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| Line 1: |
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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | This MOS, with a period running L 2s L 2s L 2s L 2s L s, has a generator between 1/5edo (240 cents) and 3/14edo (257.143). 4/3 being approximated by +2 generators, the generator is called a semi-fourth. The most salient feature of the semi-fourth interval is that it is an ambiguous 8/7~7/6, or an approximate 15/13 if the scale is viewed as involving factors of 13. |
| 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 14:12:06 UTC</tt>.<br>
| |
| : The original revision id was <tt>566462129</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 MOS, with a period running L 2s L 2s L 2s L 2s L s, has a generator between 1/5edo (240 cents) and 3/14edo (257.143). 4/3 being approximated by +2 generators, the generator is called a semi-fourth. The most salient feature of the semi-fourth interval is that it is an ambiguous 8/7~7/6, or an approximate 15/13 if the scale is viewed as involving factors of 13.
| |
| || 1/5 || || || || || 240 ||
| |
| || || || || || 7/34 || 247.059 ||
| |
| || || || || 6/29 || || 248.276 ||
| |
| || || || || || 11/53 || 249.057 ||
| |
| || || || || || || 249.7135 ||
| |
| || || || 5/24 || || || 250 ||
| |
| || || || || || || 250.6235 ||
| |
| || || || || || 14/67 || 250.746 ||
| |
| || || || || || || 250.865 ||
| |
| || || || || 9/43 || || 251.163 ||
| |
| || || || || || 13/62 || 251.613 ||
| |
| || || 4/19 || || || || 252.632 ||
| |
| || || || || || 15/71 || 253.521 ||
| |
| || || || || || || 253.59 ||
| |
| || || || || 11/52 || || 253.846 ||
| |
| || || || || || || 254.043 ||
| |
| || || || || || 18/85 || 254.118 ||
| |
| || || || || || || 254.24 ||
| |
| || || || 7/33 || || || 254.5455 ||
| |
| || || || || || 17/80 || 255 ||
| |
| || || || || 10/47 || || 255.319 ||
| |
| || || || || || 13/61 || 255.738 ||
| |
| || 3/14 || || || || || 257.143 ||</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>5L 9s</title></head><body>This MOS, with a period running L 2s L 2s L 2s L 2s L s, has a generator between 1/5edo (240 cents) and 3/14edo (257.143). 4/3 being approximated by +2 generators, the generator is called a semi-fourth. The most salient feature of the semi-fourth interval is that it is an ambiguous 8/7~7/6, or an approximate 15/13 if the scale is viewed as involving factors of 13.<br />
| |
|
| |
|
| | | {| class="wikitable" |
| <table class="wiki_table">
| | |- |
| <tr>
| | | | 1/5 |
| <td>1/5<br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 240 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>240<br />
| | | | 7/34 |
| </td>
| | | | 247.059 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 6/29 |
| </td>
| | | | |
| <td><br />
| | | | 248.276 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>7/34<br />
| | | | |
| </td>
| | | | |
| <td>247.059<br />
| | | | 11/53 |
| </td>
| | | | 249.057 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 249.7135 |
| </td>
| | |- |
| <td>6/29<br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 5/24 |
| </td>
| | | | |
| <td>248.276<br />
| | | | |
| </td>
| | | | 250 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 250.6235 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>11/53<br />
| | | | |
| </td>
| | | | |
| <td>249.057<br />
| | | | 14/67 |
| </td>
| | | | 250.746 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 250.865 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 9/43 |
| <td>249.7135<br />
| | | | |
| </td>
| | | | 251.163 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 13/62 |
| <td>5/24<br />
| | | | 251.613 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | 4/19 |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>250<br />
| | | | |
| </td>
| | | | 252.632 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 15/71 |
| <td><br />
| | | | 253.521 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>250.6235<br />
| | | | |
| </td>
| | | | 253.59 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 11/52 |
| </td>
| | | | |
| <td><br />
| | | | 253.846 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>14/67<br />
| | | | |
| </td>
| | | | |
| <td>250.746<br />
| | | | |
| </td>
| | | | 254.043 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 18/85 |
| <td><br />
| | | | 254.118 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>250.865<br />
| | | | |
| </td>
| | | | 254.24 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | 7/33 |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 254.5455 |
| </td>
| | |- |
| <td>9/43<br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>251.163<br />
| | | | 17/80 |
| </td>
| | | | 255 |
| </tr>
| | |- |
| <tr>
| | | | |
| <td><br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 10/47 |
| </td>
| | | | |
| <td><br />
| | | | 255.319 |
| </td>
| | |- |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>13/62<br />
| | | | |
| </td>
| | | | |
| <td>251.613<br />
| | | | 13/61 |
| </td>
| | | | 255.738 |
| </tr>
| | |- |
| <tr>
| | | | 3/14 |
| <td><br />
| | | | |
| </td>
| | | | |
| <td>4/19<br />
| | | | |
| </td>
| | | | |
| <td><br />
| | | | 257.143 |
| </td>
| | |} |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>252.632<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>15/71<br />
| |
| </td>
| |
| <td>253.521<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>253.59<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>11/52<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>253.846<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>254.043<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>18/85<br />
| |
| </td>
| |
| <td>254.118<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>254.24<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>7/33<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>254.5455<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>17/80<br />
| |
| </td>
| |
| <td>255<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>10/47<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>255.319<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>13/61<br />
| |
| </td>
| |
| <td>255.738<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>3/14<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>257.143<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
| | |
| </body></html></pre></div>
| |
This MOS, with a period running L 2s L 2s L 2s L 2s L s, has a generator between 1/5edo (240 cents) and 3/14edo (257.143). 4/3 being approximated by +2 generators, the generator is called a semi-fourth. The most salient feature of the semi-fourth interval is that it is an ambiguous 8/7~7/6, or an approximate 15/13 if the scale is viewed as involving factors of 13.
| 1/5
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|
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|
240
|
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|
|
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|
7/34
|
247.059
|
|
|
|
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6/29
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248.276
|
|
|
|
|
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11/53
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249.057
|
|
|
|
|
|
|
249.7135
|
|
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5/24
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|
250
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|
|
|
|
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250.6235
|
|
|
|
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14/67
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250.746
|
|
|
|
|
|
|
250.865
|
|
|
|
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9/43
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|
251.163
|
|
|
|
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13/62
|
251.613
|
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4/19
|
|
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|
252.632
|
|
|
|
|
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15/71
|
253.521
|
|
|
|
|
|
|
253.59
|
|
|
|
|
11/52
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|
253.846
|
|
|
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254.043
|
|
|
|
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18/85
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254.118
|
|
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254.24
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7/33
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254.5455
|
|
|
|
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17/80
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255
|
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|
|
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10/47
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|
255.319
|
|
|
|
|
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13/61
|
255.738
|
| 3/14
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|
|
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257.143
|