8L 3s
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author JosephRuhf and made on 2012-05-04 15:12:06 UTC.
- The original revision id was 330159176.
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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 ||~ Scale steps ||~ Comments || || 4\[[11edo|11]] || || || || || || || 1 1 1 1 1 1 1 1 1 1 1 ||= || || || || || || 19\52 || || || 5 5 4 5 5 5 4 5 5 5 4 || || || || || || 15\[[41edo|41]] || || || || 4 4 3 4 4 4 3 4 4 4 3 ||= || || || || || || 26\[[71edo|71]] || || || 7 7 5 7 7 7 5 7 7 7 5 ||= || || || || || || || 37\101 || || 10 10 7... || || || || || 11\[[30edo|30]] || || || || || 3 3 2 3 3 3 2 3 3 3 2 ||= Optimum rank range (L/s=3/2) || || || || || || 29\[[79edo|79]] || || || 8 8 5 8 8 8 5 8 8 8 5 ||= || || || || || || || 47\128 || || 13 13 8... ||= Unnamed golden temperament || || || || || 18\[[49edo|49]] || || || || 5 5 3 5 5 5 3 5 5 5 3 ||= || || || || || || 25\[[68edo|68]] || || || 7 7 4 7 7 7 4 7 7 7 4 ||= || || || || || || || 32\[[87edo|87]] || || 9 9 5 9 9 9 5 9 9 9 5 ||= || || || || || || || || 39\[[106edo|106]] || 11 11 6... ||= || || || 7\[[19edo|19]] || || || || || || 2 2 1 2 2 2 1 2 2 2 1 ||= Boundary of propriety: generators smaller than this are proper || || || || || || || || 38\[[103edo|103]] || 11 11 5... ||= || || || || || || || 31\[[84edo|84]] || || 9 9 4 9 9 9 4 9 9 9 4 ||= || || || || || || 24\[[65edo|65]] || || || 7 7 3 7 7 7 3 7 7 7 3 ||= || || || || || 17\[[46edo|46]] || || || || 5 5 2 5 5 5 2 5 5 5 2 ||= Sensi is about here || || || || || || 27\[[73edo|73]] || || || 8 8 3 8 8 8 3 8 8 8 3 ||= || || || || || || || 37\[[100edo|100]] || || 11 11 4... ||= || || || || 10\[[27edo|27]] || || || || || 3 3 1 3 3 3 1 3 3 3 1 ||= || || || || || || || 33\89 || || 10 10 3....\ || || || || || || || 23\[[62edo|62]] || || || 7 7 2 7 7 7 2 7 7 7 2 ||= || || || || || 13\[[35edo|35]] || || || || 4 4 1 4 4 4 1 4 4 4 1 ||= || || || || || || 16\[[43edo|43]] || || || 5 5 1 5 5 5 1 5 5 5 1 ||= || || 3\[[8edo|8]] || || || || || || || 1 1 0 1 1 1 0 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 colspan="7">Generator<br />
</th>
<th>Scale 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><br />
</td>
<td>1 1 1 1 1 1 1 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>19\52<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>5 5 4 5 5 5 4 5 5 5 4<br />
</td>
<td><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><br />
</td>
<td>4 4 3 4 4 4 3 4 4 4 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>26\<a class="wiki_link" href="/71edo">71</a><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>7 7 5 7 7 7 5 7 7 7 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>37\101<br />
</td>
<td><br />
</td>
<td>10 10 7...<br />
</td>
<td><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><br />
</td>
<td>3 3 2 3 3 3 2 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><br />
</td>
<td>8 8 5 8 8 8 5 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><br />
</td>
<td>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><br />
</td>
<td>5 5 3 5 5 5 3 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><br />
</td>
<td>7 7 4 7 7 7 4 7 7 7 4<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>32\<a class="wiki_link" href="/87edo">87</a><br />
</td>
<td><br />
</td>
<td>9 9 5 9 9 9 5 9 9 9 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><br />
</td>
<td>39\<a class="wiki_link" href="/106edo">106</a><br />
</td>
<td>11 11 6...<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><br />
</td>
<td>2 2 1 2 2 2 1 2 2 2 1<br />
</td>
<td style="text-align: center;">Boundary of propriety: generators<br />
smaller than this are proper<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>38\<a class="wiki_link" href="/103edo">103</a><br />
</td>
<td>11 11 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>31\<a class="wiki_link" href="/84edo">84</a><br />
</td>
<td><br />
</td>
<td>9 9 4 9 9 9 4 9 9 9 4<br />
</td>
<td style="text-align: center;"><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><br />
</td>
<td>7 7 3 7 7 7 3 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><br />
</td>
<td>5 5 2 5 5 5 2 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>27\<a class="wiki_link" href="/73edo">73</a><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>8 8 3 8 8 8 3 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>37\<a class="wiki_link" href="/100edo">100</a><br />
</td>
<td><br />
</td>
<td>11 11 4...<br />
</td>
<td style="text-align: center;"><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><br />
</td>
<td>3 3 1 3 3 3 1 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>33\89<br />
</td>
<td><br />
</td>
<td>10 10 3....\<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>23\<a class="wiki_link" href="/62edo">62</a><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>7 7 2 7 7 7 2 7 7 7 2<br />
</td>
<td style="text-align: center;"><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><br />
</td>
<td>4 4 1 4 4 4 1 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><br />
</td>
<td>5 5 1 5 5 5 1 5 5 5 1<br />
</td>
<td style="text-align: center;"><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><br />
</td>
<td>1 1 0 1 1 1 0 1 1 1 0<br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
</table>
</body></html>