Warped diatonic: Difference between revisions
Wikispaces>keenanpepper **Imported revision 282593160 - Original comment: ** |
Wikispaces>keenanpepper **Imported revision 283477486 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-12- | : This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-12-07 18:13:03 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>283477486</tt>.<br> | ||
: The revision comment was: <tt></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> | 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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The scales at the top and bottom of this table are questionable as "warped diatonics", but the ones near 2x+y=12 are good examples. | The scales at the top and bottom of this table are questionable as "warped diatonics", but the ones near 2x+y=12 are good examples. | ||
||~ 2x+y ||~ Formula ||~ Temperaments/names ||~ 5L2s substrings || | ||~ 2x+y ||~ Formula ||~ Temperaments/names ||~ 5L2s substrings ||~ Comments || | ||
|| 8 || [[3L 2s]] || Father || LsLLsL || | || 8 || [[3L 2s]] || Father || LsLLsL || || | ||
|| 9 || [[4L 1s]] || Bug, superpelog || LLLsLL, LLsLLL || | || 9 || [[4L 1s]] || Bug, superpelog || LLLsLL, LLsLLL || || | ||
|| 10 || [[4L 2s]] || Decimal, lemba || LLsLLsLL || | || 10 || [[4L 2s]] || Decimal, lemba || LLsLLsLL || "Remove one L" || | ||
|| 11 || [[4L 3s]] || Orgone, keemun || LsLLsL || | || 11 || [[4L 3s]] || Orgone, keemun || LsLLsL || "Replace one L with s" || | ||
|| 11 || [[5L 1s]] || Machine, gorgo || LLLsLL, LLsLLL || | || 11 || [[5L 1s]] || Machine, gorgo || LLLsLL, LLsLLL || "Remove one s" || | ||
|| **12** || **[[5L 2s]]** || **Ordinary diatonic** || (infinitely long) || | || **12** || **[[5L 2s]]** || **Ordinary diatonic** || (infinitely long) || || | ||
|| 13 || [[5L 3s]] || Oneirotonic || LsLLsLL, LLsLLsL || | || 13 || [[5L 3s]] || Oneirotonic || LsLLsLL, LLsLLsL || "Add one s" || | ||
|| 13 || [[6L 1s]] || Archeotonic, leantone || LLLsLL, LLsLLL || | || 13 || [[6L 1s]] || Archeotonic, leantone || LLLsLL, LLsLLL || "Replace one s with L" || | ||
|| 14 || [[5L 4s]] || Superpelog, godzilla || LsLLsL || | || 14 || [[5L 4s]] || Superpelog, godzilla || LsLLsL || "Add two s's" || | ||
|| 14 || [[6L 2s]] || Hedgehog || LLsLLLsLL || | || 14 || [[6L 2s]] || Hedgehog || LLsLLLsLL || "Add one L" || | ||
|| 15 || [[6L 3s]] || Triforce || LLsLLsLL || | || 15 || [[6L 3s]] || Triforce || LLsLLsLL || || | ||
|| 15 || [[7L 1s]] || Porcupine || LLLsLL, LLsLLL || | || 15 || [[7L 1s]] || Porcupine || LLLsLL, LLsLLL || || | ||
|| 16 || [[6L 4s]] || Lemba, antikythera || LsLLsL || | || 16 || [[6L 4s]] || Lemba, antikythera || LsLLsL || || | ||
|| 16 || [[7L 2s]] || Mavila || LLsLLLsLL ||</pre></div> | || 16 || [[7L 2s]] || Mavila || LLsLLLsLL || ||</pre></div> | ||
<h4>Original HTML content:</h4> | <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>Warped diatonic</title></head><body>A <strong>warped diatonic scale</strong> is a scale (excluding the diatonic scale itself) that contains relatively long substrings of the <a class="wiki_link" href="/5L%202s">5L 2s</a> diatonic scale (&quot;LLsLLLsLLsLLLs...&quot;) in its sequence of large and small steps, and such that the sizes of those steps are similar to those of the diatonic scale (namely, in the ballpark of 200 and 100 cents).<br /> | <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>Warped diatonic</title></head><body>A <strong>warped diatonic scale</strong> is a scale (excluding the diatonic scale itself) that contains relatively long substrings of the <a class="wiki_link" href="/5L%202s">5L 2s</a> diatonic scale (&quot;LLsLLLsLLsLLLs...&quot;) in its sequence of large and small steps, and such that the sizes of those steps are similar to those of the diatonic scale (namely, in the ballpark of 200 and 100 cents).<br /> | ||
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</th> | </th> | ||
<th>5L2s substrings<br /> | <th>5L2s substrings<br /> | ||
</th> | |||
<th>Comments<br /> | |||
</th> | </th> | ||
</tr> | </tr> | ||
| Line 59: | Line 61: | ||
</td> | </td> | ||
<td>LsLLsL<br /> | <td>LsLLsL<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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</td> | </td> | ||
<td>LLLsLL, LLsLLL<br /> | <td>LLLsLL, LLsLLL<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 79: | Line 85: | ||
</td> | </td> | ||
<td>LLsLLsLL<br /> | <td>LLsLLsLL<br /> | ||
</td> | |||
<td>&quot;Remove one L&quot;<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 89: | Line 97: | ||
</td> | </td> | ||
<td>LsLLsL<br /> | <td>LsLLsL<br /> | ||
</td> | |||
<td>&quot;Replace one L with s&quot;<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 99: | Line 109: | ||
</td> | </td> | ||
<td>LLLsLL, LLsLLL<br /> | <td>LLLsLL, LLsLLL<br /> | ||
</td> | |||
<td>&quot;Remove one s&quot;<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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</td> | </td> | ||
<td>(infinitely long)<br /> | <td>(infinitely long)<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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</td> | </td> | ||
<td>LsLLsLL, LLsLLsL<br /> | <td>LsLLsLL, LLsLLsL<br /> | ||
</td> | |||
<td>&quot;Add one s&quot;<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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</td> | </td> | ||
<td>LLLsLL, LLsLLL<br /> | <td>LLLsLL, LLsLLL<br /> | ||
</td> | |||
<td>&quot;Replace one s with L&quot;<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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</td> | </td> | ||
<td>LsLLsL<br /> | <td>LsLLsL<br /> | ||
</td> | |||
<td>&quot;Add two s's&quot;<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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</td> | </td> | ||
<td>LLsLLLsLL<br /> | <td>LLsLLLsLL<br /> | ||
</td> | |||
<td>&quot;Add one L&quot;<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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</td> | </td> | ||
<td>LLsLLsLL<br /> | <td>LLsLLsLL<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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</td> | </td> | ||
<td>LLLsLL, LLsLLL<br /> | <td>LLLsLL, LLsLLL<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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</td> | </td> | ||
<td>LsLLsL<br /> | <td>LsLLsL<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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</td> | </td> | ||
<td>LLsLLLsLL<br /> | <td>LLsLLLsLL<br /> | ||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||