1L 8s: Difference between revisions

Revision as of 15:24, 23 May 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 2015-05-23 15:24:59 UTC.

The original revision id was 551971800.

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, with a generator of up to 1/9edo (133 1/3 cents), represents temperaments like Miracle (2<L<3 s=1) and Negri (3<L<4 s=2). Of all the temperaments it represents, the harmonic entropy minimum is the one where the scale is generated by an interval near 3/28edo (L near 4 s=3).
|| 0/1 ||   ||   ||   ||   || 0 ||=   ||=   ||
||   ||   ||   ||   || 1/13 || 92 4/13 ||=   ||=   ||
||   ||   ||   || 1/12 ||   || 100 ||=   ||= L/s = 4 ||
||   ||   ||   ||   || 2/23 || 104.347826 ||=   ||=   ||
||   ||   ||   ||   ||   || 1200/(8+pi)) ||   ||   ||
||   ||   || 1/11 ||   ||   || 109 1/11 ||= Miracle generators from here... ||= L/s = 3 ||
||   ||   ||   ||   ||   || 1200/(8+e) ||   ||   ||
||   ||   ||   ||   || 3/32 || 112.5 ||=   ||=   ||
||   ||   ||   || 2/21 ||   || 114 2/7 ||=   ||=   ||
||   ||   ||   ||   || 3/31 || 116.129032 ||=   ||=   ||
||   || 1/10 ||   ||   ||   || 120 ||= ...to here;
Negri generators from here... ||= Boundary of propriety:
generators larger than this are proper ||
||   ||   ||   ||   || 4/39 || 123 1/13 ||=   ||=   ||
||   ||   ||   || 3/29 ||   || 124.137931 ||=   ||=   ||
||   ||   ||   ||   || 5/48 || 125 ||=   ||=   ||
||   ||   || 2/19 ||   ||   || 126.315789 ||= ...to here ||=   ||
||   ||   ||   ||   || 5/47 || 127.659574 ||=   ||=   ||
||   ||   ||   || 3/28 ||   || 128 4/7 ||=   ||=   ||
||   ||   ||   ||   || 4/37 || 129 27/37 ||=   ||=   ||
|| 1/9 ||   ||   ||   ||   || 133 1/3 ||=   ||=   ||

Original HTML content:

<html><head><title>1L 8s</title></head><body>This MOS, with a generator of up to 1/9edo (133 1/3 cents), represents temperaments like Miracle (2&lt;L&lt;3 s=1) and Negri (3&lt;L&lt;4 s=2). Of all the temperaments it represents, the harmonic entropy minimum is the one where the scale is generated by an interval near 3/28edo (L near 4 s=3).<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>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>1/13<br />
</td>
        <td>92 4/13<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>1/12<br />
</td>
        <td><br />
</td>
        <td>100<br />
</td>
        <td style="text-align: center;"><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>2/23<br />
</td>
        <td>104.347826<br />
</td>
        <td style="text-align: center;"><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/(8+pi))<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>1/11<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>109 1/11<br />
</td>
        <td style="text-align: center;">Miracle generators from here...<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/(8+e)<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>3/32<br />
</td>
        <td>112.5<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>2/21<br />
</td>
        <td><br />
</td>
        <td>114 2/7<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>3/31<br />
</td>
        <td>116.129032<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>1/10<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>120<br />
</td>
        <td style="text-align: center;">...to here;<br />
Negri generators from here...<br />
</td>
        <td style="text-align: center;">Boundary of propriety:<br />
generators larger than this are proper<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>4/39<br />
</td>
        <td>123 1/13<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>3/29<br />
</td>
        <td><br />
</td>
        <td>124.137931<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>5/48<br />
</td>
        <td>125<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>2/19<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>126.315789<br />
</td>
        <td style="text-align: center;">...to here<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>5/47<br />
</td>
        <td>127.659574<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>3/28<br />
</td>
        <td><br />
</td>
        <td>128 4/7<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>4/37<br />
</td>
        <td>129 27/37<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td>1/9<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>133 1/3<br />
</td>
        <td style="text-align: center;"><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>2015-02-11 14:49:20 UTC</tt>.<br>
+: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-05-23 15:24:59 UTC</tt>.<br>
-: The original revision id was <tt>540647890</tt>.<br>
+: The original revision id was <tt>551971800</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: @@
 ||   ||   ||   || 1/12 ||   || 100 ||=   ||= L/s = 4 ||
 ||   ||   ||   ||   || 2/23 || 104.347826 ||=   ||=   ||
-||   ||   ||   ||   ||   || 1200/(7+3*2^(1/75)) ||   ||   ||
+||   ||   ||   ||   ||   || 1200/(8+pi)) ||   ||   ||
 ||   ||   || 1/11 ||   ||   || 109 1/11 ||= Miracle generators from here... ||= L/s = 3 ||
-||   ||   ||   ||   ||   || 1200/(7/3*2^(1/75)) ||   ||   ||
+||   ||   ||   ||   ||   || 1200/(8+e) ||   ||   ||
 ||   ||   ||   ||   || 3/32 || 112.5 ||=   ||=   ||
 ||   ||   ||   || 2/21 ||   || 114 2/7 ||=   ||=   ||
@@ Line 116: / Line 116: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1200/(7+3*2^(1/75))&lt;br /&gt;
+         &lt;td&gt;1200/(8+pi))&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 152: / Line 152: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;1200/(7/3*2^(1/75))&lt;br /&gt;
+         &lt;td&gt;1200/(8+e)&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;

1L 8s: Difference between revisions

Revision as of 15:24, 23 May 2015

IMPORTED REVISION FROM WIKISPACES

Original Wikitext content:

Original HTML content:

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