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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>
| | | Periods = 1 |
| : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2012-05-07 21:55:44 UTC</tt>.<br>
| | | nLargeSteps = 4 |
| : The original revision id was <tt>331504742</tt>.<br>
| | | nSmallSteps = 7 |
| : The revision comment was: <tt></tt><br>
| | | Equalized = 3 |
| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
| | | Collapsed = 1 |
| <h4>Original Wikitext content:</h4>
| | | Pattern = LssLssLssLs |
| <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">This MOS is generated by an approximate 6/5 minor third between 300 (1\[[4edo]]) and 327.__27__¢ (3\[[11edo]]).
| | }} |
| | {{MOS intro}} |
| | One of the [[harmonic entropy]] minimums in this range is [[Kleismic family|Kleismic/Hanson]]. |
|
| |
|
| || 1/4 || || || || || || || || 300¢ ||= ||
| | == Name == |
| || || || || || || || || 10/39 || 307.69231 || ||
| | TAMNAMS formerly used the name ''kleistonic'' for the name of this scale (prefix ''klei-''). Other names include '''p-chro smitonic''' or '''smipechromic'''. |
| || || || || || || || 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__ ||= ||</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>4L 7s</title></head><body>This MOS is generated by an approximate 6/5 minor third between 300 (1\<a class="wiki_link" href="/4edo">4edo</a>) and 327.<u>27</u>¢ (3\<a class="wiki_link" href="/11edo">11edo</a>).<br />
| |
| <br />
| |
|
| |
|
| | == Scale properties == |
| | {{TAMNAMS use}} |
|
| |
|
| <table class="wiki_table">
| | === Intervals === |
| <tr>
| | {{MOS intervals}} |
| <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></pre></div> | | === Generator chain === |
| | {{MOS genchain}} |
| | |
| | === Modes === |
| | {{MOS mode degrees}} |
| | |
| | == Tuning ranges== |
| | === Soft range === |
| | The soft range for tunings of 4L 7s encompasses parasoft and hyposoft tunings. This implies step ratios smaller than 2/1, meaning a generator sharper than {{nowrap|4\15 {{=}} 320{{c}}}}. |
| | |
| | This is the range associated with extensions of [[Orgone|Orgone[7]]]. The small step is recognizable as a near diatonic semitone, while the large step is in the ambiguous area of neutral seconds. |
| | |
| | Soft edos include [[15edo]] and [[26edo]]. |
| | The sizes of the generator, large step and small step of 4L 7s are as follows in various soft tunings: |
| | {| class="wikitable right-2 right-3 right-4" |
| | |- |
| | ! |
| | ! [[15edo]] (basic) |
| | ! [[26edo]] (soft) |
| | ! Some JI approximations |
| | |- |
| | | generator (g) |
| | | 4\15, 320.00 |
| | | 7\26, 323.08 |
| | | 77/64, 6/5 |
| | |- |
| | | L (octave - 3g) |
| | | 2\15, 160.00 |
| | | 3\26, 138.46 |
| | | 12/11, 13/12 |
| | |- |
| | | s (4g - octave) |
| | | 1\15, 80.00 |
| | | 2\19, 92.31 |
| | | 21/20, 22/21, 20/19 |
| | |} |
| | |
| | === Hypohard === |
| | Hypohard tunings of 4L 7s have step ratios between 2/1 and 3/1, implying a generator sharper than {{nowrap|5\19 {{=}} 315.79{{c}}}} and flatter than {{nowrap|4\15 {{=}} 320{{c}}}}. |
| | |
| | This range represents one of the harmonic entropy minimums, where 6 generators make a just diatonic fifth ([[3/2]]), an octave above. This is the range associated with the eponymous Kleismic (aka [[Hanson]]) temperament and its extensions. |
| | |
| | Hypohard edos include [[15edo]], [[19edo]], and [[34edo]]. |
| | The sizes of the generator, large step and small step of 4L 7s are as follows in various hypohard tunings: |
| | {| class="wikitable right-2 right-3 right-4" |
| | |- |
| | ! |
| | ! [[15edo]] (basic) |
| | ! [[19edo]] (hard) |
| | ! [[34edo]] (semihard) |
| | ! Some JI approximations |
| | |- |
| | | generator (g) |
| | | 4\15, 320.00 |
| | | 5\19, 315.79 |
| | | 9\34, 317.65 |
| | | 6/5 |
| | |- |
| | | L ({{nowrap|octave − 3g}}) |
| | | 2\15, 160.00 |
| | | 3\19, 189.47 |
| | | 5\34, 176.47 |
| | | 10/9, 11/10 (in 15edo) |
| | |- |
| | | s ({{nowrap|4g − octave}}) |
| | | 1\15, 80.00 |
| | | 1\19, 63.16 |
| | | 2\34, 70.59 |
| | | 25/24, 26/25 (in better kleismic tunings) |
| | |} |
| | |
| | === Parahard === |
| | Parahard tunings of 4L 7s have step ratios between 3/1 and 4/1, implying a generator sharper than 6\23 = 313.04¢ and flatter than 5\19 = 315.79¢. |
| | |
| | The minor third is at its purest here, but the resulting scales tend to approximate intervals that employ a much higher limit harmony, especially in the case of the superhard 23edo. However, the large step is recognizable as a regular diatonic whole step, approximating both 10/9 and 9/8, while the small step is a slightly sharp of a quarter tone. |
| | |
| | Parahard edos include [[19edo]], 23[[23edo|edo]], and [[42edo]]. |
| | The sizes of the generator, large step and small step of 4L 7s are as follows in various parahard tunings: |
| | {| class="wikitable right-2 right-3 right-4" |
| | |- |
| | ! |
| | ! [[19edo]] (hard) |
| | ! [[23edo]] (superhard) |
| | ! [[42edo]] (parahard) |
| | ! Some JI approximations |
| | |- |
| | | generator (g) |
| | | 5\19, 315.79 |
| | | 6\23, 313.04 |
| | | 11\42, 314.29 |
| | | 6/5 |
| | |- |
| | | L ({{nowrap|octave − 3g}}) |
| | | 3\19, 189.47 |
| | | 4\23, 208.70 |
| | | 7\42, 200.00 |
| | | 10/9, 9/8 |
| | |- |
| | | s ({{nowrap|4g − octave}}) |
| | | 1\19, 63.16 |
| | | 1\23, 52.17 |
| | | 2\42, 57.14 |
| | | 28/27, 33/32 |
| | |} |
| | |
| | === Hyperhard=== |
| | Hyperhard tunings of 4L 7s have step ratios between 4/1 and 6/1, implying a generator sharper than 8\31 = 309.68¢ and flatter than 6\23 = 313.04¢. |
| | |
| | The temperament known as Myna (a pun on "minor third") resides here, as this is the range where 10 generators make a just diatonic fifth (3/2), two octaves above. |
| | These scales are stacked with simple intervals, but are melodically difficult due to the extreme step size disparity, where the small step is generally flat of a quarter tone. |
| | |
| | Hyperhard edos include [[23edo]], [[31edo]], and [[27edo]]. |
| | The sizes of the generator, large step and small step of 4L 7s are as follows in various hyperhard tunings: |
| | {| class="wikitable right-2 right-3 right-4" |
| | |- |
| | ! |
| | ! [[23edo]] (superhard) |
| | ! [[31edo]] (extrahard) |
| | ! [[27edo]] (pentahard) |
| | ! Some JI approximations |
| | |- |
| | | generator (g) |
| | | 6\23, 313.04 |
| | | 8\31, 309.68 |
| | | 7\27, 311.11 |
| | | 6/5 |
| | |- |
| | | L ({{nowrap|octave − 3g}}) |
| | | 4\23, 208.70 |
| | | 6\31, 232.26 |
| | | 5\27, 222.22 |
| | | 8/7, 9/8 |
| | |- |
| | | s ({{nowrap|4g − octave}}) |
| | | 1\23, 52.17 |
| | | 1\31, 38.71 |
| | | 1\27, 44.44 |
| | | 36/35, 45/44 |
| | |} |
| | |
| | == Temperaments == |
| | == Scales == |
| | * [[Oregon11]] |
| | * [[Orgone11]] |
| | * [[Magicaltet11]] |
| | * [[Cata11]] |
| | * [[Starlingtet11]] |
| | * [[Myna11]] |
| | |
| | == Scale tree == |
| | {{MOS tuning spectrum |
| | | 6/5 = [[Oregon]] |
| | | 10/7 = [[Orgone]] |
| | | 11/7 = [[Magicaltet]] |
| | | 13/8 = Golden superklesimic |
| | | 5/3 = [[Superkleismic]] |
| | | 7/3 = [[Catalan]] |
| | | 13/5 = [[Countercata]] |
| | | 8/3 = [[Hanson]]/[[cata]] |
| | | 11/4 = [[Catakleismic]] |
| | | 10/3 = [[Parakleismic]] |
| | | 9/2 = [[Oolong]] |
| | | 5/1 = [[Starlingtet]] |
| | | 6/1 = [[Myna]] |
| | }} |
| | |
| | == Gallery == |
| | [[File:19EDO_Kleistonic_cheat_sheet.png|825x825px|thumb|Cheat sheet for 19EDO, a hard tuning for 4L 7s (or kleistonic).|alt=|left]] |
| | |
| | [[Category:11-tone scales]] |
| | [[Category:Kleistonic]] <!-- main article --> |