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| Line 1: |
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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | This is the MOS which splits the small steps 1-2-1-2-1-2-1-1-2-1-1-2 between the large steps. Its generator is a near-perfect fourth of no less than 5/12edo (500 cents), and 53edo falls near the beginning of its boundary of "practicality" and its harmonic entropy minimum of exactly 4/3. |
| 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 17:06:32 UTC</tt>.<br>
| |
| : The original revision id was <tt>566535471</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 which splits the small steps 1-2-1-2-1-2-1-1-2-1-1-2 between the large steps. Its generator is a near-perfect fourth of no less than 5/12edo (500 cents), and 53edo falls near the beginning of its boundary of "practicality" and its harmonic entropy minimum of exactly 4/3.
| |
| || 12/29 || || || || || 496.552 ||
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| || || || || || 53/128 || 496.875 ||
| |
| || || || || 41/99 || || 496.97 ||
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| || || || || || 70/169 || 497.041 ||
| |
| || || || 29/70 || || || 497.143 ||
| |
| || || || || || || 497.211 ||
| |
| || || || || || 75/181 || 497.238 ||
| |
| || || || || || || 497.254 ||
| |
| || || || || 46/111 || || 497.297 ||
| |
| || || || || || || 497.353 ||
| |
| || || || || || 63/152 || 497.368 ||
| |
| || || 17/41 || || || || 497.561 ||
| |
| || || || || || 56/135 || 497.778 ||
| |
| || || || || 39/94 || || 497.842 ||
| |
| || || || || || || 497.935 ||
| |
| || || || || || 61/147 || 497.959 ||
| |
| || || || || || || 497.985 ||
| |
| || || || 22/53 || || || 498.113 ||
| |
| || || || || || || 498.178 ||
| |
| || || || || || 49/118 || 498.305 ||
| |
| || || || || 27/65 || || 498.4615 ||
| |
| || || || || || 32/77 || 498.701 ||
| |
| || 5/12 || || || || || 500 ||</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>12L 17s</title></head><body>This is the MOS which splits the small steps 1-2-1-2-1-2-1-1-2-1-1-2 between the large steps. Its generator is a near-perfect fourth of no less than 5/12edo (500 cents), and 53edo falls near the beginning of its boundary of &quot;practicality&quot; and its harmonic entropy minimum of exactly 4/3.<br />
| |
|
| |
|
| | | {| class="wikitable" |
| <table class="wiki_table">
| | |- |
| <tr>
| | | | 12/29 |
| <td>12/29<br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 496.552 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>496.552<br />
| | | | 53/128 |
| </td>
| | | | 496.875 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 41/99 |
| </td>
| | | | |
| <td><br />
| | | | 496.97 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>53/128<br />
| | | | |
| </td>
| | | | |
| <td>496.875<br />
| | | | 70/169 |
| </td>
| | | | 497.041 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 29/70 |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 497.143 |
| </td>
| | |- |
| <td>41/99<br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>496.97<br />
| | | | |
| </td>
| | | | 497.211 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 75/181 |
| <td><br />
| | | | 497.238 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>70/169<br />
| | | | |
| </td>
| | | | |
| <td>497.041<br />
| | | | |
| </td>
| | | | 497.254 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 46/111 |
| </td>
| | | | |
| <td>29/70<br />
| | | | 497.297 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>497.143<br />
| | | | |
| </td>
| | | | 497.353 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 63/152 |
| <td><br />
| | | | 497.368 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | 17/41 |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>497.211<br />
| | | | |
| </td>
| | | | 497.561 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 56/135 |
| <td><br />
| | | | 497.778 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>75/181<br />
| | | | |
| </td>
| | | | 39/94 |
| <td>497.238<br />
| | | | |
| </td>
| | | | 497.842 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 497.935 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>497.254<br />
| | | | 61/147 |
| </td>
| | | | 497.959 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 497.985 |
| </td>
| | |- |
| <td>46/111<br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 22/53 |
| </td>
| | | | |
| <td>497.297<br />
| | | | |
| </td>
| | | | 498.113 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 498.178 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>497.353<br />
| | | | 49/118 |
| </td>
| | | | 498.305 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 27/65 |
| </td>
| | | | |
| <td><br />
| | | | 498.4615 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>63/152<br />
| | | | |
| </td>
| | | | |
| <td>497.368<br />
| | | | 32/77 |
| </td>
| | | | 498.701 |
| </tr>
| | |- |
| <tr>
| | | | 5/12 |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>17/41<br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 500 |
| </td>
| | |} |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>497.561<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>56/135<br />
| |
| </td>
| |
| <td>497.778<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>39/94<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>497.842<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>497.935<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>61/147<br />
| |
| </td>
| |
| <td>497.959<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>497.985<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>22/53<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>498.113<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>498.178<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>49/118<br />
| |
| </td>
| |
| <td>498.305<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>27/65<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>498.4615<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
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| <td>32/77<br />
| |
| </td>
| |
| <td>498.701<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>5/12<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>500<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
| | |
| </body></html></pre></div>
| |
This is the MOS which splits the small steps 1-2-1-2-1-2-1-1-2-1-1-2 between the large steps. Its generator is a near-perfect fourth of no less than 5/12edo (500 cents), and 53edo falls near the beginning of its boundary of "practicality" and its harmonic entropy minimum of exactly 4/3.
| 12/29
|
|
|
|
|
496.552
|
|
|
|
|
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53/128
|
496.875
|
|
|
|
|
41/99
|
|
496.97
|
|
|
|
|
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70/169
|
497.041
|
|
|
|
29/70
|
|
|
497.143
|
|
|
|
|
|
|
497.211
|
|
|
|
|
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75/181
|
497.238
|
|
|
|
|
|
|
497.254
|
|
|
|
|
46/111
|
|
497.297
|
|
|
|
|
|
|
497.353
|
|
|
|
|
|
63/152
|
497.368
|
|
|
17/41
|
|
|
|
497.561
|
|
|
|
|
|
56/135
|
497.778
|
|
|
|
|
39/94
|
|
497.842
|
|
|
|
|
|
|
497.935
|
|
|
|
|
|
61/147
|
497.959
|
|
|
|
|
|
|
497.985
|
|
|
|
22/53
|
|
|
498.113
|
|
|
|
|
|
|
498.178
|
|
|
|
|
|
49/118
|
498.305
|
|
|
|
|
27/65
|
|
498.4615
|
|
|
|
|
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32/77
|
498.701
|
| 5/12
|
|
|
|
|
500
|