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Wikispaces>JosephRuhf **Imported revision 551971800 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 565337619 - 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>2015-05 | : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-11-05 13:01:28 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>565337619</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 | <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 (133.333 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 ||= ||= || | || 0/1 || || || || || 0 ||= ||= || | ||
|| || || || || 1/13 || 92 | || || || || || 1/13 || 92.308 ||= ||= || | ||
|| || || || 1/12 || || 100 ||= ||= L/s = 4 || | || || || || 1/12 || || 100 ||= ||= L/s = 4 || | ||
|| || || || || 2/23 || 104. | || || || || || 2/23 || 104.348 ||= ||= || | ||
|| || || || || || 1200/(8+pi | || || || || || || 1200/(8+pi) || || || | ||
|| || || 1/11 || || || 109 | || || || 1/11 || || || 109.091 ||= Miracle generators from here... ||= L/s = 3 || | ||
|| || || || || || 1200/(8+e) || || || | || || || || || || 1200/(8+e) || || || | ||
|| || || || || 3/32 || 112.5 ||= ||= || | || || || || || 3/32 || 112.5 ||= ||= || | ||
|| || || || 2/21 || || 114 | || || || || || || 1200/(9+phi) || || || | ||
|| || || || || 3/31 || 116. | || || || || 2/21 || || 114.286 ||= ||= || | ||
|| || || || || 3/31 || 116.129 ||= ||= || | |||
|| || 1/10 || || || || 120 ||= ...to here; | || || 1/10 || || || || 120 ||= ...to here; | ||
Negri generators from here... ||= Boundary of propriety: | Negri generators from here... ||= Boundary of propriety: | ||
generators larger than this are proper || | generators larger than this are proper || | ||
|| || || || || 4/39 || 123 | || || || || || || 1200/(8+<span style="line-height: 1.5;">sqrt(3))</span> || || || | ||
|| || || || 3/29 || || 124. | || || || || || 4/39 || 123.077 ||= ||= || | ||
|| || || || 3/29 || || 124.138 ||= ||= || | |||
|| || || || || || 1200/(8+phi) || || || | |||
|| || || || || 5/48 || 125 ||= ||= || | || || || || || 5/48 || 125 ||= ||= || | ||
|| || || 2/19 || || || 126. | || || || || || || 1200/(8+pih) || || || | ||
|| || || || || 5/47 || 127. | || || || 2/19 || || || 126.316 ||= ...to here ||= || | ||
|| || || || 3/28 || || 128 | || || || || || 5/47 || 127.66 ||= ||= || | ||
|| || || || || 4/37 || 129 | || || || || 3/28 || || 128.571 ||= ||= || | ||
|| 1/9 || || || || || 133 | || || || || || 4/37 || 129.73 ||= ||= || | ||
|| 1/9 || || || || || 133.333 ||= ||= ||</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 | <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 (133.333 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 /> | ||
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<td>1/13<br /> | <td>1/13<br /> | ||
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<td>92 | <td>92.308<br /> | ||
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<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
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<td>2/23<br /> | <td>2/23<br /> | ||
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<td>104. | <td>104.348<br /> | ||
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<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
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<td><br /> | <td><br /> | ||
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<td>1200/(8+pi | <td>1200/(8+pi)<br /> | ||
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<td>109 | <td>109.091<br /> | ||
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<td style="text-align: center;">Miracle generators from here...<br /> | <td style="text-align: center;">Miracle generators from here...<br /> | ||
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<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
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<td>1200/(9+phi)<br /> | |||
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<td><br /> | <td><br /> | ||
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<td>114 | <td>114.286<br /> | ||
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<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
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<td>3/31<br /> | <td>3/31<br /> | ||
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<td>116. | <td>116.129<br /> | ||
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<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
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<td style="text-align: center;">Boundary of propriety:<br /> | <td style="text-align: center;">Boundary of propriety:<br /> | ||
generators larger than this are proper<br /> | generators larger than this are proper<br /> | ||
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<td>1200/(8+<span style="line-height: 1.5;">sqrt(3))</span><br /> | |||
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<td>4/39<br /> | <td>4/39<br /> | ||
</td> | </td> | ||
<td>123 | <td>123.077<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
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<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>124. | <td>124.138<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
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<td>1200/(8+phi)<br /> | |||
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<td>1200/(8+pih)<br /> | |||
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<td><br /> | <td><br /> | ||
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<td>126. | <td>126.316<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">...to here<br /> | <td style="text-align: center;">...to here<br /> | ||
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<td>5/47<br /> | <td>5/47<br /> | ||
</td> | </td> | ||
<td>127. | <td>127.66<br /> | ||
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<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
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<td><br /> | <td><br /> | ||
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<td>128 | <td>128.571<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
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<td>4/37<br /> | <td>4/37<br /> | ||
</td> | </td> | ||
<td>129 | <td>129.73<br /> | ||
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<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
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<td><br /> | <td><br /> | ||
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<td>133 | <td>133.333<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> |
Revision as of 13:01, 5 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 2015-11-05 13:01:28 UTC.
- The original revision id was 565337619.
- 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 (133.333 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 || 92.308 ||= ||= || || || || || 1/12 || || 100 ||= ||= L/s = 4 || || || || || || 2/23 || 104.348 ||= ||= || || || || || || || 1200/(8+pi) || || || || || || 1/11 || || || 109.091 ||= Miracle generators from here... ||= L/s = 3 || || || || || || || 1200/(8+e) || || || || || || || || 3/32 || 112.5 ||= ||= || || || || || || || 1200/(9+phi) || || || || || || || 2/21 || || 114.286 ||= ||= || || || || || || 3/31 || 116.129 ||= ||= || || || 1/10 || || || || 120 ||= ...to here; Negri generators from here... ||= Boundary of propriety: generators larger than this are proper || || || || || || || 1200/(8+<span style="line-height: 1.5;">sqrt(3))</span> || || || || || || || || 4/39 || 123.077 ||= ||= || || || || || 3/29 || || 124.138 ||= ||= || || || || || || || 1200/(8+phi) || || || || || || || || 5/48 || 125 ||= ||= || || || || || || || 1200/(8+pih) || || || || || || 2/19 || || || 126.316 ||= ...to here ||= || || || || || || 5/47 || 127.66 ||= ||= || || || || || 3/28 || || 128.571 ||= ||= || || || || || || 4/37 || 129.73 ||= ||= || || 1/9 || || || || || 133.333 ||= ||= ||
Original HTML content:
<html><head><title>1L 8s</title></head><body>This MOS, with a generator of up to 1/9edo (133.333 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).<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>92.308<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>104.348<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>109.091<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><br /> </td> <td><br /> </td> <td>1200/(9+phi)<br /> </td> <td><br /> </td> <td><br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>2/21<br /> </td> <td><br /> </td> <td>114.286<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>116.129<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><br /> </td> <td>1200/(8+<span style="line-height: 1.5;">sqrt(3))</span><br /> </td> <td><br /> </td> <td><br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>4/39<br /> </td> <td>123.077<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>124.138<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+phi)<br /> </td> <td><br /> </td> <td><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><br /> </td> <td><br /> </td> <td><br /> </td> <td>1200/(8+pih)<br /> </td> <td><br /> </td> <td><br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td>2/19<br /> </td> <td><br /> </td> <td><br /> </td> <td>126.316<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>127.66<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>128.571<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>129.73<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>133.333<br /> </td> <td style="text-align: center;"><br /> </td> <td style="text-align: center;"><br /> </td> </tr> </table> </body></html>