1L 9s: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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

: This revision was by author [[User:~~JosephRuhf~~|~~JosephRuhf~~]] and made on <tt>~~2012~~-11-~~25 23~~:36:56 UTC</tt>.

: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2013-01-20 16:18:56 UTC</tt>.

: The original revision id was <tt>~~385932876~~</tt>.

: The original revision id was <tt>399959628</tt>.

: The revision comment was: <tt></tt>

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

<h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">This MOS, generated by any interval up to a diatonic semitone of 1/10edo (120 cents), is called the "Happy" decatonic scale. It is the simplest MOS which may be used as a complete version of Miracle temperamet, which is also its harmonic entropy minimum.

|| 0/1 || || || || || 0 || ||

||||||||||~ Generator

|| || || || || 1/14 || 85 5/7 || ||

(octave fraction) ||~ Generator

|| || || || 1/13 || || 92 4/13 || L/s=4:

(cents) ||~ Comments ||

~~generators smaller than this are "impractical"~~ ||

|| 0/1 || || || || || 0 ||= ||

|| || || || || 2/25 || 96 || ||

|| || || || || 1/14 || 85 5/7 ||= ||

|| || || 1/12 || || || 100 || L/s=3:

|| || || || 1/13 || || 92 4/13 ||= L/s = 4 ||

~~generators smaller than this may be considered "impractical"~~ ||

|| || || || || 2/25 || 96 ||= ||

|| || || || || 3/35 || 102 6/7 || ||

|| || || 1/12 || || || 100 ||= L/s = 3 ||

|| || || || 2/23 || || 104.347826 || ||

|| || || || || 3/35 || 102 6/7 ||= ||

|| || || || || 3/34 || 105.882353 || ||

|| || || || 2/23 || || 104.347826 ||= ||

|| || 1/11 || || || || 109 1/11 || ||

|| || || || || 3/34 || 105.882353 ||= ||

|| || || || || 4/43 || 111.627907 || ||

|| || 1/11 || || || || 109 1/11 ||= ||

|| || || || 3/32 || || 112.5 || ||

|| || || || || 4/43 || 111.627907 ||= ||

|| || || || || 5/53 || 113.207547 || ||

|| || || || 3/32 || || 112.5 ||= ||

|| || || 2/21 || || || 114 2/7 || ||

|| || || || || 5/53 || 113.207547 ||= ||

|| || || || || 5/52 || 115 5/13 || ||

|| || || 2/21 || || || 114 2/7 ||= ||

|| || || || 3/31 || || 116.129032 || ||

|| || || || || 5/52 || 115 5/13 ||= ||

|| || || || || 4/41 || 117 3/41 || ||

|| || || || 3/31 || || 116.129032 ||= ||

|| 1/10 || || || || || 120 || ||</pre></div>

|| || || || || 4/41 || 117 3/41 ||= ||

|| 1/10 || || || || || 120 ||= ||</pre></div>

<h4>Original HTML content:</h4>

<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>1L 9s</title></head><body>This MOS, generated by any interval up to a diatonic semitone of 1/10edo (120 cents), is called the &quot;Happy&quot; decatonic scale. It is the simplest MOS which may be used as a complete version of Miracle temperamet, which is also its harmonic entropy minimum.

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<tr>

<th colspan="5">Generator

(octave fraction)

</th>

<th>Generator

(cents)

</th>

<th>Comments

</th>

</tr>

<tr>

<td>0/1

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<td>0

</td>

<td>

</td>

</tr>

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<td>85 5/7

</td>

<td>

</td>

</tr>

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<td>92 4/13

</td>

<td>L/s=4~~: ~~

<td style="text-align: center;">L/s = 4

~~generators smaller than this are &quot;impractical&quot;~~

</td>

</tr>

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<td>96

</td>

<td>

</td>

</tr>

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<td>100

</td>

<td>L/s=3~~: ~~

<td style="text-align: center;">L/s = 3

~~generators smaller than this may be considered &quot;impractical&quot;~~

</td>

</tr>

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<td>102 6/7

</td>

<td>

</td>

</tr>

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<td>104.347826

</td>

<td>

</td>

</tr>

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<td>105.882353

</td>

<td>

</td>

</tr>

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<td>109 1/11

</td>

<td>

</td>

</tr>

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<td>111.627907

</td>

<td>

</td>

</tr>

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<td>112.5

</td>

<td>

</td>

</tr>

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<td>113.207547

</td>

<td>

</td>

</tr>

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<td>114 2/7

</td>

<td>

</td>

</tr>

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<td>115 5/13

</td>

<td>

</td>

</tr>

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<td>116.129032

</td>

<td>

</td>

</tr>

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<td>117 3/41

</td>

<td>

</td>

</tr>

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<td>120

</td>

<td>

</td>

</tr>

@@ 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>2012-11-25 23:36:56 UTC</tt>.<br>
+: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2013-01-20 16:18:56 UTC</tt>.<br>
-: The original revision id was <tt>385932876</tt>.<br>
+: The original revision id was <tt>399959628</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>
 <h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">This MOS, generated by any interval up to a diatonic semitone of 1/10edo (120 cents), is called the "Happy" decatonic scale. It is the simplest MOS which may be used as a complete version of Miracle temperamet, which is also its harmonic entropy minimum.
-|| 0/1 ||   ||   ||   ||   || 0 ||   ||
+||||||||||~ Generator
-||   ||   ||   ||   || 1/14 || 85 5/7 ||   ||
+(octave fraction) ||~ Generator
-||   ||   ||   || 1/13 ||   || 92 4/13 || L/s=4:
+(cents) ||~ Comments ||
-generators smaller than this are "impractical" ||
+|| 0/1 ||   ||   ||   ||   || 0 ||=   ||
-||   ||   ||   ||   || 2/25 || 96 ||   ||
+||   ||   ||   ||   || 1/14 || 85 5/7 ||=   ||
-||   ||   || 1/12 ||   ||   || 100 || L/s=3:
+||   ||   ||   || 1/13 ||   || 92 4/13 ||= L/s = 4 ||
-generators smaller than this may be considered "impractical" ||
+||   ||   ||   ||   || 2/25 || 96 ||=   ||
-||   ||   ||   ||   || 3/35 || 102 6/7 ||   ||
+||   ||   || 1/12 ||   ||   || 100 ||= L/s = 3 ||
-||   ||   ||   || 2/23 ||   || 104.347826 ||   ||
+||   ||   ||   ||   || 3/35 || 102 6/7 ||=   ||
-||   ||   ||   ||   || 3/34 || 105.882353 ||   ||
+||   ||   ||   || 2/23 ||   || 104.347826 ||=   ||
-||   || 1/11 ||   ||   ||   || 109 1/11 ||   ||
+||   ||   ||   ||   || 3/34 || 105.882353 ||=   ||
-||   ||   ||   ||   || 4/43 || 111.627907 ||   ||
+||   || 1/11 ||   ||   ||   || 109 1/11 ||=   ||
-||   ||   ||   || 3/32 ||   || 112.5 ||   ||
+||   ||   ||   ||   || 4/43 || 111.627907 ||=   ||
-||   ||   ||   ||   || 5/53 || 113.207547 ||   ||
+||   ||   ||   || 3/32 ||   || 112.5 ||=   ||
-||   ||   || 2/21 ||   ||   || 114 2/7 ||   ||
+||   ||   ||   ||   || 5/53 || 113.207547 ||=   ||
-||   ||   ||   ||   || 5/52 || 115 5/13 ||   ||
+||   ||   || 2/21 ||   ||   || 114 2/7 ||=   ||
-||   ||   ||   || 3/31 ||   || 116.129032 ||   ||
+||   ||   ||   ||   || 5/52 || 115 5/13 ||=   ||
-||   ||   ||   ||   || 4/41 || 117 3/41 ||   ||
+||   ||   ||   || 3/31 ||   || 116.129032 ||=   ||
-|| 1/10 ||   ||   ||   ||   || 120 ||   ||</pre></div>
+||   ||   ||   ||   || 4/41 || 117 3/41 ||=   ||
+|| 1/10 ||   ||   ||   ||   || 120 ||=   ||</pre></div>
 <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 9s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;This MOS, generated by any interval up to a diatonic semitone of 1/10edo (120 cents), is called the &amp;quot;Happy&amp;quot; decatonic scale. It is the simplest MOS which may be used as a complete version of Miracle temperamet, which is also its harmonic entropy minimum.&lt;br /&gt;
@@ Line 31: / Line 32: @@
 &lt;table class="wiki_table"&gt;
+    &lt;tr&gt;
+        &lt;th colspan="5"&gt;Generator&lt;br /&gt;
+(octave fraction)&lt;br /&gt;
+&lt;/th&gt;
+        &lt;th&gt;Generator&lt;br /&gt;
+(cents)&lt;br /&gt;
+&lt;/th&gt;
+        &lt;th&gt;Comments&lt;br /&gt;
+&lt;/th&gt;
+    &lt;/tr&gt;
      &lt;tr&gt;
          &lt;td&gt;0/1&lt;br /&gt;
@@ Line 44: / Line 55: @@
          &lt;td&gt;0&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 60: / Line 71: @@
          &lt;td&gt;85 5/7&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 76: / Line 87: @@
          &lt;td&gt;92 4/13&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;L/s=4:&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;L/s = 4&lt;br /&gt;
-generators smaller than this are &amp;quot;impractical&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 93: / Line 103: @@
          &lt;td&gt;96&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 109: / Line 119: @@
          &lt;td&gt;100&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;L/s=3:&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;L/s = 3&lt;br /&gt;
-generators smaller than this may be considered &amp;quot;impractical&amp;quot;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 126: / Line 135: @@
          &lt;td&gt;102 6/7&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 142: / Line 151: @@
          &lt;td&gt;104.347826&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 158: / Line 167: @@
          &lt;td&gt;105.882353&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 174: / Line 183: @@
          &lt;td&gt;109 1/11&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 190: / Line 199: @@
          &lt;td&gt;111.627907&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 206: / Line 215: @@
          &lt;td&gt;112.5&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 222: / Line 231: @@
          &lt;td&gt;113.207547&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 238: / Line 247: @@
          &lt;td&gt;114 2/7&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 254: / Line 263: @@
          &lt;td&gt;115 5/13&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 270: / Line 279: @@
          &lt;td&gt;116.129032&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 286: / Line 295: @@
          &lt;td&gt;117 3/41&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 302: / Line 311: @@
          &lt;td&gt;120&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;