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| Line 1: |
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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | This is the MOS where the small steps split 10-9 between the large steps. With a generator no smaller than 10/21edo (571.429 cents), it achieves a harmonic entropy minimum at generator = 7/5 (almost exactly 17/35edo). |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| |
| : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-11-15 15:24:51 UTC</tt>.<br>
| |
| : The original revision id was <tt>566526355</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">This is the MOS where the small steps split 10-9 between the large steps. With a generator no smaller than 10/21edo (571.429 cents), it achieves a harmonic entropy minimum at generator = 7/5 (almost exactly 17/35edo).
| |
| || 1/2 || || || || || 600 ||
| |
| || || || || || 14/29 || 579.31 ||
| |
| || || || || 13/27 || || 577.778 ||
| |
| || || || || || 25/52 || 576.923 ||
| |
| || || || || || || 576.269 ||
| |
| || || || 12/25 || || || 576 ||
| |
| || || || || || || 575.447 ||
| |
| || || || || || 35/73 || 575.3425 ||
| |
| || || || || || || 575.2435 ||
| |
| || || || || 23/48 || || 575 ||
| |
| || || || || || 34/71 || 574.648 ||
| |
| || || 11/23 || || || || 573.913 ||
| |
| || || || || || 43/90 || 573.333 ||
| |
| || || || || || || 573.291 ||
| |
| || || || || 32/67 || || 573.134 ||
| |
| || || || || || || 573.017 ||
| |
| || || || || || 53/111 || 572.973 ||
| |
| || || || || || || 572.902 ||
| |
| || || || 21/44 || || || 572.727 ||
| |
| || || || || || 52/109 || 572.477 ||
| |
| || || || || 31/65 || || 572.308 ||
| |
| || || || || || 41/86 || 572.093 ||
| |
| || 10/21 || || || || || 571.429 ||</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>2L 19s</title></head><body>This is the MOS where the small steps split 10-9 between the large steps. With a generator no smaller than 10/21edo (571.429 cents), it achieves a harmonic entropy minimum at generator = 7/5 (almost exactly 17/35edo).<br />
| |
|
| |
|
| | | {| class="wikitable" |
| <table class="wiki_table">
| | |- |
| <tr>
| | | | 1/2 |
| <td>1/2<br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 600 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>600<br />
| | | | 14/29 |
| </td>
| | | | 579.31 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 13/27 |
| </td>
| | | | |
| <td><br />
| | | | 577.778 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>14/29<br />
| | | | |
| </td>
| | | | |
| <td>579.31<br />
| | | | 25/52 |
| </td>
| | | | 576.923 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 576.269 |
| </td>
| | |- |
| <td>13/27<br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 12/25 |
| </td>
| | | | |
| <td>577.778<br />
| | | | |
| </td>
| | | | 576 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 575.447 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>25/52<br />
| | | | |
| </td>
| | | | |
| <td>576.923<br />
| | | | 35/73 |
| </td>
| | | | 575.3425 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 575.2435 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 23/48 |
| <td>576.269<br />
| | | | |
| </td>
| | | | 575 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 34/71 |
| <td>12/25<br />
| | | | 574.648 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | 11/23 |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>576<br />
| | | | |
| </td>
| | | | 573.913 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 43/90 |
| <td><br />
| | | | 573.333 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>575.447<br />
| | | | |
| </td>
| | | | 573.291 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 32/67 |
| </td>
| | | | |
| <td><br />
| | | | 573.134 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>35/73<br />
| | | | |
| </td>
| | | | |
| <td>575.3425<br />
| | | | |
| </td>
| | | | 573.017 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 53/111 |
| <td><br />
| | | | 572.973 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>575.2435<br />
| | | | |
| </td>
| | | | 572.902 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 21/44 |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 572.727 |
| </td>
| | |- |
| <td>23/48<br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>575<br />
| | | | 52/109 |
| </td>
| | | | 572.477 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 31/65 |
| </td>
| | | | |
| <td><br />
| | | | 572.308 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>34/71<br />
| | | | |
| </td>
| | | | |
| <td>574.648<br />
| | | | 41/86 |
| </td>
| | | | 572.093 |
| </tr>
| | |- |
| <tr>
| | | | 10/21 |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>11/23<br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 571.429 |
| </td>
| | |} |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>573.913<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>43/90<br />
| |
| </td>
| |
| <td>573.333<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>573.291<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>32/67<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>573.134<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>573.017<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>53/111<br />
| |
| </td>
| |
| <td>572.973<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>572.902<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
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| <td>21/44<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>572.727<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
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| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
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| <td>52/109<br />
| |
| </td>
| |
| <td>572.477<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
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| <td><br />
| |
| </td>
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| <td>31/65<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
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| <td>572.308<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
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| <td><br />
| |
| </td>
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| <td>41/86<br />
| |
| </td>
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| <td>572.093<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
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| <td>10/21<br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
| |
| </td>
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| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
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| <td>571.429<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
| | |
| </body></html></pre></div>
| |
This is the MOS where the small steps split 10-9 between the large steps. With a generator no smaller than 10/21edo (571.429 cents), it achieves a harmonic entropy minimum at generator = 7/5 (almost exactly 17/35edo).
| 1/2
|
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|
600
|
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|
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14/29
|
579.31
|
|
|
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13/27
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|
577.778
|
|
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25/52
|
576.923
|
|
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576.269
|
|
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|
12/25
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|
576
|
|
|
|
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575.447
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35/73
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575.3425
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|
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575.2435
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23/48
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|
575
|
|
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34/71
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574.648
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|
11/23
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|
573.913
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43/90
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573.333
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573.291
|
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32/67
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|
573.134
|
|
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573.017
|
|
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53/111
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572.973
|
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572.902
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21/44
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572.727
|
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52/109
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572.477
|
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31/65
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572.308
|
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41/86
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572.093
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| 10/21
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571.429
|