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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | This MOS is the chromatic scale of Semidim, Tridec, Ammonite and Petrtri temperaments. It represents tempered chains of the 13:10 or 17:13 superthird, thus rendering 10:13:17 as an equidistant triad and tempering out 170:169. Also, the ratio between the generator of this MOS and its inverse is close to phi, or even phi itself. |
| 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>2015-11-13 14:51:55 UTC</tt>.<br>
| |
| : The original revision id was <tt>566382649</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>
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| <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 chromatic scale of Semidim, Tridec, Ammonite and Petrtri temperaments. It represents tempered chains of the 13:10 or 17:13 superthird, thus rendering 10:13:17 as an equidistant triad and tempering out 170:169. Also, the ratio between the generator of this MOS and its inverse is close to phi, or even phi itself.
| |
| || || || cents || 2g ||
| |
| || 3/8 || || 450 || 900 ||
| |
| || 17/45 || || 453.333 || 906.667 ||
| |
| || || 31/82 || 453.512 || 907.024 ||
| |
| || 14/37 || || 454.054 || 908.108 ||
| |
| || || 25/66 || 454.5455 || 909.091 ||
| |
| || || || 454.978 || 909.956 ||
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| || 11/29 || || 455.172 || 910.345 ||
| |
| || || || 455.608 || 911.825 ||
| |
| || || 30/79 || 455.696 || 911.392 ||
| |
| || || || 455.782 || 911.563 ||
| |
| || || 19/50 || 456 || 912 ||
| |
| || || 27/71 || 456.338 || 912.676 ||
| |
| || || 35/92 || 456.522 || 913.043 ||
| |
| || 8/21 || || 457.143 || 914.286 ||
| |
| || || 29/76 || 457.684 || 915.368 ||
| |
| || || || 457.955 || 915.91 ||
| |
| || || 21/55 || 458.182 || 916.364 ||
| |
| || || || 458.359 || 916.718 ||
| |
| || || 34/89 || 458.427 || 916.854 ||
| |
| || || || 458.539 || 917.078 ||
| |
| || 13/34 || || 458.8235 || 917.647 ||
| |
| || || 31/81 || 459.259 || 918.5185 ||
| |
| || 18/47 || || 459.5745 || 919.149 ||
| |
| || 23/60 || || 460 || 920 ||
| |
| || 5/13 || || 461.5385 || 923.077 ||</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>8L 5s</title></head><body>This MOS is the chromatic scale of Semidim, Tridec, Ammonite and Petrtri temperaments. It represents tempered chains of the 13:10 or 17:13 superthird, thus rendering 10:13:17 as an equidistant triad and tempering out 170:169. Also, the ratio between the generator of this MOS and its inverse is close to phi, or even phi itself.<br />
| |
|
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|
| | | {| class="wikitable" |
| <table class="wiki_table">
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | cents |
| <td><br />
| | | | 2g |
| </td>
| | |- |
| <td>cents<br />
| | | | 3/8 |
| </td>
| | | | |
| <td>2g<br />
| | | | 450 |
| </td>
| | | | 900 |
| </tr>
| | |- |
| <tr>
| | | | 17/45 |
| <td>3/8<br />
| | | | |
| </td>
| | | | 453.333 |
| <td><br />
| | | | 906.667 |
| </td>
| | |- |
| <td>450<br />
| | | | |
| </td>
| | | | 31/82 |
| <td>900<br />
| | | | 453.512 |
| </td>
| | | | 907.024 |
| </tr>
| | |- |
| <tr>
| | | | 14/37 |
| <td>17/45<br />
| | | | |
| </td>
| | | | 454.054 |
| <td><br />
| | | | 908.108 |
| </td>
| | |- |
| <td>453.333<br />
| | | | |
| </td>
| | | | 25/66 |
| <td>906.667<br />
| | | | 454.5455 |
| </td>
| | | | 909.091 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 454.978 |
| <td>31/82<br />
| | | | 909.956 |
| </td>
| | |- |
| <td>453.512<br />
| | | | 11/29 |
| </td>
| | | | |
| <td>907.024<br />
| | | | 455.172 |
| </td>
| | | | 910.345 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td>14/37<br />
| | | | |
| </td>
| | | | 455.608 |
| <td><br />
| | | | 911.825 |
| </td>
| | |- |
| <td>454.054<br />
| | | | |
| </td>
| | | | 30/79 |
| <td>908.108<br />
| | | | 455.696 |
| </td>
| | | | 911.392 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 455.782 |
| <td>25/66<br />
| | | | 911.563 |
| </td>
| | |- |
| <td>454.5455<br />
| | | | |
| </td>
| | | | 19/50 |
| <td>909.091<br />
| | | | 456 |
| </td>
| | | | 912 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | 27/71 |
| </td>
| | | | 456.338 |
| <td><br />
| | | | 912.676 |
| </td>
| | |- |
| <td>454.978<br />
| | | | |
| </td>
| | | | 35/92 |
| <td>909.956<br />
| | | | 456.522 |
| </td>
| | | | 913.043 |
| </tr>
| | |- |
| <tr>
| | | | 8/21 |
| <td>11/29<br />
| | | | |
| </td>
| | | | 457.143 |
| <td><br />
| | | | 914.286 |
| </td>
| | |- |
| <td>455.172<br />
| | | | |
| </td>
| | | | 29/76 |
| <td>910.345<br />
| | | | 457.684 |
| </td>
| | | | 915.368 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 457.955 |
| <td><br />
| | | | 915.91 |
| </td>
| | |- |
| <td>455.608<br />
| | | | |
| </td>
| | | | 21/55 |
| <td>911.825<br />
| | | | 458.182 |
| </td>
| | | | 916.364 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 458.359 |
| <td>30/79<br />
| | | | 916.718 |
| </td>
| | |- |
| <td>455.696<br />
| | | | |
| </td>
| | | | 34/89 |
| <td>911.392<br />
| | | | 458.427 |
| </td>
| | | | 916.854 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 458.539 |
| <td><br />
| | | | 917.078 |
| </td>
| | |- |
| <td>455.782<br />
| | | | 13/34 |
| </td>
| | | | |
| <td>911.563<br />
| | | | 458.8235 |
| </td>
| | | | 917.647 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | 31/81 |
| </td>
| | | | 459.259 |
| <td>19/50<br />
| | | | 918.5185 |
| </td>
| | |- |
| <td>456<br />
| | | | 18/47 |
| </td>
| | | | |
| <td>912<br />
| | | | 459.5745 |
| </td>
| | | | 919.149 |
| </tr>
| | |- |
| <tr>
| | | | 23/60 |
| <td><br />
| | | | |
| </td>
| | | | 460 |
| <td>27/71<br />
| | | | 920 |
| </td>
| | |- |
| <td>456.338<br />
| | | | 5/13 |
| </td>
| | | | |
| <td>912.676<br />
| | | | 461.5385 |
| </td>
| | | | 923.077 |
| </tr>
| | |} |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td>35/92<br />
| |
| </td>
| |
| <td>456.522<br />
| |
| </td>
| |
| <td>913.043<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
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| <td>8/21<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>457.143<br />
| |
| </td>
| |
| <td>914.286<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td>29/76<br />
| |
| </td>
| |
| <td>457.684<br />
| |
| </td>
| |
| <td>915.368<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>457.955<br />
| |
| </td>
| |
| <td>915.91<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td>21/55<br />
| |
| </td>
| |
| <td>458.182<br />
| |
| </td>
| |
| <td>916.364<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>458.359<br />
| |
| </td>
| |
| <td>916.718<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td>34/89<br />
| |
| </td>
| |
| <td>458.427<br />
| |
| </td>
| |
| <td>916.854<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>458.539<br />
| |
| </td>
| |
| <td>917.078<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13/34<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>458.8235<br />
| |
| </td>
| |
| <td>917.647<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td>31/81<br />
| |
| </td>
| |
| <td>459.259<br />
| |
| </td>
| |
| <td>918.5185<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>18/47<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>459.5745<br />
| |
| </td>
| |
| <td>919.149<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>23/60<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>460<br />
| |
| </td>
| |
| <td>920<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>5/13<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>461.5385<br />
| |
| </td>
| |
| <td>923.077<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
| | |
| </body></html></pre></div>
| |
This MOS is the chromatic scale of Semidim, Tridec, Ammonite and Petrtri temperaments. It represents tempered chains of the 13:10 or 17:13 superthird, thus rendering 10:13:17 as an equidistant triad and tempering out 170:169. Also, the ratio between the generator of this MOS and its inverse is close to phi, or even phi itself.
|
|
|
cents
|
2g
|
| 3/8
|
|
450
|
900
|
| 17/45
|
|
453.333
|
906.667
|
|
|
31/82
|
453.512
|
907.024
|
| 14/37
|
|
454.054
|
908.108
|
|
|
25/66
|
454.5455
|
909.091
|
|
|
|
454.978
|
909.956
|
| 11/29
|
|
455.172
|
910.345
|
|
|
|
455.608
|
911.825
|
|
|
30/79
|
455.696
|
911.392
|
|
|
|
455.782
|
911.563
|
|
|
19/50
|
456
|
912
|
|
|
27/71
|
456.338
|
912.676
|
|
|
35/92
|
456.522
|
913.043
|
| 8/21
|
|
457.143
|
914.286
|
|
|
29/76
|
457.684
|
915.368
|
|
|
|
457.955
|
915.91
|
|
|
21/55
|
458.182
|
916.364
|
|
|
|
458.359
|
916.718
|
|
|
34/89
|
458.427
|
916.854
|
|
|
|
458.539
|
917.078
|
| 13/34
|
|
458.8235
|
917.647
|
|
|
31/81
|
459.259
|
918.5185
|
| 18/47
|
|
459.5745
|
919.149
|
| 23/60
|
|
460
|
920
|
| 5/13
|
|
461.5385
|
923.077
|