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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}} The name '''flanatonic''' has been proposed by [[User:Inthar|Inthar]], for "flat [[naiadic]]". |
| : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-11-09 15:03:35 UTC</tt>.<br>
| |
| : The original revision id was <tt>565775191</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">The only significant harmonic entropy minimum with this MOS pattern is [[Sensipent family|sensi]], in which the generator is 9/7 and two of them make a 5/3.
| |
|
| |
|
| ||~ Generator ||~ ||~ ||~ ||~ ||~ ||~ ||~ Pentachord steps ||~ Comments ||
| | The only significant [[harmonic entropy]] minimum with this mos pattern is [[sentry]], in which the generator is [[9/7]] and two of them make a [[5/3]]. |
| || 4\[[11edo|11]] || || || || || || 436.364 ||= 1 1 1 1 ||= ||
| |
| || || || || || || 23\63 || 438.095 ||= 6 6 6 5 ||= ||
| |
| || || || || || 19\52 || || 438.462 ||= 5 5 5 4 ||= ||
| |
| || || || || 15\[[41edo|41]] || || || 439.024 ||= 4 4 4 3 ||= ||
| |
| || || || 11\[[30edo|30]] || || || || 440 ||= 3 3 3 2 ||= Optimum rank range (L/s=3/2) ||
| |
| || || || || || || || 440.364 ||= <span style="text-align: center;">pi pi pi 2</span> || ||
| |
| || || || || || 29\[[79edo|79]] || || 440.506 ||= 8 8 8 5 ||= ||
| |
| || || || || || || || 440.592 ||= <span style="display: block; text-align: center;">phi phi phi 1</span> || ||
| |
| || || || || || || 47\128 || 440.625 ||= 13 13 13 8 ||= Unnamed golden temperament ||
| |
| || || || || 18\[[49edo|49]] || || || 440.816 ||= 5 5 5 3 ||= ||
| |
| || || || || || || || 441.101 ||= <span style="background-color: #ffffff;">√3 </span>√3 √3 1 || ||
| |
| || || || || || 25\[[68edo|68]] || || 441.176 ||= 7 7 7 4 ||= ||
| |
| || || 7\[[19edo|19]] || || || || || 442.105 ||= 2 2 2 1 ||= Boundary of propriety: generators smaller than this are proper ||
| |
| || || || || || 24\[[65edo|65]] || || 443.077 ||= 7 7 7 3 ||= ||
| |
| || || || || 17\[[46edo|46]] || || || 443.478 ||= 5 5 5 2 ||= Sensi is about here ||
| |
| || || || || || || 44\119 || 443.6975 ||= 13 13 13 5 ||= Golden Sensi ||
| |
| || || || || || || || 443.7355 ||= <span style="display: block; text-align: center;">phi+1 phi+1 phi+1 1</span> || ||
| |
| || || || || || 27\[[73edo|73]] || || 443.836 ||= 8 8 8 3 ||= ||
| |
| || || || || || || || 443.9385 ||= e e e 1 || ||
| |
| || || || 10\[[27edo|27]] || || || || 444.444 ||= 3 3 3 1 ||= ||
| |
| || || || || || || || 444.668 ||= pi pi pi 1 || ||
| |
| || || || || 13\[[35edo|35]] || || || 445.714 ||= 4 4 4 1 ||= ||
| |
| || || || || || 16\[[43edo|43]] || || 446.512 ||= 5 5 5 1 ||= ||
| |
| || || || || || || 19\51 || 447.059 ||= 6 6 6 1 || ||
| |
| || 3\[[8edo|8]] || || || || || || 450 ||= 1 1 1 0 ||= ||</pre></div>
| |
| <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>8L 3s</title></head><body>The only significant harmonic entropy minimum with this MOS pattern is <a class="wiki_link" href="/Sensipent%20family">sensi</a>, in which the generator is 9/7 and two of them make a 5/3.<br />
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| <br />
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|
| |
|
| | == Scale properties == |
|
| |
|
| <table class="wiki_table">
| | === Intervals === |
| <tr>
| | {{MOS intervals}} |
| <th>Generator<br />
| |
| </th>
| |
| <th><br />
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| </th>
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| <th><br />
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| </th>
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| <th><br />
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| </th>
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| <th><br />
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| </th>
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| <th><br />
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| </th>
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| <th><br />
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| </th>
| |
| <th>Pentachord steps<br />
| |
| </th>
| |
| <th>Comments<br />
| |
| </th>
| |
| </tr>
| |
| <tr>
| |
| <td>4\<a class="wiki_link" href="/11edo">11</a><br />
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| </td>
| |
| <td><br />
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| </td>
| |
| <td><br />
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| </td>
| |
| <td><br />
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| </td>
| |
| <td><br />
| |
| </td>
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| <td><br />
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| </td>
| |
| <td>436.364<br />
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| </td>
| |
| <td style="text-align: center;">1 1 1 1<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
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| </tr>
| |
| <tr>
| |
| <td><br />
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| </td>
| |
| <td><br />
| |
| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
| |
| <td><br />
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| </td>
| |
| <td>23\63<br />
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| </td>
| |
| <td>438.095<br />
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| </td>
| |
| <td style="text-align: center;">6 6 6 5<br />
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| </td>
| |
| <td style="text-align: center;"><br />
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| </td>
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| </tr>
| |
| <tr>
| |
| <td><br />
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| </td>
| |
| <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>
| |
| <td>19\52<br />
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| </td>
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| <td><br />
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| </td>
| |
| <td>438.462<br />
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| </td>
| |
| <td style="text-align: center;">5 5 5 4<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>
| |
| <td>15\<a class="wiki_link" href="/41edo">41</a><br />
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| </td>
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| <td><br />
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| </td>
| |
| <td><br />
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| </td>
| |
| <td>439.024<br />
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| </td>
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| <td style="text-align: center;">4 4 4 3<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
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| </td>
| |
| <td><br />
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| </td>
| |
| <td>11\<a class="wiki_link" href="/30edo">30</a><br />
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| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
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| <td><br />
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| </td>
| |
| <td>440<br />
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| </td>
| |
| <td style="text-align: center;">3 3 3 2<br />
| |
| </td>
| |
| <td style="text-align: center;">Optimum rank range (L/s=3/2)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>440.364<br />
| |
| </td>
| |
| <td style="text-align: center;"><span style="text-align: center;">pi pi pi 2</span><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
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| </td>
| |
| <td>29\<a class="wiki_link" href="/79edo">79</a><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>440.506<br />
| |
| </td>
| |
| <td style="text-align: center;">8 8 8 5<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
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| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
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| </td>
| |
| <td><br />
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| </td>
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| <td><br />
| |
| </td>
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| <td><br />
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| </td>
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| <td>440.592<br />
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| </td>
| |
| <td style="text-align: center;"><span style="display: block; text-align: center;">phi phi phi 1</span><br />
| |
| </td>
| |
| <td><br />
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| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>47\128<br />
| |
| </td>
| |
| <td>440.625<br />
| |
| </td>
| |
| <td style="text-align: center;">13 13 13 8<br />
| |
| </td>
| |
| <td style="text-align: center;">Unnamed golden temperament<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>18\<a class="wiki_link" href="/49edo">49</a><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>440.816<br />
| |
| </td>
| |
| <td style="text-align: center;">5 5 5 3<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><br />
| |
| </td>
| |
| <td>441.101<br />
| |
| </td>
| |
| <td style="text-align: center;"><span style="background-color: #ffffff;">√3 </span>√3 √3 1<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
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| </td>
| |
| <td><br />
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| </td>
| |
| <td>25\<a class="wiki_link" href="/68edo">68</a><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>441.176<br />
| |
| </td>
| |
| <td style="text-align: center;">7 7 7 4<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
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| </td>
| |
| <td>7\<a class="wiki_link" href="/19edo">19</a><br />
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| </td>
| |
| <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>
| |
| <td>442.105<br />
| |
| </td>
| |
| <td style="text-align: center;">2 2 2 1<br />
| |
| </td>
| |
| <td style="text-align: center;">Boundary of propriety: generators smaller than this are proper<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <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>
| |
| <td>24\<a class="wiki_link" href="/65edo">65</a><br />
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| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>443.077<br />
| |
| </td>
| |
| <td style="text-align: center;">7 7 7 3<br />
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| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
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| </td>
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| <td><br />
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| </td>
| |
| <td>17\<a class="wiki_link" href="/46edo">46</a><br />
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| </td>
| |
| <td><br />
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| </td>
| |
| <td><br />
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| </td>
| |
| <td>443.478<br />
| |
| </td>
| |
| <td style="text-align: center;">5 5 5 2<br />
| |
| </td>
| |
| <td style="text-align: center;">Sensi is about here<br />
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| </td>
| |
| </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><br />
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| </td>
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| <td>44\119<br />
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| </td>
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| <td>443.6975<br />
| |
| </td>
| |
| <td style="text-align: center;">13 13 13 5<br />
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| </td>
| |
| <td style="text-align: center;">Golden Sensi<br />
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| </td>
| |
| </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><br />
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| </td>
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| <td><br />
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| </td>
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| <td>443.7355<br />
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| </td>
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| <td style="text-align: center;"><span style="display: block; text-align: center;">phi+1 phi+1 phi+1 1</span><br />
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| </td>
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| <td><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>27\<a class="wiki_link" href="/73edo">73</a><br />
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| </td>
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| <td><br />
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| </td>
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| <td>443.836<br />
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| </td>
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| <td style="text-align: center;">8 8 8 3<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>
| |
| <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><br />
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| </td>
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| <td>443.9385<br />
| |
| </td>
| |
| <td style="text-align: center;">e e e 1<br />
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| </td>
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| <td><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>
| |
| <td>10\<a class="wiki_link" href="/27edo">27</a><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>444.444<br />
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| </td>
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| <td style="text-align: center;">3 3 3 1<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><br />
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| </td>
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| <td>444.668<br />
| |
| </td>
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| <td style="text-align: center;">pi pi pi 1<br />
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| </td>
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| <td><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>13\<a class="wiki_link" href="/35edo">35</a><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>445.714<br />
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| </td>
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| <td style="text-align: center;">4 4 4 1<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>16\<a class="wiki_link" href="/43edo">43</a><br />
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| </td>
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| <td><br />
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| </td>
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| <td>446.512<br />
| |
| </td>
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| <td style="text-align: center;">5 5 5 1<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>19\51<br />
| |
| </td>
| |
| <td>447.059<br />
| |
| </td>
| |
| <td style="text-align: center;">6 6 6 1<br />
| |
| </td>
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| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>3\<a class="wiki_link" href="/8edo">8</a><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><br />
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| </td>
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| <td>450<br />
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| </td>
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| <td style="text-align: center;">1 1 1 0<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| </body></html></pre></div>
| | === Generator chain === |
| | {{MOS genchain}} |
| | |
| | === Modes === |
| | {{MOS mode degrees}} |
| | |
| | ==== Proposed mode names ==== |
| | [[User:R-4981|R-4981]] has proposed names based on {{w|shogi}} pieces. |
| | {{MOS modes |
| | | Table Headers= |
| | Shogi-based names<sup>[proposed]</sup> |
| | | Table Entries= |
| | Ōshō (王将) $ |
| | Ryūō (竜王) $ |
| | Ryūma (竜馬) $ |
| | Hisha (飛車) $ |
| | Kaku (角) $ |
| | Kin (金) $ |
| | Gin (銀) $ |
| | Keima (桂馬) $ |
| | Kyo (香) $ |
| | Tokin (と金) $ |
| | Fuhyo (歩兵) $ |
| | }} |
| | |
| | == Scale tree == |
| | {{MOS tuning spectrum |
| | | 13/8 = Golden sentry (440.5922{{c}}) |
| | | 9/5 = [[Clyde]] |
| | | 9/4 = [[Sensei]] |
| | | 12/5 = [[Warrior]] |
| | | 5/2 = [[Sensi]] (optimal around here) |
| | | 13/5 = Golden sensi |
| | }} |
| | |
| | |
| | {{Todo|review|inline=1|text=Make pentachordal analysis its own section (see history of this section)?}} |
| | |
| | [[Category:Sensi]] |
| | [[Category:Triatonic]] |