1L 10s: Difference between revisions

Revision as of 18:41, 11 February 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 2015-02-11 18:41:26 UTC.

The original revision id was 540677812.

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 1/11edo (109 1/9 cents), achieves its simplest harmonic entropy minimum where two generators equal 9/8. The temperament which occupies this harmonic entropy minimum is called Ripple, but there are several lower (and more complex) harmonic entropy minima of note including (in descending order of generator height): Passion (6/5=+3 generators), Octacot (3/2=+8 generators), Nautilus (3/2=-6 generators) and Valentine (7/4=-3 generators).
|| 0/1 ||   ||   ||   ||   || 0 ||
||   ||   ||   ||   || 1/15 || 80 ||
||   ||   ||   || 1/14 ||   || 85 5/7 ||
||   ||   ||   ||   || 2/27 || 88 8/9 ||
||   ||   ||   ||   ||   || 1200/(10+3*2^(1/75)) ||
||   ||   || 1/13 ||   ||   || 92 4/13 ||
||   ||   ||   ||   ||   || 1200/(10+3/2^(1/75)) ||
||   ||   ||   ||   || 3/38 || 94.736842 ||
||   ||   ||   || 2/25 ||   || 96 ||
||   ||   ||   ||   || 3/37 || 97 11/37 ||
||   || 1/12 ||   ||   ||   || 100 ||
||   ||   ||   ||   || 4/47 || 102.12766 ||
||   ||   ||   || 3/35 ||   || 102 6/7 ||
||   ||   ||   ||   || 5/58 || 103.448276 ||
||   ||   || 2/23 ||   ||   || 104.347826 ||
||   ||   ||   ||   || 5/57 || 105.263158 ||
||   ||   ||   || 3/34 ||   || 105.882353 ||
||   ||   ||   ||   || 4/45 || 106 2/3 ||
|| 1/11 ||   ||   ||   ||   || 109 1/11 ||

Original HTML content:

<html><head><title>1L 10s</title></head><body>This MOS, generated by any interval up to a diatonic semitone of 1/11edo (109 1/9 cents), achieves its simplest harmonic entropy minimum where two generators equal 9/8. The temperament which occupies this harmonic entropy minimum is called Ripple, but there are several lower (and more complex) harmonic entropy minima of note including (in descending order of generator height): Passion (6/5=+3 generators), Octacot (3/2=+8 generators), Nautilus (3/2=-6 generators) and Valentine (7/4=-3 generators).<br />


<table class="wiki_table">
    <tr>
        <td>0/1<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>0<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>1/15<br />
</td>
        <td>80<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>1/14<br />
</td>
        <td><br />
</td>
        <td>85 5/7<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>2/27<br />
</td>
        <td>88 8/9<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>1200/(10+3*2^(1/75))<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>1/13<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>92 4/13<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>1200/(10+3/2^(1/75))<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>3/38<br />
</td>
        <td>94.736842<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>2/25<br />
</td>
        <td><br />
</td>
        <td>96<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>3/37<br />
</td>
        <td>97 11/37<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>1/12<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>100<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>4/47<br />
</td>
        <td>102.12766<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>3/35<br />
</td>
        <td><br />
</td>
        <td>102 6/7<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>5/58<br />
</td>
        <td>103.448276<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>2/23<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>104.347826<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>5/57<br />
</td>
        <td>105.263158<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>3/34<br />
</td>
        <td><br />
</td>
        <td>105.882353<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>4/45<br />
</td>
        <td>106 2/3<br />
</td>
    </tr>
    <tr>
        <td>1/11<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>109 1/11<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>2014-12-01 12:18:28 UTC</tt>.<br>
+: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-02-11 18:41:26 UTC</tt>.<br>
-: The original revision id was <tt>533337756</tt>.<br>
+: The original revision id was <tt>540677812</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: @@
 ||   ||   ||   || 1/14 ||   || 85 5/7 ||
 ||   ||   ||   ||   || 2/27 || 88 8/9 ||
+||   ||   ||   ||   ||   || 1200/(10+3*2^(1/75)) ||
 ||   ||   || 1/13 ||   ||   || 92 4/13 ||
+||   ||   ||   ||   ||   || 1200/(10+3/2^(1/75)) ||
 ||   ||   ||   ||   || 3/38 || 94.736842 ||
 ||   ||   ||   || 2/25 ||   || 96 ||
@@ Line 83: / Line 85: @@
 &lt;/td&gt;
          &lt;td&gt;88 8/9&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+3*2^(1/75))&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 97: / Line 113: @@
 &lt;/td&gt;
          &lt;td&gt;92 4/13&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+3/2^(1/75))&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;

1L 10s: Difference between revisions

Revision as of 18:41, 11 February 2015

IMPORTED REVISION FROM WIKISPACES

Original Wikitext content:

Original HTML content:

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