10L 2s: Difference between revisions
Wikispaces>guest **Imported revision 325149726 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 347988884 - 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: | : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2012-06-25 22:10:30 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>347988884</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> | ||
| Line 10: | Line 10: | ||
All scales with this MOS pattern are [[Rothenberg propriety|proper]], because there is only one small step per period. | All scales with this MOS pattern are [[Rothenberg propriety|proper]], because there is only one small step per period. | ||
||||||||~ Generator ||~ Cents ||~ Comments || | ||||||||~ Generator ||~ ||~ ||~ Cents ||~ Comments || | ||
|| 1\12 || || || || 100 ||= || | || 1\12 || || || || || || 100 ||= || | ||
|| || || || 4\46 || 104.35 ||= || | || || || || || || 6/70 || 102.86 || || | ||
|| || || 3\34 || || 105.88 ||= Srutal/pajara is around here || | || || || || || 5\58 || || 103.45 || || | ||
|| || || || 5\56 || 107.14 || || | || || || || || || 9/104 || 103.84 || || | ||
|| || 2\22 || || || 109. | || || || || 4\46 || || || 104.35 ||= || | ||
|| || || || || || 11/126 || 104.76 || || | |||
|| || || || || 7/80 || || 105 || || | |||
|| || || || || || 10\114 || 105.26 || || | |||
|| || || 3\34 || || || || 105.88 ||= Srutal/pajara is around here || | |||
|| || || || || || 11\124 || 106.45 || || | |||
|| || || || || 8\90 || || 106.__6__ || || | |||
|| || || || || || 13\146 || 106.85 || || | |||
|| || || || 5\56 || || || 107.14 ||= || | |||
|| || || || || || 12/134 || 107.46 || || | |||
|| || || || || 7\78 || || 107.69 || || | |||
|| || || || || || 9/100 || 108 || || | |||
|| || 2\22 || || || || || 109.__09__ ||= Boundary of propriety for near-MOS | |||
Optimal rank range (L/s=1/2) for MOS || | Optimal rank range (L/s=1/2) for MOS || | ||
|| || || || 5/54 || 111.11 || || | || || || || || || 9\98 || 110.2 || || | ||
|| || || 3\32 || || 112.5 || || | || || || || || 7/76 || || 110.53 || || | ||
|| || || || 4/42 || 114.29 || || | || || || || || || 12\130 || 110.77 || || | ||
|| 1\10 || || || || 120 ||= ||</pre></div> | || || || || 5/54 || || || 111.__1__ ||= || | ||
|| || || || || || 13\140 || 111.43 || || | |||
|| || || || || 8/86 || || 111.63 || || | |||
|| || || || || || 11/118 || 111.86 || || | |||
|| || || 3\32 || || || || 112.5 ||= || | |||
|| || || || || || 10\106 || 113.21 || || | |||
|| || || || || 7/74 || || 113.51 || || | |||
|| || || || || || 11\116 || 113.79 || || | |||
|| || || || 4/42 || || || 114.29 ||= || | |||
|| || || || || || 9/94 || 114.89 || || | |||
|| || || || || 5/52 || || 115.385 || || | |||
|| || || || || || 6\62 || 116.13 || || | |||
|| 1\10 || || || || || || 120 ||= ||</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>10L 2s</title></head><body>The only significant harmonic entropy minimum with this MOS pattern is <a class="wiki_link" href="/Diaschismic%20family">srutal/pajara</a>[12], which is simply <a class="wiki_link" href="/2L%208s">decatonic</a> with two more notes added in.<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>10L 2s</title></head><body>The only significant harmonic entropy minimum with this MOS pattern is <a class="wiki_link" href="/Diaschismic%20family">srutal/pajara</a>[12], which is simply <a class="wiki_link" href="/2L%208s">decatonic</a> with two more notes added in.<br /> | ||
| Line 31: | Line 55: | ||
<tr> | <tr> | ||
<th colspan="4">Generator<br /> | <th colspan="4">Generator<br /> | ||
</th> | |||
<th><br /> | |||
</th> | |||
<th><br /> | |||
</th> | </th> | ||
<th>Cents<br /> | <th>Cents<br /> | ||
| Line 39: | Line 67: | ||
<tr> | <tr> | ||
<td>1\12<br /> | <td>1\12<br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 49: | Line 81: | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <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>6/70<br /> | |||
</td> | |||
<td>102.86<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>5\58<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>103.45<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>9/104<br /> | |||
</td> | |||
<td>103.84<br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 59: | Line 145: | ||
</td> | </td> | ||
<td>4\46<br /> | <td>4\46<br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>104.35<br /> | <td>104.35<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <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>11/126<br /> | |||
</td> | |||
<td>104.76<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>7/80<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>105<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>10\114<br /> | |||
</td> | |||
<td>105.26<br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 71: | Line 215: | ||
</td> | </td> | ||
<td>3\34<br /> | <td>3\34<br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 77: | Line 225: | ||
</td> | </td> | ||
<td style="text-align: center;">Srutal/pajara is around here<br /> | <td style="text-align: center;">Srutal/pajara is around here<br /> | ||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>11\124<br /> | |||
</td> | |||
<td>106.45<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>8\90<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>106.<u>6</u><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>13\146<br /> | |||
</td> | |||
<td>106.85<br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 87: | Line 289: | ||
</td> | </td> | ||
<td>5\56<br /> | <td>5\56<br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>107.14<br /> | <td>107.14<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>12/134<br /> | |||
</td> | |||
<td>107.46<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>7\78<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>107.69<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>9/100<br /> | |||
</td> | |||
<td>108<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 102: | Line 362: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>109.09<br /> | <td><br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
<td>109.<u>09</u><br /> | |||
</td> | </td> | ||
<td style="text-align: center;">Boundary of propriety for near-MOS<br /> | <td style="text-align: center;">Boundary of propriety for near-MOS<br /> | ||
Optimal rank range (L/s=1/2) for MOS<br /> | Optimal rank range (L/s=1/2) for MOS<br /> | ||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>9\98<br /> | |||
</td> | |||
<td>110.2<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>7/76<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>110.53<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>12\130<br /> | |||
</td> | |||
<td>110.77<br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 117: | Line 435: | ||
<td>5/54<br /> | <td>5/54<br /> | ||
</td> | </td> | ||
<td>111.11<br /> | <td><br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
<td>111.<u>1</u><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>13\140<br /> | |||
</td> | |||
<td>111.43<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>8/86<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>111.63<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>11/118<br /> | |||
</td> | |||
<td>111.86<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 128: | Line 504: | ||
</td> | </td> | ||
<td>3\32<br /> | <td>3\32<br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>112.5<br /> | <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>10\106<br /> | |||
</td> | |||
<td>113.21<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>7/74<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>113.51<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>11\116<br /> | |||
</td> | |||
<td>113.79<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 144: | Line 578: | ||
</td> | </td> | ||
<td>4/42<br /> | <td>4/42<br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td>114.29<br /> | <td>114.29<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>9/94<br /> | |||
</td> | |||
<td>114.89<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>5/52<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>115.385<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td>6\62<br /> | |||
</td> | |||
<td>116.13<br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 152: | Line 644: | ||
<tr> | <tr> | ||
<td>1\10<br /> | <td>1\10<br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||