4L 7s
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author JosephRuhf and made on 2012-05-07 21:52:47 UTC.
- The original revision id was 331503022.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
This MOS, like 8L 3s, has no proper harmonic entropy minimum, which composers may see as either a bug or a feature. It is generated by an approximate 6/5 minor third between 300 (1\4edo) and 327.__27__¢ (3\11edo). || 1/4 || || || || || || || || 300¢ ||= || || || || || || || || || 10/39 || 307.69231 || || || || || || || || || 9/35 || || 308.57143 || || || || || || || || || || 17/66 || 309.__09__ || || || || || || || || 8/31 || || || 309.67742 || || || || || || || || || || 23/89 || 310.11236 || || || || || || || || || 15/58 || || 310.34483 || || || || || || || || || || 22/85 || 310.588235 || || || || || || || 7/27 || || || || 311.__1__ ||= || || || || || || || || || 27/104 || 311.53846 || || || || || || || || || 20/77 || || 311.68831 || || || || || || || || || || 33/127 || 311.81102 || || || || || || || || 13/50 || || || 312 || || || || || || || || || || 32/123 || 312.__19512__ || || || || || || || || || 19/73 || || 312.32877 || || || || || || || || || || 25/96 || 312.5 || || || || || || 6/23 || || || || || 313.04348 ||= || || || || || || || || || 29/111 || 313.__513__ || || || || || || || || || 23/88 || || 313.__63__ || || || || || || || || || || 40/153 || 313.72549 || || || || || || || || 17/65 || || || 313.84615 || || || || || || || || || || 45/172 || 313.95349 || || || || || || || || || 28/107 || || 314.01869 || || || || || || || || || || 39/149 || 314.09396 || || || || || || || 11/42 || || || || 314.28751 ||= || || || || || || || || || 38/145 || 314.48276 || || || || || || || || || 27/103 || || 314.56311 || || || || || || || || || || 43/164 || 314.__63414__ || || || || || || || || 16/61 || || || 314.7541 || || || || || || || || || || 37/141 || 314.89362 || || || || || || || || || 21/80 || || 315 || || || || || || || || || || 26/99 || 315.__15__ || || || || || 5/19 || || || || || || 315.78947 ||= || || || || || || || || || 29/110 || 316.__36__ || || || || || || || || || 24/91 || || 316.48352 || || || || || || || || || || 43/163 || 316.56442 || || || || || || || || 19/72 || || || 316.__6__ || || || || || || || || || || 52/197 || 316.75127 || || || || || || || || || 33/125 || || 316.8 || || || || || || || || || || 47/178 || 316.85393 || || || || || || || 14/53 || || || || 316.98113 ||= || || || || || || || || || 51/193 || 317.09845 || || || || || || || || || 37/140 || || 317.14286 || || || || || || || || || || 60/227 || 317.18062 || || || || || || || || 23/87 || || || 317.24137 || || || || || || || || || || 55/208 || 317.30769 || || || || || || || || || 32/121 || || 317.35537 || || || || || || || || || || 41/155 || 317.419355 || || || || || || 9/34 || || || || || 317.64706 ||= || || || || || || || || || 40/151 || 317.880795 || || || || || || || || || 31/117 || || 317.94872 || || || || || || || || || || 53/200 || 318 || || || || || || || || 22/83 || || || 318.07229 || || || || || || || || || || 57/215 || 318.139535 || || || || || || || || || 35/132 || || 318.__18__ || || || || || || || || || || 48/181 || 318.23204 || || || || || || || 13/49 || || || || 318.36735 ||= || || || || || || || || || 43/162 || 318.__518__ || || || || || || || || || 30/113 || || 318.58407 || || || || || || || || || || 47/177 || 318.64407 || || || || || || || || 17/64 || || || 318.75 || || || || || || || || || || 38/143 || 318.88112 || || || || || || || || || 21/79 || || 318.98734 || || || || || || || || || || 25/94 || 319.14894 || || || || 4/15 || || || || || || || 320 ||= Boundary of propriety (generators larger than this are proper) || || 3/11 || || || || || || || || 327.__27__ ||= ||
Original HTML content:
<html><head><title>4L 7s</title></head><body>This MOS, like 8L 3s, has no proper harmonic entropy minimum, which composers may see as either a bug or a feature. It is generated by an approximate 6/5 minor third between 300 (1\4edo) and 327.<u>27</u>¢ (3\11edo).<br />
<br />
<table class="wiki_table">
<tr>
<td>1/4<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>300¢<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><br />
</td>
<td>10/39<br />
</td>
<td>307.69231<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>9/35<br />
</td>
<td><br />
</td>
<td>308.57143<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>17/66<br />
</td>
<td>309.<u>09</u><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>8/31<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>309.67742<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>23/89<br />
</td>
<td>310.11236<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>15/58<br />
</td>
<td><br />
</td>
<td>310.34483<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>22/85<br />
</td>
<td>310.588235<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>7/27<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>311.<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><br />
</td>
<td><br />
</td>
<td>27/104<br />
</td>
<td>311.53846<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>20/77<br />
</td>
<td><br />
</td>
<td>311.68831<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>33/127<br />
</td>
<td>311.81102<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>13/50<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>312<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>32/123<br />
</td>
<td>312.<u>19512</u><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>19/73<br />
</td>
<td><br />
</td>
<td>312.32877<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>25/96<br />
</td>
<td>312.5<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>6/23<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>313.04348<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><br />
</td>
<td>29/111<br />
</td>
<td>313.<u>513</u><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>23/88<br />
</td>
<td><br />
</td>
<td>313.<u>63</u><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>40/153<br />
</td>
<td>313.72549<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>17/65<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>313.84615<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>45/172<br />
</td>
<td>313.95349<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>28/107<br />
</td>
<td><br />
</td>
<td>314.01869<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>39/149<br />
</td>
<td>314.09396<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>11/42<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>314.28751<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><br />
</td>
<td>38/145<br />
</td>
<td>314.48276<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>27/103<br />
</td>
<td><br />
</td>
<td>314.56311<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>43/164<br />
</td>
<td>314.<u>63414</u><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>16/61<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>314.7541<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>37/141<br />
</td>
<td>314.89362<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>21/80<br />
</td>
<td><br />
</td>
<td>315<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>26/99<br />
</td>
<td>315.<u>15</u><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>5/19<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>315.78947<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><br />
</td>
<td>29/110<br />
</td>
<td>316.<u>36</u><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>24/91<br />
</td>
<td><br />
</td>
<td>316.48352<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>43/163<br />
</td>
<td>316.56442<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>19/72<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>316.<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><br />
</td>
<td><br />
</td>
<td>52/197<br />
</td>
<td>316.75127<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>33/125<br />
</td>
<td><br />
</td>
<td>316.8<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>47/178<br />
</td>
<td>316.85393<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>14/53<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>316.98113<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><br />
</td>
<td>51/193<br />
</td>
<td>317.09845<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>37/140<br />
</td>
<td><br />
</td>
<td>317.14286<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>60/227<br />
</td>
<td>317.18062<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>23/87<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>317.24137<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>55/208<br />
</td>
<td>317.30769<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>32/121<br />
</td>
<td><br />
</td>
<td>317.35537<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>41/155<br />
</td>
<td>317.419355<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>9/34<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>317.64706<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><br />
</td>
<td>40/151<br />
</td>
<td>317.880795<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>31/117<br />
</td>
<td><br />
</td>
<td>317.94872<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>53/200<br />
</td>
<td>318<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>22/83<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>318.07229<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>57/215<br />
</td>
<td>318.139535<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>35/132<br />
</td>
<td><br />
</td>
<td>318.<u>18</u><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>48/181<br />
</td>
<td>318.23204<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>13/49<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>318.36735<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><br />
</td>
<td>43/162<br />
</td>
<td>318.<u>518</u><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>30/113<br />
</td>
<td><br />
</td>
<td>318.58407<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>47/177<br />
</td>
<td>318.64407<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>17/64<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>318.75<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>38/143<br />
</td>
<td>318.88112<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>21/79<br />
</td>
<td><br />
</td>
<td>318.98734<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>25/94<br />
</td>
<td>319.14894<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>4/15<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>320<br />
</td>
<td style="text-align: center;">Boundary of propriety <br />
(generators larger than this are proper)<br />
</td>
</tr>
<tr>
<td>3/11<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>327.<u>27</u><br />
</td>
<td style="text-align: center;"><br />
</td>
</tr>
</table>
</body></html>