485.714 ||=  ||
||=  ||=  ||=  ||=  ||=  ||=  ||=  ||= 19\47 ||= 485.106 ||=  ||
||= 2\5 ||=  ||=  ||=  ||=  ||=  ||=  ||=  ||= 480.000 ||=  ||</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;5L 7s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;This is the MOS pattern of the Pythagorean/&lt;a class="wiki_link" href="/Schismatic%20family"&gt;schismatic/Helmholtz/Garibaldi&lt;/a&gt; chromatic scale, and also the &lt;a class="wiki_link" href="/Archytas%20clan"&gt;superpyth&lt;/a&gt; chromatic scale. In contrast to the &lt;a class="wiki_link" href="/7L%205s"&gt;meantone chromatic scale&lt;/a&gt;, in which &amp;quot;diatonic&amp;quot; semitones are larger than &amp;quot;chromatic&amp;quot; semitones, here the reverse is true: diatonic semitones are smaller than chromatic semitones, so the &lt;a class="wiki_link" href="/5L%202s"&gt;diatonic scale&lt;/a&gt; subset is actually &lt;a class="wiki_link" href="/Rothenberg%20propriety"&gt;improper&lt;/a&gt;.&lt;br /&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;5L 7s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;This is the MOS pattern of the Pythagorean/&lt;a class="wiki_link" href="/Schismatic%20family"&gt;schismatic/Helmholtz/Garibaldi&lt;/a&gt; chromatic scale, and also the &lt;a class="wiki_link" href="/Archytas%20clan"&gt;superpyth&lt;/a&gt; chromatic scale. In contrast to the &lt;a class="wiki_link" href="/7L%205s"&gt;meantone chromatic scale&lt;/a&gt;, in which &amp;quot;diatonic&amp;quot; semitones are larger than &amp;quot;chromatic&amp;quot; semitones, here the reverse is true: diatonic semitones are smaller than chromatic semitones, so the &lt;a class="wiki_link" href="/5L%202s"&gt;diatonic scale&lt;/a&gt; subset is actually &lt;a class="wiki_link" href="/Rothenberg%20propriety"&gt;improper&lt;/a&gt;.&lt;br /&gt;
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         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;500.000&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;500.000&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;37\89&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;498.876&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;32\77&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;498.702&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
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         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;498.462&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;498.462&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;Photia&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Photia&lt;br /&gt;
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         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;498.305&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;498.305&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;Helmholtz/Pontiac/Nestoria&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Helmholtz/Pontiac/Nestoria&lt;br /&gt;
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         &lt;td style="text-align: center;"&gt;71\171&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;71\171&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;498.246&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;498.246&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;Helmholtz/Pontiac/Nestoria&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Helmholtz/Pontiac/Nestoria&lt;br /&gt;
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         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;498.113&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;498.113&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;Helenus&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Helenus&lt;br /&gt;
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         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;497.872&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;497.872&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;Garibaldi&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Garibaldi&lt;br /&gt;
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         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;497.591&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;497.591&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;Cassandra&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Cassandra&lt;br /&gt;
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         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;497.297&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;497.297&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
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         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;497.143&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;497.143&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;Undecental&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Undecental&lt;br /&gt;
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         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;496.97&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;496.97&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;Undecental&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Undecental&lt;br /&gt;
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         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;496.552&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;496.552&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;Optimum rank range (L/s=3/2)&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Optimum rank range (L/s=3/2)&lt;br /&gt;
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         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;496.154&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;496.154&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
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         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;496.000&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;496.000&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
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         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;495.868&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;495.868&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;Leapday/&lt;a class="wiki_link" href="/Peppermint-24"&gt;Peppermint&lt;/a&gt;/Pepperoni&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Leapday/&lt;a class="wiki_link" href="/Peppermint-24"&gt;Peppermint&lt;/a&gt;/Pepperoni&lt;br /&gt;
Line 395: Line 443:
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;495.652&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;495.652&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;Leapday&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Leapday&lt;br /&gt;
Line 417: Line 465:
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;495.413&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;495.413&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
Line 439: Line 487:
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;495.238&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;495.238&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
Line 461: Line 509:
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;495&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;495&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
Line 483: Line 531:
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;494.118&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;494.118&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;Boundary of propriety (generators&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Boundary of propriety (generators&lt;br /&gt;
Line 507: Line 555:
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;493.151&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;493.151&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
Line 529: Line 577:
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;492.857&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;492.857&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
Line 551: Line 599:
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;492.632&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;492.632&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
Line 573: Line 621:
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;492.308&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;492.308&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
Line 595: Line 643:
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;492&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;492&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
Line 617: Line 665:
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;491.803&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;491.803&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
Line 639: Line 687:
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;491.566&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;491.566&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
Line 661: Line 709:
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;490.909&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;490.909&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;Suprapyth/Supra&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Suprapyth/Supra&lt;br /&gt;
Line 683: Line 731:
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;490.141&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;490.141&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
Line 705: Line 753:
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;489.796&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;489.796&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;Superpyth&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Superpyth&lt;br /&gt;
Line 727: Line 775:
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;489.474&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;489.474&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
Line 749: Line 797:
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;488.889&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;488.889&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;Archy&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Archy&lt;br /&gt;
Line 771: Line 819:
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;488.136&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;488.136&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
Line 793: Line 841:
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;487.500&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;487.500&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
Line 815: Line 863:
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;486.486&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;486.486&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;17\42&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;485.714&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;19\47&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;485.106&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
Line 837: Line 929:
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;480.000&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;480.000&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;

Revision as of 23:18, 3 December 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 JosephRuhf and made on 2012-12-03 23:18:51 UTC.
The original revision id was 388810480.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

This is the MOS pattern of the Pythagorean/[[Schismatic family|schismatic/Helmholtz/Garibaldi]] chromatic scale, and also the [[Archytas clan|superpyth]] chromatic scale. In contrast to the [[7L 5s|meantone chromatic scale]], in which "diatonic" semitones are larger than "chromatic" semitones, here the reverse is true: diatonic semitones are smaller than chromatic semitones, so the [[5L 2s|diatonic scale]] subset is actually [[Rothenberg propriety|improper]].

The two distinct harmonic entropy minima with this MOS pattern are, on the one hand, scales very close to Pythagorean such that 64/63 is not tempered out, such as the schismatic temperaments known as "Helmholtz" and "Garibaldi", and on the other hand, the much simpler and less accurate scale known as "superpyth" in which 64/63 is tempered out.

The Pythagorean/schismatic version is proper, but the superpyth version is improper (it doesn't become proper until you add 5 more notes to form the superpyth "enharmonic" scale, superpyth[17]).

||||||||||||||||~ Generator ||~ in cents ||~ Comments ||
||= 5\12 ||=   ||=   ||=   ||=   ||=   ||=   ||=   ||= 500.000 ||=   ||
||=   ||=   ||=   ||=   ||=   ||=   ||=   ||= 37\89 ||= 498.876 ||=   ||
||=   ||=   ||=   ||=   ||=   ||=   ||= 32\77 ||=   ||= 498.702 ||=   ||
||=   ||=   ||=   ||=   ||=   ||= 27\65 ||=   ||=   ||= 498.462 ||= Photia ||
||=   ||=   ||=   ||=   ||=   ||=   ||= 49\118 ||=   ||= 498.305 ||= Helmholtz/Pontiac/Nestoria ||
||=   ||=   ||=   ||=   ||=   ||=   ||=   ||= 71\171 ||= 498.246 ||= Helmholtz/Pontiac/Nestoria ||
||=   ||=   ||=   ||=   ||= 22\53 ||=   ||=   ||=   ||= 498.113 ||= Helenus ||
||=   ||=   ||=   ||=   ||=   ||= 39\94 ||=   ||=   ||= 497.872 ||= Garibaldi ||
||=   ||=   ||=   ||= 17\41 ||=   ||=   ||=   ||=   ||= 497.591 ||= Cassandra ||
||=   ||=   ||=   ||=   ||=   ||= 46\111 ||=   ||=   ||= 497.297 ||=   ||
||=   ||=   ||=   ||=   ||= 29\70 ||=   ||=   ||=   ||= 497.143 ||= Undecental ||
||=   ||=   ||=   ||=   ||=   ||= 41\99 ||=   ||=   ||= 496.97 ||= Undecental ||
||=   ||=   ||= 12\29 ||=   ||=   ||=   ||=   ||=   ||= 496.552 ||= Optimum rank range (L/s=3/2)
Edson ||
||=   ||=   ||=   ||=   ||=   ||= 43\104 ||=   ||=   ||= 496.154 ||=   ||
||=   ||=   ||=   ||=   ||= 31\75 ||=   ||=   ||=   ||= 496.000 ||=   ||
||=   ||=   ||=   ||=   ||=   ||= 50\121 ||=   ||=   ||= 495.868 ||= Leapday/[[Peppermint-24|Peppermint]]/Pepperoni ||
||=   ||=   ||=   ||= 19\46 ||=   ||=   ||=   ||=   ||= 495.652 ||= Leapday ||
||=   ||=   ||=   ||=   ||=   ||= 45\109 ||=   ||=   ||= 495.413 ||=   ||
||=   ||=   ||=   ||=   ||= 26\63 ||=   ||=   ||=   ||= 495.238 ||=   ||
||=   ||=   ||=   ||=   ||=   ||= 33\80 ||=   ||=   ||= 495 ||=   ||
||=   ||= 7\17 ||=   ||=   ||=   ||=   ||=   ||=   ||= 494.118 ||= Boundary of propriety (generators
larger than this are proper)
Supraphon ||
||=   ||=   ||=   ||=   ||=   ||= 30\73 ||=   ||=   ||= 493.151 ||=   ||
||=   ||=   ||=   ||=   ||= 23\56 ||=   ||=   ||=   ||= 492.857 ||=   ||
||=   ||=   ||=   ||=   ||=   ||= 39\95 ||=   ||=   ||= 492.632 ||=   ||
||=   ||=   ||=   ||= 16\39 ||=   ||=   ||=   ||=   ||= 492.308 ||=   ||
||=   ||=   ||=   ||=   ||=   ||= 41\100 ||=   ||=   ||= 492 ||=   ||
||=   ||=   ||=   ||=   ||= 25\61 ||=   ||=   ||=   ||= 491.803 ||=   ||
||=   ||=   ||=   ||=   ||=   ||= 34\83 ||=   ||=   ||= 491.566 ||=   ||
||=   ||=   ||= 9\22 ||=   ||=   ||=   ||=   ||=   ||= 490.909 ||= Suprapyth/Supra ||
||=   ||=   ||=   ||=   ||=   ||= 29\71 ||=   ||=   ||= 490.141 ||=   ||
||=   ||=   ||=   ||=   ||= 20\49 ||=   ||=   ||=   ||= 489.796 ||= Superpyth ||
||=   ||=   ||=   ||=   ||=   ||= 31\76 ||=   ||=   ||= 489.474 ||=   ||
||=   ||=   ||=   ||= 11\27 ||=   ||=   ||=   ||=   ||= 488.889 ||= Archy ||
||=   ||=   ||=   ||=   ||=   ||= 24\59 ||=   ||=   ||= 488.136 ||=   ||
||=   ||=   ||=   ||=   ||= 13\32 ||=   ||=   ||=   ||= 487.500 ||=   ||
||=   ||=   ||=   ||=   ||=   ||= 15\37 ||=   ||=   ||= 486.486 ||=   ||
||=   ||=   ||=   ||=   ||=   ||=   ||= 17\42 ||=   ||= 485.714 ||=   ||
||=   ||=   ||=   ||=   ||=   ||=   ||=   ||= 19\47 ||= 485.106 ||=   ||
||= 2\5 ||=   ||=   ||=   ||=   ||=   ||=   ||=   ||= 480.000 ||=   ||

Original HTML content:

<html><head><title>5L 7s</title></head><body>This is the MOS pattern of the Pythagorean/<a class="wiki_link" href="/Schismatic%20family">schismatic/Helmholtz/Garibaldi</a> chromatic scale, and also the <a class="wiki_link" href="/Archytas%20clan">superpyth</a> chromatic scale. In contrast to the <a class="wiki_link" href="/7L%205s">meantone chromatic scale</a>, in which &quot;diatonic&quot; semitones are larger than &quot;chromatic&quot; semitones, here the reverse is true: diatonic semitones are smaller than chromatic semitones, so the <a class="wiki_link" href="/5L%202s">diatonic scale</a> subset is actually <a class="wiki_link" href="/Rothenberg%20propriety">improper</a>.<br />
<br />
The two distinct harmonic entropy minima with this MOS pattern are, on the one hand, scales very close to Pythagorean such that 64/63 is not tempered out, such as the schismatic temperaments known as &quot;Helmholtz&quot; and &quot;Garibaldi&quot;, and on the other hand, the much simpler and less accurate scale known as &quot;superpyth&quot; in which 64/63 is tempered out.<br />
<br />
The Pythagorean/schismatic version is proper, but the superpyth version is improper (it doesn't become proper until you add 5 more notes to form the superpyth &quot;enharmonic&quot; scale, superpyth[17]).<br />
<br />


<table class="wiki_table">
    <tr>
        <th colspan="8">Generator<br />
</th>
        <th>in cents<br />
</th>
        <th>Comments<br />
</th>
    </tr>
    <tr>
        <td style="text-align: center;">5\12<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">500.000<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">37\89<br />
</td>
        <td style="text-align: center;">498.876<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">32\77<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">498.702<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">27\65<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">498.462<br />
</td>
        <td style="text-align: center;">Photia<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">49\118<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">498.305<br />
</td>
        <td style="text-align: center;">Helmholtz/Pontiac/Nestoria<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">71\171<br />
</td>
        <td style="text-align: center;">498.246<br />
</td>
        <td style="text-align: center;">Helmholtz/Pontiac/Nestoria<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">22\53<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">498.113<br />
</td>
        <td style="text-align: center;">Helenus<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">39\94<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">497.872<br />
</td>
        <td style="text-align: center;">Garibaldi<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">17\41<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">497.591<br />
</td>
        <td style="text-align: center;">Cassandra<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">46\111<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">497.297<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">29\70<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">497.143<br />
</td>
        <td style="text-align: center;">Undecental<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">41\99<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">496.97<br />
</td>
        <td style="text-align: center;">Undecental<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">12\29<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">496.552<br />
</td>
        <td style="text-align: center;">Optimum rank range (L/s=3/2)<br />
Edson<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">43\104<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">496.154<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">31\75<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">496.000<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">50\121<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">495.868<br />
</td>
        <td style="text-align: center;">Leapday/<a class="wiki_link" href="/Peppermint-24">Peppermint</a>/Pepperoni<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">19\46<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">495.652<br />
</td>
        <td style="text-align: center;">Leapday<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">45\109<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">495.413<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">26\63<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">495.238<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">33\80<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">495<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">7\17<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">494.118<br />
</td>
        <td style="text-align: center;">Boundary of propriety (generators<br />
larger than this are proper)<br />
Supraphon<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">30\73<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">493.151<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">23\56<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">492.857<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">39\95<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">492.632<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">16\39<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">492.308<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">41\100<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">492<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">25\61<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">491.803<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">34\83<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">491.566<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">9\22<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">490.909<br />
</td>
        <td style="text-align: center;">Suprapyth/Supra<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">29\71<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">490.141<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">20\49<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">489.796<br />
</td>
        <td style="text-align: center;">Superpyth<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">31\76<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">489.474<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">11\27<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">488.889<br />
</td>
        <td style="text-align: center;">Archy<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">24\59<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">488.136<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">13\32<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">487.500<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">15\37<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">486.486<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">17\42<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">485.714<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">19\47<br />
</td>
        <td style="text-align: center;">485.106<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">2\5<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">480.000<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
</table>

</body></html>