4L 1s: Difference between revisions

Revision as of 12:06, 9 November 2015

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This revision was by author JosephRuhf and made on 2015-11-09 12:06:53 UTC.

The original revision id was 565736859.

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 [[semaphore]], 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 ||= Semaphore is around here ||
||   ||   ||   || 4\19 ||   ||   || 252.63 || 189.47 || 63.16 ||=   ||
||   ||   || 3\14 ||   ||   ||   || 257.14 || 171.43 || 85.71 ||=   ||
||   ||   ||   ||   ||   ||   || 258.81 || 164.76 || 92.05 ||   ||
||   ||   ||   ||   || 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 ||=   ||
||   ||   ||   ||   ||   ||   || 262.16 || 151.36 || 110.8 ||   ||
||   || 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 ||=   ||
||   ||   ||   ||   ||   ||   || 274.73 || 101.07 || 173.66 ||= <span style="display: block; text-align: center;">L/s = e</span> ||
||   ||   || 3\13 ||   ||   ||   || 276.92 || 92.31 || 184.62 ||= L/s = 3 ||
||   ||   ||   ||   ||   ||   || 277.89 || 88.45 || 189.43 ||= <span style="display: block; text-align: center;">L/s = pi</span> ||
||   ||   ||   || 4\17 ||   ||   || 282.35 || 70.59 || 211.76 ||= L/s = 4 ||
|| 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="/semaphore">semaphore</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;">Semaphore 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><br />
</td>
        <td><br />
</td>
        <td>258.81<br />
</td>
        <td>164.76<br />
</td>
        <td>92.05<br />
</td>
        <td><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><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>262.16<br />
</td>
        <td>151.36<br />
</td>
        <td>110.8<br />
</td>
        <td><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><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>274.73<br />
</td>
        <td>101.07<br />
</td>
        <td>173.66<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">L/s = e</span><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;">L/s = 3<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>277.89<br />
</td>
        <td>88.45<br />
</td>
        <td>189.43<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">L/s = pi</span><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>4\17<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>282.35<br />
</td>
        <td>70.59<br />
</td>
        <td>211.76<br />
</td>
        <td style="text-align: center;">L/s = 4<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>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-05-22 13:10:02 UTC</tt>.<br>
+: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-11-09 12:06:53 UTC</tt>.<br>
-: The original revision id was <tt>551904178</tt>.<br>
+: The original revision id was <tt>565736859</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>
@@ Line 14: / Line 14: @@
 ||   ||   ||   || 4\19 ||   ||   || 252.63 || 189.47 || 63.16 ||=   ||
 ||   ||   || 3\14 ||   ||   ||   || 257.14 || 171.43 || 85.71 ||=   ||
+||   ||   ||   ||   ||   ||   || 258.81 || 164.76 || 92.05 ||   ||
 ||   ||   ||   ||   || 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 ||=   ||
+||   ||   ||   ||   ||   ||   || 262.16 || 151.36 || 110.8 ||   ||
 ||   || 2\9 ||   ||   ||   ||   || 266.67 || 133.33 || 133.33 ||= Optimum rank range (L/s=2/1) bug ||
 ||   ||   ||   ||   || 7\31 ||   || 270.97 || 116.13 || 154.84 ||=   ||
@@ Line 131: / Line 133: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;258.81&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;164.76&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;92.05&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 197: / Line 221: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;262.16&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;151.36&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;110.8&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;

4L 1s: Difference between revisions

Revision as of 12:06, 9 November 2015

IMPORTED REVISION FROM WIKISPACES

Original Wikitext content:

Original HTML content:

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