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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | {{Infobox MOS}} |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | {{MOS intro}} |
| : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-05-24 10:57:13 UTC</tt>.<br>
| |
| : The original revision id was <tt>552007120</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>
| |
| <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">7L 8s refers to a Moment of Symmetry scale with 7 large steps and 8 small steps. One especially notable temperament that falls into this MOS pattern is [[porcupine]], of the [[porcupine family]].
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|
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|
| ||||||||||~ Generator ||~ scale ||~ g ||~ 2g ||~ 3g ||~ 4g ||~ 5g ||~ 6g ||~ 7g ||~ Comments ||
| | It is notable for supporting [[Porcupine]], of the [[Porcupine_family|porcupine family]]. |
| ||= 2\15 ||= ||= ||= || ||= 1 1 1 1 1 1 1 1
| |
| 1 1 1 1 1 1 1 ||= 160.0 ||= 320.0 ||= 480.0 ||= 640.0 || 800.0 || 960.0 || 1120.0 ||= ||
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| || || || || || 9\67 ||= 4 5 4 5 4 5 4 5
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| 4 5 4 5 4 5 4 ||= 161.2 ||= 322.4 || 483.6 || 644.8 || 806 || 967.2 || 1128.4 || ||
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| ||= ||= ||= ||= 7\52 || ||= 3 4 3 4 3 4 3 4
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| 3 4 3 4 3 4 3 ||= 161.5 ||= 323.1 ||= 484.6 ||= 646.2 || 807.7 || 969.2 || 1130.8 ||= ||
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| ||= ||= ||= 5\37 ||= || ||= 2 3 2 3 2 3 2 3
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| 2 3 2 3 2 3 2 ||= 162.2 ||= 324.3 ||= 486.5 ||= 648.6 || 810.8 || 973.0 || 1135.1 ||= Optimal rank range (L/s=3/2) porcupine ||
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| || || || || || 13\96 ||= 5 8 5 8 5 8 5 8
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| 5 8 5 8 5 8 5 ||= 162.5 ||= 325 || 487.5 || 650 || 812.5 || 975 || 1137.5 ||= Golden porcupine when L/s=phi ||
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| ||= ||= ||= ||= 8\59 || ||= 3 5 3 5 3 5 3 5
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| 3 5 3 5 3 5 3 ||= 162.7 ||= 325.4 ||= 488.1 ||= 650.8 || 813.6 || 976.3 || 1139.0 ||= ||
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| ||= ||= 3\22 ||= ||= || ||= 1 2 1 2 1 2 1 2
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| 1 2 1 2 1 2 1 ||= 163.6 ||= 327.3 ||= 490.9 ||= 654.5 || 818.2 || 981.8 || 1145.5 ||= Boundary of propriety (generators
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| smaller than this are proper) ||
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| ||= ||= ||= ||= 7\51 || ||= 2 5 2 5 2 5 2 5
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| 2 5 2 5 2 5 2 ||= 164.7 ||= 329.4 ||= 494.1 ||= 658.8 || 823.5 || 988.2 || 1152.9 ||= ||
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| || || || || || ||= 1 e 1 e 1 e 1 e
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| 1 e 1 e 1 e 1 ||= 165.1 ||= 330.2 || 495.3 || 660.3 || 825.4 || 990.5 || 1155.6 || <span style="display: block; text-align: center;">L/s=e</span> ||
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| ||= ||= ||= 4\29 ||= || ||= 1 3 1 3 1 3 1 3
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| 1 3 1 3 1 3 1 ||= 165.5 ||= 331.0 ||= 496.6 ||= 662.1 || 827.6 || 993.1 || 1158.6 ||= ||
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| || || || || || ||= 1 pi 1 pi etc. ||= 165.7 ||= 331.4 || 497.1 || 662.85 || 828.5 || 994.3 || 1160.0 || <span style="display: block; text-align: center;">L/s=pi</span> ||
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| ||= ||= ||= ||= 5\36 || ||= 1 4 1 4 1 4 1 4
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| 1 4 1 4 1 4 1 ||= 166.7 ||= 333.3 ||= 500.0 ||= 666.7 || 833.3 || 1000.0 || 1166.7 ||= ||
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| || || || || || 6\43 ||= 1 5 1 5 1 5 1 5
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| 1 5 1 5 1 5 1 ||= 167.4 ||= 334.9 || 502.3 || 669.8 || 837.2 || 1004.65 || 1172.1 || ||
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| ||= 1\7 ||= ||= ||= || ||= 0 1 0 1 0 1 0 1
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| 0 1 0 1 0 1 0 ||= 171.4 ||= 342.9 ||= 514.3 ||= 685.7 || 857.1 || 1028.6 || 1200.0 ||= ||</pre></div>
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| <h4>Original HTML content:</h4>
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| <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>7L 8s</title></head><body>7L 8s refers to a Moment of Symmetry scale with 7 large steps and 8 small steps. One especially notable temperament that falls into this MOS pattern is <a class="wiki_link" href="/porcupine">porcupine</a>, of the <a class="wiki_link" href="/porcupine%20family">porcupine family</a>.<br />
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| <br />
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|
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|
| | == Scale properties == |
| | {{TAMNAMS use}} |
|
| |
|
| <table class="wiki_table">
| | === Intervals === |
| <tr>
| | {{MOS intervals}} |
| <th colspan="5">Generator<br />
| |
| </th>
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| <th>scale<br />
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| </th>
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| <th>g<br />
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| </th>
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| <th>2g<br />
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| </th>
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| <th>3g<br />
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| </th>
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| <th>4g<br />
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| </th>
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| <th>5g<br />
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| </th>
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| <th>6g<br />
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| </th>
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| <th>7g<br />
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| </th>
| |
| <th>Comments<br />
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| </th>
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| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">2\15<br />
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| </td>
| |
| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td><br />
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| </td>
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| <td style="text-align: center;">1 1 1 1 1 1 1 1<br />
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| 1 1 1 1 1 1 1<br />
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| </td>
| |
| <td style="text-align: center;">160.0<br />
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| </td>
| |
| <td style="text-align: center;">320.0<br />
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| </td>
| |
| <td style="text-align: center;">480.0<br />
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| </td>
| |
| <td style="text-align: center;">640.0<br />
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| </td>
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| <td>800.0<br />
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| </td>
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| <td>960.0<br />
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| </td>
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| <td>1120.0<br />
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| </td>
| |
| <td style="text-align: center;"><br />
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| </td>
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| </tr>
| |
| <tr>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td>9\67<br />
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| </td>
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| <td style="text-align: center;">4 5 4 5 4 5 4 5<br />
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| 4 5 4 5 4 5 4<br />
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| </td>
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| <td style="text-align: center;">161.2<br />
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| </td>
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| <td style="text-align: center;">322.4<br />
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| </td>
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| <td>483.6<br />
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| </td>
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| <td>644.8<br />
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| </td>
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| <td>806<br />
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| </td>
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| <td>967.2<br />
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| </td>
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| <td>1128.4<br />
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| </td>
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| <td><br />
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| </td>
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| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;">7\52<br />
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| </td>
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| <td><br />
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| </td>
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| <td style="text-align: center;">3 4 3 4 3 4 3 4<br />
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| 3 4 3 4 3 4 3<br />
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| </td>
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| <td style="text-align: center;">161.5<br />
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| </td>
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| <td style="text-align: center;">323.1<br />
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| </td>
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| <td style="text-align: center;">484.6<br />
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| </td>
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| <td style="text-align: center;">646.2<br />
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| </td>
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| <td>807.7<br />
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| </td>
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| <td>969.2<br />
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| </td>
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| <td>1130.8<br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| </tr>
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| <tr>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;">5\37<br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td><br />
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| </td>
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| <td style="text-align: center;">2 3 2 3 2 3 2 3<br />
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| 2 3 2 3 2 3 2<br />
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| </td>
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| <td style="text-align: center;">162.2<br />
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| </td>
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| <td style="text-align: center;">324.3<br />
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| </td>
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| <td style="text-align: center;">486.5<br />
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| </td>
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| <td style="text-align: center;">648.6<br />
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| </td>
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| <td>810.8<br />
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| </td>
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| <td>973.0<br />
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| </td>
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| <td>1135.1<br />
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| </td>
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| <td style="text-align: center;">Optimal rank range (L/s=3/2) porcupine<br />
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| </td>
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| </tr>
| |
| <tr>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td>13\96<br />
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| </td>
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| <td style="text-align: center;">5 8 5 8 5 8 5 8<br />
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| 5 8 5 8 5 8 5<br />
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| </td>
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| <td style="text-align: center;">162.5<br />
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| </td>
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| <td style="text-align: center;">325<br />
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| </td>
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| <td>487.5<br />
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| </td>
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| <td>650<br />
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| </td>
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| <td>812.5<br />
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| </td>
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| <td>975<br />
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| </td>
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| <td>1137.5<br />
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| </td>
| |
| <td style="text-align: center;">Golden porcupine when L/s=phi<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
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| <td style="text-align: center;"><br />
| |
| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;">8\59<br />
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| </td>
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| <td><br />
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| </td>
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| <td style="text-align: center;">3 5 3 5 3 5 3 5<br />
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| 3 5 3 5 3 5 3<br />
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| </td>
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| <td style="text-align: center;">162.7<br />
| |
| </td>
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| <td style="text-align: center;">325.4<br />
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| </td>
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| <td style="text-align: center;">488.1<br />
| |
| </td>
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| <td style="text-align: center;">650.8<br />
| |
| </td>
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| <td>813.6<br />
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| </td>
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| <td>976.3<br />
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| </td>
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| <td>1139.0<br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| </tr>
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| <tr>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;">3\22<br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td><br />
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| </td>
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| <td style="text-align: center;">1 2 1 2 1 2 1 2<br />
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| 1 2 1 2 1 2 1<br />
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| </td>
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| <td style="text-align: center;">163.6<br />
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| </td>
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| <td style="text-align: center;">327.3<br />
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| </td>
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| <td style="text-align: center;">490.9<br />
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| </td>
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| <td style="text-align: center;">654.5<br />
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| </td>
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| <td>818.2<br />
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| </td>
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| <td>981.8<br />
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| </td>
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| <td>1145.5<br />
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| </td>
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| <td style="text-align: center;">Boundary of propriety (generators<br />
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| smaller than this are proper)<br />
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| </td>
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| </tr>
| |
| <tr>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;">7\51<br />
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| </td>
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| <td><br />
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| </td>
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| <td style="text-align: center;">2 5 2 5 2 5 2 5<br />
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| 2 5 2 5 2 5 2<br />
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| </td>
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| <td style="text-align: center;">164.7<br />
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| </td>
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| <td style="text-align: center;">329.4<br />
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| </td>
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| <td style="text-align: center;">494.1<br />
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| </td>
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| <td style="text-align: center;">658.8<br />
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| </td>
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| <td>823.5<br />
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| </td>
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| <td>988.2<br />
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| </td>
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| <td>1152.9<br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| </tr>
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| <tr>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td style="text-align: center;">1 e 1 e 1 e 1 e <br />
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| 1 e 1 e 1 e 1<br />
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| </td>
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| <td style="text-align: center;">165.1<br />
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| </td>
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| <td style="text-align: center;">330.2<br />
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| </td>
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| <td>495.3<br />
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| </td>
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| <td>660.3<br />
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| </td>
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| <td>825.4<br />
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| </td>
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| <td>990.5<br />
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| </td>
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| <td>1155.6<br />
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| </td>
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| <td><span style="display: block; text-align: center;">L/s=e</span><br />
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| </td>
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| </tr>
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| <tr>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;">4\29<br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td><br />
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| </td>
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| <td style="text-align: center;">1 3 1 3 1 3 1 3<br />
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| 1 3 1 3 1 3 1<br />
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| </td>
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| <td style="text-align: center;">165.5<br />
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| </td>
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| <td style="text-align: center;">331.0<br />
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| </td>
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| <td style="text-align: center;">496.6<br />
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| </td>
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| <td style="text-align: center;">662.1<br />
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| </td>
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| <td>827.6<br />
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| </td>
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| <td>993.1<br />
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| </td>
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| <td>1158.6<br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| </tr>
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| <tr>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td style="text-align: center;">1 pi 1 pi etc.<br />
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| </td>
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| <td style="text-align: center;">165.7<br />
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| </td>
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| <td style="text-align: center;">331.4<br />
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| </td>
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| <td>497.1<br />
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| </td>
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| <td>662.85<br />
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| </td>
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| <td>828.5<br />
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| </td>
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| <td>994.3<br />
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| </td>
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| <td>1160.0<br />
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| </td>
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| <td><span style="display: block; text-align: center;">L/s=pi</span><br />
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| </td>
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| </tr>
| |
| <tr>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;">5\36<br />
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| </td>
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| <td><br />
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| </td>
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| <td style="text-align: center;">1 4 1 4 1 4 1 4<br />
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| 1 4 1 4 1 4 1<br />
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| </td>
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| <td style="text-align: center;">166.7<br />
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| </td>
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| <td style="text-align: center;">333.3<br />
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| </td>
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| <td style="text-align: center;">500.0<br />
| |
| </td>
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| <td style="text-align: center;">666.7<br />
| |
| </td>
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| <td>833.3<br />
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| </td>
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| <td>1000.0<br />
| |
| </td>
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| <td>1166.7<br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| </tr>
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| <tr>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td>6\43<br />
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| </td>
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| <td style="text-align: center;">1 5 1 5 1 5 1 5<br />
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| 1 5 1 5 1 5 1<br />
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| </td>
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| <td style="text-align: center;">167.4<br />
| |
| </td>
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| <td style="text-align: center;">334.9<br />
| |
| </td>
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| <td>502.3<br />
| |
| </td>
| |
| <td>669.8<br />
| |
| </td>
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| <td>837.2<br />
| |
| </td>
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| <td>1004.65<br />
| |
| </td>
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| <td>1172.1<br />
| |
| </td>
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| <td><br />
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| </td>
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| </tr>
| |
| <tr>
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| <td style="text-align: center;">1\7<br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
| |
| </td>
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| <td><br />
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| </td>
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| <td style="text-align: center;">0 1 0 1 0 1 0 1<br />
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| 0 1 0 1 0 1 0<br />
| |
| </td>
| |
| <td style="text-align: center;">171.4<br />
| |
| </td>
| |
| <td style="text-align: center;">342.9<br />
| |
| </td>
| |
| <td style="text-align: center;">514.3<br />
| |
| </td>
| |
| <td style="text-align: center;">685.7<br />
| |
| </td>
| |
| <td>857.1<br />
| |
| </td>
| |
| <td>1028.6<br />
| |
| </td>
| |
| <td>1200.0<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| </body></html></pre></div>
| | === Generator chain === |
| | {{MOS genchain}} |
| | |
| | === Modes === |
| | {{MOS mode degrees}} |
| | |
| | == Scale tree == |
| | {{todo|inline=1|complete table|text=There was previously octachord info in the old scale tree, in the form of the step pattern LsLsLsL. Please add it to the new scale tree.}} |
| | {{MOS tuning spectrum |
| | | Depth = 6 |
| | | 3/2 = Optimal rank range ({{nowrap|L/s {{=}} 3/2}}) porcupine |
| | | 13/8 = Golden porcupine {{nowrap|L/s {{=}} φ}} |
| | }} |
| | |
| | {{stub}} |
| | |
| | [[Category:Porcupine]] |
| | [[Category:Abstract MOS patterns]] |