1L 5s: Difference between revisions

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**Imported revision 248864753 - Original comment: **
Wikispaces>guest
**Imported revision 249047197 - 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:guest|guest]] and made on <tt>2011-08-28 01:35:37 UTC</tt>.<br>
: This revision was by author [[User:guest|guest]] and made on <tt>2011-08-29 03:45:20 UTC</tt>.<br>
: The original revision id was <tt>248864753</tt>.<br>
: The original revision id was <tt>249047197</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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Other scales include very improper (incomplete) versions of porcupine, negri, etc.
Other scales include very improper (incomplete) versions of porcupine, negri, etc.
||||||||||||||~ Generator ||~ Cents ||~ Comments ||
||||||||||||||~ Generator ||~ Cents ||~ Comments ||
|| 0\1 ||  ||  ||  ||  ||  ||  || 0 ||  ||
|| 0\1 ||  ||  ||  ||  ||  ||  || 0 ||=   ||
||  ||  || 1\8 ||  ||  ||  ||  || 150 ||  ||
||  ||  || 1\8 ||  ||  ||  ||  || 150 ||=   ||
||  ||  ||  || 2\15 ||  ||  ||  || 160 ||  ||
||  ||  ||  || 2\15 ||  ||  ||  || 160 ||=   ||
||  ||  ||  ||  || 3\22 ||  ||  || 163.64 || Porcupine is around here ||
||  ||  ||  ||  || 3\22 ||  ||  || 163.64 ||= Porcupine is around here ||
||  || 1\7 ||  ||  ||  ||  ||  || 171.43 ||= Boundary of propriety
||  || 1\7 ||  ||  ||  ||  ||  || 171.43 ||= Boundary of propriety
(generators larger than this are proper) ||
(generators larger than this are proper) ||
||  ||  ||  ||  ||  || 5\34 ||  || 176.47 || Tetracot is around here ||
||  ||  ||  ||  ||  || 5\34 ||  || 176.47 ||= Tetracot is around here ||
||  ||  ||  ||  || 4\27 ||  ||  || 177.78 ||  ||
||  ||  ||  ||  || 4\27 ||  ||  || 177.78 ||=   ||
||  ||  ||  || 3\20 ||  ||  ||  || 180 ||  ||
||  ||  ||  || 3\20 ||  ||  ||  || 180 ||=   ||
||  ||  ||  ||  ||  || 8\53 ||  || 181.13 ||  ||
||  ||  ||  ||  ||  || 8\53 ||  || 181.13 ||=   ||
||  ||  ||  ||  ||  ||  || 13\86 || 181.40 || Unnamed golden temperament (discussed in [[http://launch.groups.yahoo.com/group/tuning/message/100254|this thread]]) ||
||  ||  ||  ||  ||  ||  || 13\86 || 181.40 ||= Unnamed golden temperament (discussed in [[http://launch.groups.yahoo.com/group/tuning/message/100254|this thread]]) ||
||  ||  ||  ||  || 5\33 ||  ||  || 181.82 ||  ||
||  ||  ||  ||  || 5\33 ||  ||  || 181.82 ||=   ||
||  ||  || 2\13 ||  ||  ||  ||  || 184.62 ||   ||
||  ||  || 2\13 ||  ||  ||  ||  || 184.62 ||= Optimum rank range (L/s=3/2) ||
||  ||  ||  || 3\19 ||  ||  ||  || 189.47 ||  ||
||  ||  ||  || 3\19 ||  ||  ||  || 189.47 ||=   ||
||  ||  ||  ||  || 4\25 ||  ||  || 192 ||  ||
||  ||  ||  ||  || 4\25 ||  ||  || 192 ||=   ||
||  ||  ||  ||  ||  || 5\31 ||  || 193.55 ||  ||
||  ||  ||  ||  ||  || 5\31 ||  || 193.55 ||=   ||
||  ||  ||  ||  ||  ||  || 6\37 || 194.59 || Luna/Hemithird/Roulette is around here: [[roulette6]] ||
||  ||  ||  ||  ||  ||  || 6\37 || 194.59 ||= Luna/Hemithird/Roulette is around here: [[roulette6]] ||
|| 1\6 ||  ||  ||  ||  ||  ||  || 200 ||  ||</pre></div>
|| 1\6 ||  ||  ||  ||  ||  ||  || 200 ||=   ||</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;1L 5s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;There are two notable low-harmonic-entropy scales with this &lt;a class="wiki_link" href="/MOSScales"&gt;MOS&lt;/a&gt; pattern. The first is &lt;a class="wiki_link" href="/Tetracot%20family"&gt;tetracot&lt;/a&gt;, in which four generators make a 3/2. The second is a scale in which two generators make a 5/4, which could be referred to by various names. The temperaments &amp;quot;luna&amp;quot;, &amp;quot;hemithird&amp;quot;, and &amp;quot;hemiwürschmidt&amp;quot; all have 6-note MOSes that are very similar. But perhaps it is best known as &lt;a class="wiki_link" href="/roulette6"&gt;roulette6&lt;/a&gt;, the six note haplitonic scale for the roulette &lt;a class="wiki_link" href="/Chromatic%20pair"&gt;Chromatic pair&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;1L 5s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;There are two notable low-harmonic-entropy scales with this &lt;a class="wiki_link" href="/MOSScales"&gt;MOS&lt;/a&gt; pattern. The first is &lt;a class="wiki_link" href="/Tetracot%20family"&gt;tetracot&lt;/a&gt;, in which four generators make a 3/2. The second is a scale in which two generators make a 5/4, which could be referred to by various names. The temperaments &amp;quot;luna&amp;quot;, &amp;quot;hemithird&amp;quot;, and &amp;quot;hemiwürschmidt&amp;quot; all have 6-note MOSes that are very similar. But perhaps it is best known as &lt;a class="wiki_link" href="/roulette6"&gt;roulette6&lt;/a&gt;, the six note haplitonic scale for the roulette &lt;a class="wiki_link" href="/Chromatic%20pair"&gt;Chromatic pair&lt;/a&gt;.&lt;br /&gt;
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         &lt;td&gt;0&lt;br /&gt;
         &lt;td&gt;0&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;150&lt;br /&gt;
         &lt;td&gt;150&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;160&lt;br /&gt;
         &lt;td&gt;160&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;163.64&lt;br /&gt;
         &lt;td&gt;163.64&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Porcupine is around here&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Porcupine is around here&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;176.47&lt;br /&gt;
         &lt;td&gt;176.47&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Tetracot is around here&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Tetracot is around here&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;177.78&lt;br /&gt;
         &lt;td&gt;177.78&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;180&lt;br /&gt;
         &lt;td&gt;180&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;181.13&lt;br /&gt;
         &lt;td&gt;181.13&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;181.40&lt;br /&gt;
         &lt;td&gt;181.40&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Unnamed golden temperament (discussed in &lt;a class="wiki_link_ext" href="http://launch.groups.yahoo.com/group/tuning/message/100254" rel="nofollow"&gt;this thread&lt;/a&gt;)&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Unnamed golden temperament (discussed in &lt;a class="wiki_link_ext" href="http://launch.groups.yahoo.com/group/tuning/message/100254" rel="nofollow"&gt;this thread&lt;/a&gt;)&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;181.82&lt;br /&gt;
         &lt;td&gt;181.82&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;184.62&lt;br /&gt;
         &lt;td&gt;184.62&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Optimum rank range (L/s=3/2)&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;189.47&lt;br /&gt;
         &lt;td&gt;189.47&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;192&lt;br /&gt;
         &lt;td&gt;192&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;193.55&lt;br /&gt;
         &lt;td&gt;193.55&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;194.59&lt;br /&gt;
         &lt;td&gt;194.59&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Luna/Hemithird/Roulette is around here: &lt;a class="wiki_link" href="/roulette6"&gt;roulette6&lt;/a&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Luna/Hemithird/Roulette is around here: &lt;a class="wiki_link" href="/roulette6"&gt;roulette6&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td&gt;200&lt;br /&gt;
         &lt;td&gt;200&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;

Revision as of 03:45, 29 August 2011

IMPORTED REVISION FROM WIKISPACES

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

This revision was by author guest and made on 2011-08-29 03:45:20 UTC.
The original revision id was 249047197.
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:

There are two notable low-harmonic-entropy scales with this [[MOSScales|MOS]] pattern. The first is [[Tetracot family|tetracot]], in which four generators make a 3/2. The second is a scale in which two generators make a 5/4, which could be referred to by various names. The temperaments "luna", "hemithird", and "hemiwürschmidt" all have 6-note MOSes that are very similar. But perhaps it is best known as [[roulette6]], the six note haplitonic scale for the roulette [[Chromatic pair]].

Other scales include very improper (incomplete) versions of porcupine, negri, etc.
||||||||||||||~ Generator ||~ Cents ||~ Comments ||
|| 0\1 ||   ||   ||   ||   ||   ||   || 0 ||=   ||
||   ||   || 1\8 ||   ||   ||   ||   || 150 ||=   ||
||   ||   ||   || 2\15 ||   ||   ||   || 160 ||=   ||
||   ||   ||   ||   || 3\22 ||   ||   || 163.64 ||= Porcupine is around here ||
||   || 1\7 ||   ||   ||   ||   ||   || 171.43 ||= Boundary of propriety
(generators larger than this are proper) ||
||   ||   ||   ||   ||   || 5\34 ||   || 176.47 ||= Tetracot is around here ||
||   ||   ||   ||   || 4\27 ||   ||   || 177.78 ||=   ||
||   ||   ||   || 3\20 ||   ||   ||   || 180 ||=   ||
||   ||   ||   ||   ||   || 8\53 ||   || 181.13 ||=   ||
||   ||   ||   ||   ||   ||   || 13\86 || 181.40 ||= Unnamed golden temperament (discussed in [[http://launch.groups.yahoo.com/group/tuning/message/100254|this thread]]) ||
||   ||   ||   ||   || 5\33 ||   ||   || 181.82 ||=   ||
||   ||   || 2\13 ||   ||   ||   ||   || 184.62 ||= Optimum rank range (L/s=3/2) ||
||   ||   ||   || 3\19 ||   ||   ||   || 189.47 ||=   ||
||   ||   ||   ||   || 4\25 ||   ||   || 192 ||=   ||
||   ||   ||   ||   ||   || 5\31 ||   || 193.55 ||=   ||
||   ||   ||   ||   ||   ||   || 6\37 || 194.59 ||= Luna/Hemithird/Roulette is around here: [[roulette6]] ||
|| 1\6 ||   ||   ||   ||   ||   ||   || 200 ||=   ||

Original HTML content:

<html><head><title>1L 5s</title></head><body>There are two notable low-harmonic-entropy scales with this <a class="wiki_link" href="/MOSScales">MOS</a> pattern. The first is <a class="wiki_link" href="/Tetracot%20family">tetracot</a>, in which four generators make a 3/2. The second is a scale in which two generators make a 5/4, which could be referred to by various names. The temperaments &quot;luna&quot;, &quot;hemithird&quot;, and &quot;hemiwürschmidt&quot; all have 6-note MOSes that are very similar. But perhaps it is best known as <a class="wiki_link" href="/roulette6">roulette6</a>, the six note haplitonic scale for the roulette <a class="wiki_link" href="/Chromatic%20pair">Chromatic pair</a>.<br />
<br />
Other scales include very improper (incomplete) versions of porcupine, negri, etc.<br />


<table class="wiki_table">
    <tr>
        <th colspan="7">Generator<br />
</th>
        <th>Cents<br />
</th>
        <th>Comments<br />
</th>
    </tr>
    <tr>
        <td>0\1<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>0<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>1\8<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>150<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>2\15<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>160<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>3\22<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>163.64<br />
</td>
        <td style="text-align: center;">Porcupine is around here<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>1\7<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>171.43<br />
</td>
        <td style="text-align: center;">Boundary of propriety<br />
(generators larger than this are proper)<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>5\34<br />
</td>
        <td><br />
</td>
        <td>176.47<br />
</td>
        <td style="text-align: center;">Tetracot is around here<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>4\27<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>177.78<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>3\20<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>180<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>8\53<br />
</td>
        <td><br />
</td>
        <td>181.13<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>13\86<br />
</td>
        <td>181.40<br />
</td>
        <td style="text-align: center;">Unnamed golden temperament (discussed in <a class="wiki_link_ext" href="http://launch.groups.yahoo.com/group/tuning/message/100254" rel="nofollow">this thread</a>)<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>5\33<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>181.82<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>2\13<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>184.62<br />
</td>
        <td style="text-align: center;">Optimum rank range (L/s=3/2)<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>3\19<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>189.47<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>4\25<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>192<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>5\31<br />
</td>
        <td><br />
</td>
        <td>193.55<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>6\37<br />
</td>
        <td>194.59<br />
</td>
        <td style="text-align: center;">Luna/Hemithird/Roulette is around here: <a class="wiki_link" href="/roulette6">roulette6</a><br />
</td>
    </tr>
    <tr>
        <td>1\6<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>200<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
</table>

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