8L 3s
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author JosephRuhf and made on 2015-02-11 19:54:59 UTC.
- The original revision id was 540683726.
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Original Wikitext content:
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 || || 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) || || || || || || 29\[[79edo|79]] || || 440.506 ||= 8 8 8 5 ||= || || || || || || || 47\128 || 440.625 ||= 13 13 13 8 ||= Unnamed golden temperament || || || || || 18\[[49edo|49]] || || || 440.816 ||= 5 5 5 3 ||= || || || || || || 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 || || || || || || 27\[[73edo|73]] || || 443.836 ||= 8 8 8 3 ||= || || || || || || || || 444.399 ||= 2.97 2.97 2.97 2.97 1 || || || || || 10\[[27edo|27]] || || || || 444.444 ||= 3 3 3 1 ||= || || || || || || || || 444.490 ||= 3.03 3.03 3.03 3.03 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 ||= ||
Original HTML content:
<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 />
<br />
<table class="wiki_table">
<tr>
<th>Generator<br />
</th>
<th><br />
</th>
<th><br />
</th>
<th><br />
</th>
<th><br />
</th>
<th><br />
</th>
<th><br />
</th>
<th>Pentachord steps<br />
</th>
<th>Comments<br />
</th>
</tr>
<tr>
<td>4\<a class="wiki_link" href="/11edo">11</a><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>436.364<br />
</td>
<td style="text-align: center;">1 1 1 1<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>23\63<br />
</td>
<td>438.095<br />
</td>
<td style="text-align: center;">6 6 6 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>19\52<br />
</td>
<td><br />
</td>
<td>438.462<br />
</td>
<td style="text-align: center;">5 5 5 4<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>15\<a class="wiki_link" href="/41edo">41</a><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>439.024<br />
</td>
<td style="text-align: center;">4 4 4 3<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>11\<a class="wiki_link" href="/30edo">30</a><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>440<br />
</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>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 />
</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>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 />
</td>
<td>7\<a class="wiki_link" href="/19edo">19</a><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</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 />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>24\<a class="wiki_link" href="/65edo">65</a><br />
</td>
<td><br />
</td>
<td>443.077<br />
</td>
<td style="text-align: center;">7 7 7 3<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>17\<a class="wiki_link" href="/46edo">46</a><br />
</td>
<td><br />
</td>
<td><br />
</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 />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>44\119<br />
</td>
<td>443.6975<br />
</td>
<td style="text-align: center;">13 13 13 5<br />
</td>
<td style="text-align: center;">Golden Sensi<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>27\<a class="wiki_link" href="/73edo">73</a><br />
</td>
<td><br />
</td>
<td>443.836<br />
</td>
<td style="text-align: center;">8 8 8 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>444.399<br />
</td>
<td style="text-align: center;">2.97 2.97 2.97 2.97 1<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>10\<a class="wiki_link" href="/27edo">27</a><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>444.444<br />
</td>
<td style="text-align: center;">3 3 3 1<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>444.490<br />
</td>
<td style="text-align: center;">3.03 3.03 3.03 3.03 1<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>13\<a class="wiki_link" href="/35edo">35</a><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>445.714<br />
</td>
<td style="text-align: center;">4 4 4 1<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>16\<a class="wiki_link" href="/43edo">43</a><br />
</td>
<td><br />
</td>
<td>446.512<br />
</td>
<td style="text-align: center;">5 5 5 1<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>19\51<br />
</td>
<td>447.059<br />
</td>
<td style="text-align: center;">6 6 6 1<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>3\<a class="wiki_link" href="/8edo">8</a><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>450<br />
</td>
<td style="text-align: center;">1 1 1 0<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
</table>
</body></html>