4L 1s: Difference between revisions

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Wikispaces>keenanpepper
**Imported revision 279912480 - Original comment: **
Wikispaces>guest
**Imported revision 324256996 - 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>2011-11-28 19:36:37 UTC</tt>.<br>
: This revision was by author [[User:guest|guest]] and made on <tt>2012-04-23 13:49:10 UTC</tt>.<br>
: The original revision id was <tt>279912480</tt>.<br>
: The original revision id was <tt>324256996</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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|| 1\5 ||  ||  ||  ||  ||  || 240 || 240 || 0 ||=  ||
|| 1\5 ||  ||  ||  ||  ||  || 240 || 240 || 0 ||=  ||
||  ||  ||  ||  || 5\24 ||  || 250 || 200 || 50 ||= Semiphore is around here ||
||  ||  ||  ||  || 5\24 ||  || 250 || 200 || 50 ||= Semiphore is around here ||
||  ||  ||  || 4\19 ||  ||  || 252.63 ||   ||   ||=  ||
||  ||  ||  || 4\19 ||  ||  || 252.63 || 189.47 || 63.16 ||=  ||
||  ||  || 3\14 ||  ||  ||  || 257.14 ||   ||   ||=  ||
||  ||  || 3\14 ||  ||  ||  || 257.14 || 171.43 || 85.71 ||=  ||
||  ||  ||  ||  || 8\37 ||  || 259.46 ||   ||   ||=  ||
||  ||  ||  ||  || 8\37 ||  || 259.46 || 162.16 || 97.3 ||=  ||
||  ||  ||  ||  ||  ||  || 1200/(3+phi) ||   ||   ||= Golden [[bug]] / golden [[superpelog]] ||
||  ||  ||  ||  ||  ||  || 1200/(3+phi) || 160.6 || 99.25 ||= Golden [[bug]] / golden [[superpelog]] ||
||  ||  ||  || 5\23 ||  ||  || 260.87 ||   ||   ||=  ||
||  ||  ||  || 5\23 ||  ||  || 260.87 || 156.52 || 104.35 ||=  ||
||  || 2\9 ||  ||  ||  ||  || 266.67 || 133.33 || 133.33 ||= Optimum rank range (L/s=2/1) bug ||
||  || 2\9 ||  ||  ||  ||  || 266.67 || 133.33 || 133.33 ||= Optimum rank range (L/s=2/1) bug ||
||  ||  ||  ||  || 7\31 ||  || 270.97 ||   ||   ||=  ||
||  ||  ||  ||  || 7\31 ||  || 270.97 || 116.13 || 154.84 ||=  ||
||  ||  ||  ||  ||  || 12\53 || 271.70 ||   ||   ||= Orwell is around here ||
||  ||  ||  ||  ||  || 12\53 || 271.70 || 113.21 || 158.49 ||= Orwell is around here ||
||  ||  ||  || 5\22 ||  ||  || 272.73 ||   ||   ||=  ||
||  ||  ||  || 5\22 ||  ||  || 272.73 || 109.09 || 163.64 ||=  ||
||  ||  || 3\13 ||  ||  ||  || 276.92 || 92.31 || 184.62 ||=  ||
||  ||  || 3\13 ||  ||  ||  || 276.92 || 92.31 || 184.62 ||=  ||
|| 1\4 ||  ||  ||  ||  ||  || 300 || 0 || 300 ||=  ||</pre></div>
|| 1\4 ||  ||  ||  ||  ||  || 300 || 0 || 300 ||=  ||</pre></div>
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         &lt;td&gt;252.63&lt;br /&gt;
         &lt;td&gt;252.63&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&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&gt;63.16&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&gt;257.14&lt;br /&gt;
         &lt;td&gt;257.14&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;171.43&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;85.71&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&gt;259.46&lt;br /&gt;
         &lt;td&gt;259.46&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;162.16&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;97.3&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&gt;1200/(3+phi)&lt;br /&gt;
         &lt;td&gt;1200/(3+phi)&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;160.6&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;99.25&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;Golden &lt;a class="wiki_link" href="/bug"&gt;bug&lt;/a&gt; / golden &lt;a class="wiki_link" href="/superpelog"&gt;superpelog&lt;/a&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Golden &lt;a class="wiki_link" href="/bug"&gt;bug&lt;/a&gt; / golden &lt;a class="wiki_link" href="/superpelog"&gt;superpelog&lt;/a&gt;&lt;br /&gt;
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         &lt;td&gt;260.87&lt;br /&gt;
         &lt;td&gt;260.87&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;156.52&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;104.35&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&gt;270.97&lt;br /&gt;
         &lt;td&gt;270.97&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;116.13&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;154.84&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&gt;271.70&lt;br /&gt;
         &lt;td&gt;271.70&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;113.21&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;158.49&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;Orwell is around here&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Orwell is around here&lt;br /&gt;
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         &lt;td&gt;272.73&lt;br /&gt;
         &lt;td&gt;272.73&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;109.09&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;163.64&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 13:49, 23 April 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 guest and made on 2012-04-23 13:49:10 UTC.
The original revision id was 324256996.
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:

The scale with the lowest harmonic entropy for this [[MOSScales|MOS]] pattern is [[semiphore]], in which two generators make a 4/3. The other interesting scale is [[Semicomma family|orwell]], in which the generator is approximately 7/6 and three of them make an 8/5.

All scales of this form are necessarily proper (because there is only one small step).
||||||||||||~ Generator ||~ Cents ||~ s ||~ L-s ||~ Comments ||
|| 1\5 ||   ||   ||   ||   ||   || 240 || 240 || 0 ||=   ||
||   ||   ||   ||   || 5\24 ||   || 250 || 200 || 50 ||= Semiphore is around here ||
||   ||   ||   || 4\19 ||   ||   || 252.63 || 189.47 || 63.16 ||=   ||
||   ||   || 3\14 ||   ||   ||   || 257.14 || 171.43 || 85.71 ||=   ||
||   ||   ||   ||   || 8\37 ||   || 259.46 || 162.16 || 97.3 ||=   ||
||   ||   ||   ||   ||   ||   || 1200/(3+phi) || 160.6 || 99.25 ||= Golden [[bug]] / golden [[superpelog]] ||
||   ||   ||   || 5\23 ||   ||   || 260.87 || 156.52 || 104.35 ||=   ||
||   || 2\9 ||   ||   ||   ||   || 266.67 || 133.33 || 133.33 ||= Optimum rank range (L/s=2/1) bug ||
||   ||   ||   ||   || 7\31 ||   || 270.97 || 116.13 || 154.84 ||=   ||
||   ||   ||   ||   ||   || 12\53 || 271.70 || 113.21 || 158.49 ||= Orwell is around here ||
||   ||   ||   || 5\22 ||   ||   || 272.73 || 109.09 || 163.64 ||=   ||
||   ||   || 3\13 ||   ||   ||   || 276.92 || 92.31 || 184.62 ||=   ||
|| 1\4 ||   ||   ||   ||   ||   || 300 || 0 || 300 ||=   ||

Original HTML content:

<html><head><title>4L 1s</title></head><body>The scale with the lowest harmonic entropy for this <a class="wiki_link" href="/MOSScales">MOS</a> pattern is <a class="wiki_link" href="/semiphore">semiphore</a>, in which two generators make a 4/3. The other interesting scale is <a class="wiki_link" href="/Semicomma%20family">orwell</a>, in which the generator is approximately 7/6 and three of them make an 8/5.<br />
<br />
All scales of this form are necessarily proper (because there is only one small step).<br />


<table class="wiki_table">
    <tr>
        <th colspan="6">Generator<br />
</th>
        <th>Cents<br />
</th>
        <th>s<br />
</th>
        <th>L-s<br />
</th>
        <th>Comments<br />
</th>
    </tr>
    <tr>
        <td>1\5<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>240<br />
</td>
        <td>240<br />
</td>
        <td>0<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>5\24<br />
</td>
        <td><br />
</td>
        <td>250<br />
</td>
        <td>200<br />
</td>
        <td>50<br />
</td>
        <td style="text-align: center;">Semiphore is around here<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>4\19<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>252.63<br />
</td>
        <td>189.47<br />
</td>
        <td>63.16<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>3\14<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>257.14<br />
</td>
        <td>171.43<br />
</td>
        <td>85.71<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>8\37<br />
</td>
        <td><br />
</td>
        <td>259.46<br />
</td>
        <td>162.16<br />
</td>
        <td>97.3<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>1200/(3+phi)<br />
</td>
        <td>160.6<br />
</td>
        <td>99.25<br />
</td>
        <td style="text-align: center;">Golden <a class="wiki_link" href="/bug">bug</a> / golden <a class="wiki_link" href="/superpelog">superpelog</a><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>5\23<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>260.87<br />
</td>
        <td>156.52<br />
</td>
        <td>104.35<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>2\9<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>266.67<br />
</td>
        <td>133.33<br />
</td>
        <td>133.33<br />
</td>
        <td style="text-align: center;">Optimum rank range (L/s=2/1) bug<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>7\31<br />
</td>
        <td><br />
</td>
        <td>270.97<br />
</td>
        <td>116.13<br />
</td>
        <td>154.84<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>12\53<br />
</td>
        <td>271.70<br />
</td>
        <td>113.21<br />
</td>
        <td>158.49<br />
</td>
        <td style="text-align: center;">Orwell is around here<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>5\22<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>272.73<br />
</td>
        <td>109.09<br />
</td>
        <td>163.64<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>3\13<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>276.92<br />
</td>
        <td>92.31<br />
</td>
        <td>184.62<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td>1\4<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>300<br />
</td>
        <td>0<br />
</td>
        <td>300<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
</table>

</body></html>