1L 9s: Difference between revisions

Revision as of 10:53, 6 November 2015

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 2015-11-06 10:53:18 UTC.

The original revision id was 565454719.

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 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.
||||||||||~ Generator
(octave fraction) ||~ Generator
(cents) ||~ Comments ||
|| 0\1 ||   ||   ||   ||   || 0 ||=   ||
||   ||   ||   ||   || 1\14 || 85.714 ||=   ||
||   ||   ||   || 1\13 ||   || 92.308 ||= L/s = 4 ||
||   ||   ||   ||   || 2\25 || 96 ||=   ||
||   ||   ||   ||   ||   || 1200/(9+pi) ||   ||
||   ||   || 1\12 ||   ||   || 100 ||= L/s = 3 ||
||   ||   ||   ||   ||   || 1200/(9+e) ||   ||
||   ||   ||   ||   || 3\35 || 102.857 ||=   ||
||   ||   ||   ||   ||   || 1200/(10+phi) ||   ||
||   ||   ||   || 2\23 ||   || 104.348 ||=   ||
||   ||   ||   ||   || 3\34 || 105.882 ||=   ||
||   || 1\11 ||   ||   ||   || 109.091 ||=   ||
||   ||   ||   ||   ||   || 1200/(9+sqrt(3)) ||   ||
||   ||   ||   ||   || 4\43 || 111.628 ||=   ||
||   ||   ||   || 3\32 ||   || 112.5 ||=   ||
||   ||   ||   ||   ||   || 1200/(9+phi) ||   ||
||   ||   ||   ||   || 5\53 || 113.2075 ||=   ||
||   ||   ||   ||   ||   || 1200/(9+pi/2) ||   ||
||   ||   || 2\21 ||   ||   || 114.286 ||=   ||
||   ||   ||   ||   || 5\52 || 115.385 ||=   ||
||   ||   ||   || 3\31 ||   || 116.129 ||=   ||
||   ||   ||   ||   || 4\41 || 117.073 ||=   ||
|| 1\10 ||   ||   ||   ||   || 120 ||=   ||

Original HTML content:

<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.<br />


<table class="wiki_table">
    <tr>
        <th colspan="5">Generator<br />
(octave fraction)<br />
</th>
        <th>Generator<br />
(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>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>1\14<br />
</td>
        <td>85.714<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>1\13<br />
</td>
        <td><br />
</td>
        <td>92.308<br />
</td>
        <td style="text-align: center;">L/s = 4<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>2\25<br />
</td>
        <td>96<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>1200/(9+pi)<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>1\12<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>100<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>1200/(9+e)<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>3\35<br />
</td>
        <td>102.857<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>1200/(10+phi)<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>2\23<br />
</td>
        <td><br />
</td>
        <td>104.348<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\34<br />
</td>
        <td>105.882<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>1\11<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>109.091<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>1200/(9+sqrt(3))<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>4\43<br />
</td>
        <td>111.628<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>3\32<br />
</td>
        <td><br />
</td>
        <td>112.5<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>1200/(9+phi)<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>5\53<br />
</td>
        <td>113.2075<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>1200/(9+pi/2)<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>2\21<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>114.286<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\52<br />
</td>
        <td>115.385<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>3\31<br />
</td>
        <td><br />
</td>
        <td>116.129<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\41<br />
</td>
        <td>117.073<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td>1\10<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>120<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>2015-05-23 16:07:39 UTC</tt>.<br>
+: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-11-06 10:53:18 UTC</tt>.<br>
-: The original revision id was <tt>551973566</tt>.<br>
+: The original revision id was <tt>565454719</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 11: / Line 11: @@
 (cents) ||~ Comments ||
 || 0\1 ||   ||   ||   ||   || 0 ||=   ||
-||   ||   ||   ||   || 1\14 || 85 5/7 ||=   ||
+||   ||   ||   ||   || 1\14 || 85.714 ||=   ||
-||   ||   ||   || 1\13 ||   || 92 4/13 ||= L/s = 4 ||
+||   ||   ||   || 1\13 ||   || 92.308 ||= L/s = 4 ||
 ||   ||   ||   ||   || 2\25 || 96 ||=   ||
 ||   ||   ||   ||   ||   || 1200/(9+pi) ||   ||
 ||   ||   || 1\12 ||   ||   || 100 ||= L/s = 3 ||
 ||   ||   ||   ||   ||   || 1200/(9+e) ||   ||
-||   ||   ||   ||   || 3\35 || 102 6/7 ||=   ||
+||   ||   ||   ||   || 3\35 || 102.857 ||=   ||
-||   ||   ||   || 2\23 ||   || 104.347826 ||=   ||
+||   ||   ||   ||   ||   || 1200/(10+phi) ||   ||
-||   ||   ||   ||   || 3\34 || 105.882353 ||=   ||
+||   ||   ||   || 2\23 ||   || 104.348 ||=   ||
-||   || 1\11 ||   ||   ||   || 109 1/11 ||=   ||
+||   ||   ||   ||   || 3\34 || 105.882 ||=   ||
-||   ||   ||   ||   || 4\43 || 111.627907 ||=   ||
+||   || 1\11 ||   ||   ||   || 109.091 ||=   ||
+||   ||   ||   ||   ||   || 1200/(9+sqrt(3)) ||   ||
+||   ||   ||   ||   || 4\43 || 111.628 ||=   ||
 ||   ||   ||   || 3\32 ||   || 112.5 ||=   ||
-||   ||   ||   ||   || 5\53 || 113.207547 ||=   ||
+||   ||   ||   ||   ||   || 1200/(9+phi) ||   ||
-||   ||   || 2\21 ||   ||   || 114 2/7 ||=   ||
+||   ||   ||   ||   || 5\53 || 113.2075 ||=   ||
-||   ||   ||   ||   || 5\52 || 115 5/13 ||=   ||
+||   ||   ||   ||   ||   || 1200/(9+pi/2) ||   ||
-||   ||   ||   || 3\31 ||   || 116.129032 ||=   ||
+||   ||   || 2\21 ||   ||   || 114.286 ||=   ||
-||   ||   ||   ||   || 4\41 || 117 3/41 ||=   ||
+||   ||   ||   ||   || 5\52 || 115.385 ||=   ||
+||   ||   ||   || 3\31 ||   || 116.129 ||=   ||
+||   ||   ||   ||   || 4\41 || 117.073 ||=   ||
 || 1\10 ||   ||   ||   ||   || 120 ||=   ||</pre></div>
 <h4>Original HTML content:</h4>
@@ Line 71: / Line 75: @@
          &lt;td&gt;1\14&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;85 5/7&lt;br /&gt;
+         &lt;td&gt;85.714&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;br /&gt;
@@ Line 87: / Line 91: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;92 4/13&lt;br /&gt;
+         &lt;td&gt;92.308&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;L/s = 4&lt;br /&gt;
@@ Line 167: / Line 171: @@
          &lt;td&gt;3\35&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;102 6/7&lt;br /&gt;
+         &lt;td&gt;102.857&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&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;1200/(10+phi)&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 183: / Line 203: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;104.347826&lt;br /&gt;
+         &lt;td&gt;104.348&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;br /&gt;
@@ Line 199: / Line 219: @@
          &lt;td&gt;3\34&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;105.882353&lt;br /&gt;
+         &lt;td&gt;105.882&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;br /&gt;
@@ Line 215: / Line 235: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;109 1/11&lt;br /&gt;
+         &lt;td&gt;109.091&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&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;1200/(9+sqrt(3))&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 231: / Line 267: @@
          &lt;td&gt;4\43&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;111.627907&lt;br /&gt;
+         &lt;td&gt;111.628&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;br /&gt;
@@ Line 250: / Line 286: @@
 &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;1200/(9+phi)&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 263: / Line 315: @@
          &lt;td&gt;5\53&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;113.207547&lt;br /&gt;
+         &lt;td&gt;113.2075&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&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;1200/(9+pi/2)&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 279: / Line 347: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;114 2/7&lt;br /&gt;
+         &lt;td&gt;114.286&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;br /&gt;
@@ Line 295: / Line 363: @@
          &lt;td&gt;5\52&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;115 5/13&lt;br /&gt;
+         &lt;td&gt;115.385&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;br /&gt;
@@ Line 311: / Line 379: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;116.129032&lt;br /&gt;
+         &lt;td&gt;116.129&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;br /&gt;
@@ Line 327: / Line 395: @@
          &lt;td&gt;4\41&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;117 3/41&lt;br /&gt;
+         &lt;td&gt;117.073&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;&lt;br /&gt;

1L 9s: Difference between revisions

Revision as of 10:53, 6 November 2015

IMPORTED REVISION FROM WIKISPACES

Original Wikitext content:

Original HTML content:

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