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| Line 1: |
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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | This MOS is the simplest that has a tritone as the only possible size of a generator since the smallest size for a tritone is defined to be 7/15edo (560 cents). Since its generator is a tritone, it harmonic entropy minimum is where the generator is 7/5. |
| 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>2015-11-14 14:52:50 UTC</tt>.<br>
| |
| : The original revision id was <tt>566464651</tt>.<br>
| |
| : The revision comment was: <tt></tt><br>
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| 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 MOS is the simplest that has a tritone as the only possible size of a generator since the smallest size for a tritone is defined to be 7/15edo (560 cents). Since its generator is a tritone, it harmonic entropy minimum is where the generator is 7/5.
| |
| || 1/2 || || || || || 600 ||
| |
| || || || || || 11/23 || 573.913 ||
| |
| || || || || 10/21 || || 571.429 ||
| |
| || || || || || 19/40 || 570 ||
| |
| || || || || || || 568.885 ||
| |
| || || || 9/19 || || || 568.421 ||
| |
| || || || || || || 567.446 ||
| |
| || || || || || 26/55 || 567.273 ||
| |
| || || || || || || 567.098 ||
| |
| || || || || 17/36 || || 566.667 ||
| |
| || || || || || 25/53 || 566.038 ||
| |
| || || 8/17 || || || || 564.706 ||
| |
| || || || || || 31/66 || 563.818 ||
| |
| || || || || || || 563.557 ||
| |
| || || || || 23/49 || || 563.265 ||
| |
| || || || || || || 563.045 ||
| |
| || || || || || 38/81 || 562.963 ||
| |
| || || || || || || 562,829 ||
| |
| || || || 15/32 || || || 562.5 ||
| |
| || || || || || 37/79 || 562.025 ||
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| || || || || 22/47 || || 561.702 ||
| |
| || || || || || 29/62 || 561.290 ||
| |
| || 7/15 || || || || || 560 ||</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 13s</title></head><body>This MOS is the simplest that has a tritone as the only possible size of a generator since the smallest size for a tritone is defined to be 7/15edo (560 cents). Since its generator is a tritone, it harmonic entropy minimum is where the generator is 7/5.<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 />
| | | | 11/23 |
| </td>
| | | | 573.913 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 10/21 |
| </td>
| | | | |
| <td><br />
| | | | 571.429 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>11/23<br />
| | | | |
| </td>
| | | | |
| <td>573.913<br />
| | | | 19/40 |
| </td>
| | | | 570 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 568.885 |
| </td>
| | |- |
| <td>10/21<br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 9/19 |
| </td>
| | | | |
| <td>571.429<br />
| | | | |
| </td>
| | | | 568.421 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 567.446 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>19/40<br />
| | | | |
| </td>
| | | | |
| <td>570<br />
| | | | 26/55 |
| </td>
| | | | 567.273 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 567.098 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 17/36 |
| <td>568.885<br />
| | | | |
| </td>
| | | | 566.667 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 25/53 |
| <td>9/19<br />
| | | | 566.038 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | 8/17 |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>568.421<br />
| | | | |
| </td>
| | | | 564.706 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 31/66 |
| <td><br />
| | | | 563.818 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>567.446<br />
| | | | |
| </td>
| | | | 563.557 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 23/49 |
| </td>
| | | | |
| <td><br />
| | | | 563.265 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>26/55<br />
| | | | |
| </td>
| | | | |
| <td>567.273<br />
| | | | |
| </td>
| | | | 563.045 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 38/81 |
| <td><br />
| | | | 562.963 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>567.098<br />
| | | | |
| </td>
| | | | 562,829 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 15/32 |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 562.5 |
| </td>
| | |- |
| <td>17/36<br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>566.667<br />
| | | | 37/79 |
| </td>
| | | | 562.025 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 22/47 |
| </td>
| | | | |
| <td><br />
| | | | 561.702 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>25/53<br />
| | | | |
| </td>
| | | | |
| <td>566.038<br />
| | | | 29/62 |
| </td>
| | | | 561.290 |
| </tr>
| | |- |
| <tr>
| | | | 7/15 |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>8/17<br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 560 |
| </td>
| | |} |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>564.706<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>31/66<br />
| |
| </td>
| |
| <td>563.818<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>563.557<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>23/49<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>563.265<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>563.045<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>38/81<br />
| |
| </td>
| |
| <td>562.963<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>562,829<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>15/32<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>562.5<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>37/79<br />
| |
| </td>
| |
| <td>562.025<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>22/47<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>561.702<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>29/62<br />
| |
| </td>
| |
| <td>561.290<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7/15<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>560<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
| | |
| </body></html></pre></div>
| |
This MOS is the simplest that has a tritone as the only possible size of a generator since the smallest size for a tritone is defined to be 7/15edo (560 cents). Since its generator is a tritone, it harmonic entropy minimum is where the generator is 7/5.
| 1/2
|
|
|
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|
600
|
|
|
|
|
|
11/23
|
573.913
|
|
|
|
|
10/21
|
|
571.429
|
|
|
|
|
|
19/40
|
570
|
|
|
|
|
|
|
568.885
|
|
|
|
9/19
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|
|
568.421
|
|
|
|
|
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|
567.446
|
|
|
|
|
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26/55
|
567.273
|
|
|
|
|
|
|
567.098
|
|
|
|
|
17/36
|
|
566.667
|
|
|
|
|
|
25/53
|
566.038
|
|
|
8/17
|
|
|
|
564.706
|
|
|
|
|
|
31/66
|
563.818
|
|
|
|
|
|
|
563.557
|
|
|
|
|
23/49
|
|
563.265
|
|
|
|
|
|
|
563.045
|
|
|
|
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|
38/81
|
562.963
|
|
|
|
|
|
|
562,829
|
|
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|
15/32
|
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|
562.5
|
|
|
|
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37/79
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562.025
|
|
|
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22/47
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|
561.702
|
|
|
|
|
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29/62
|
561.290
|
| 7/15
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|
|
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|
560
|