1L 8s: Difference between revisions
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Wikispaces>JosephRuhf **Imported revision 376807040 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 385887062 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | 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- | : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2012-11-25 20:46:26 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>385887062</tt>.<br> | ||
: The revision comment was: <tt></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> | 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> | <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, 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 of at least 3/28edo (L<= 4 s=3). | <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, 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 of at least 3/28edo (L<= 4 s=3). | ||
|| 0/1 || || || || || 0 || | || 0/1 || || || || || 0 ||= || | ||
|| || || || || 1/13 || 92 4/13 || | || || || || || 1/13 || 92 4/13 ||= || | ||
|| || || || 1/12 || || 100 || | || || || || 1/12 || || 100 ||= L/s=4: | ||
|| || || || || 2/23 || 104.347826 || | generators smaller than this are "impractical" || | ||
|| || || 1/11 || || || 109 1/11 || | || || || || || 2/23 || 104.347826 ||= || | ||
|| || || || || 3/32 || 112.5 || | || || || 1/11 || || || 109 1/11 ||= L/s=3: | ||
|| || || || 2/21 || || 114 2/7 || | generators smaller than this may be considered "impractical" || | ||
|| || || || || 3/31 || 116.129032 || | || || || || || 3/32 || 112.5 ||= || | ||
|| || 1/10 || || || || 120 || | || || || || 2/21 || || 114 2/7 ||= || | ||
|| || || || || 4/39 || 123 1/13 || | || || || || || 3/31 || 116.129032 ||= || | ||
|| || || || 3/29 || || 124.137931 || | || || 1/10 || || || || 120 ||= || | ||
|| || || || || 5/48 || 125 || | || || || || || 4/39 || 123 1/13 ||= || | ||
|| || || 2/19 || || || 126.315789 || | || || || || 3/29 || || 124.137931 ||= || | ||
|| || || || || 5/47 || 127.659574 || | || || || || || 5/48 || 125 ||= || | ||
|| || || || 3/28 || || 128 4/7 || | || || || 2/19 || || || 126.315789 ||= || | ||
|| || || || || 4/37 || 129 27/37 || | || || || || || 5/47 || 127.659574 ||= || | ||
|| 1/9 || || || || || 133 1/3 ||</pre></div> | || || || || 3/28 || || 128 4/7 ||= || | ||
|| || || || || 4/37 || 129 27/37 ||= || | |||
|| 1/9 || || || || || 133 1/3 ||= ||</pre></div> | |||
<h4>Original HTML content:</h4> | <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 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 of at least 3/28edo (L&lt;= 4 s=3).<br /> | <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 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 of at least 3/28edo (L&lt;= 4 s=3).<br /> | ||
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</td> | </td> | ||
<td>0<br /> | <td>0<br /> | ||
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<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
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</td> | </td> | ||
<td>92 4/13<br /> | <td>92 4/13<br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
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<td>100<br /> | <td>100<br /> | ||
</td> | |||
<td style="text-align: center;">L/s=4:<br /> | |||
generators smaller than this are &quot;impractical&quot;<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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</td> | </td> | ||
<td>104.347826<br /> | <td>104.347826<br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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</td> | </td> | ||
<td>109 1/11<br /> | <td>109 1/11<br /> | ||
</td> | |||
<td style="text-align: center;">L/s=3:<br /> | |||
generators smaller than this may be considered &quot;impractical&quot;<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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</td> | </td> | ||
<td>112.5<br /> | <td>112.5<br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>114 2/7<br /> | <td>114 2/7<br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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</td> | </td> | ||
<td>116.129032<br /> | <td>116.129032<br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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</td> | </td> | ||
<td>120<br /> | <td>120<br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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</td> | </td> | ||
<td>123 1/13<br /> | <td>123 1/13<br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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</td> | </td> | ||
<td>124.137931<br /> | <td>124.137931<br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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</td> | </td> | ||
<td>125<br /> | <td>125<br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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</td> | </td> | ||
<td>126.315789<br /> | <td>126.315789<br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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</td> | </td> | ||
<td>127.659574<br /> | <td>127.659574<br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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</td> | </td> | ||
<td>128 4/7<br /> | <td>128 4/7<br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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</td> | </td> | ||
<td>129 27/37<br /> | <td>129 27/37<br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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</td> | </td> | ||
<td>133 1/3<br /> | <td>133 1/3<br /> | ||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
Revision as of 20:46, 25 November 2012
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 2012-11-25 20:46:26 UTC.
- The original revision id was 385887062.
- 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 of at least 3/28edo (L<= 4 s=3). || 0/1 || || || || || 0 ||= || || || || || || 1/13 || 92 4/13 ||= || || || || || 1/12 || || 100 ||= L/s=4: generators smaller than this are "impractical" || || || || || || 2/23 || 104.347826 ||= || || || || 1/11 || || || 109 1/11 ||= L/s=3: generators smaller than this may be considered "impractical" || || || || || || 3/32 || 112.5 ||= || || || || || 2/21 || || 114 2/7 ||= || || || || || || 3/31 || 116.129032 ||= || || || 1/10 || || || || 120 ||= || || || || || || 4/39 || 123 1/13 ||= || || || || || 3/29 || || 124.137931 ||= || || || || || || 5/48 || 125 ||= || || || || 2/19 || || || 126.315789 ||= || || || || || || 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<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 of at least 3/28edo (L<= 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>
</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>
</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;">L/s=4:<br />
generators smaller than this are "impractical"<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>
</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;">L/s=3:<br />
generators smaller than this may be considered "impractical"<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>
</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>
</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>
</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;"><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>
</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>
</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>
</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;"><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>
</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>
</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>
</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>
</tr>
</table>
</body></html>