2L 4s: Difference between revisions
Wikispaces>guest **Imported revision 248860749 - Original comment: ** |
Wikispaces>guest **Imported revision 249047315 - 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:guest|guest]] and made on <tt>2011-08- | : This revision was by author [[User:guest|guest]] and made on <tt>2011-08-29 03:47:05 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>249047315</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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Srutal/pajara probably has the lowest harmonic entropy of all 6-note MOS scales. The near-MOS version has even lower harmonic entropy. | Srutal/pajara probably has the lowest harmonic entropy of all 6-note MOS scales. The near-MOS version has even lower harmonic entropy. | ||
||||||||||||||||||||||~ Generator ||~ Cents ||~ Comments || | ||||||||||||||||||||||~ Generator ||~ Cents ||~ Comments || | ||
|| 0\2 || || || || || || || || || || || 0 || || | || 0\2 || || || || || || || || || || || 0 ||= || | ||
|| || || || || || || || || || 1\24 || || 50 || || | || || || || || || || || || || 1\24 || || 50 ||= || | ||
|| || || || || || || || || || || 2\46 || 52.17 || Shrutar is around here || | || || || || || || || || || || || 2\46 || 52.17 ||= Shrutar is around here || | ||
|| || || || || || || || || 1\22 || || || 54.55 || || | || || || || || || || || || 1\22 || || || 54.55 ||= || | ||
|| || || || || || || || 1\20 || || || || 60 || || | || || || || || || || || 1\20 || || || || 60 ||= || | ||
|| || || || || || || 1\18 || || || || || 66.67 || || | || || || || || || || 1\18 || || || || || 66.67 ||= || | ||
|| || || || || || 1\16 || || || || || || 75 || || | || || || || || || 1\16 || || || || || || 75 ||= || | ||
|| || || || || 1\14 || || || || || || || 85.71 || || | || || || || || 1\14 || || || || || || || 85.71 ||= || | ||
|| || || || 1\12 || || || || || || || || 100 || || | || || || || 1\12 || || || || || || || || 100 ||= || | ||
|| || || || || 2\22 || || || || || || || 109.09 || Srutal/Pajara is around here || | || || || || || 2\22 || || || || || || || 109.09 ||= Srutal/Pajara is around here || | ||
|| || || 1\10 || || || || || || || || || 120 || || | || || || 1\10 || || || || || || || || || 120 ||= || | ||
|| || 1\8 || || || || || || || || || || 150 ||= Boundary of propriety (generators | || || 1\8 || || || || || || || || || || 150 ||= Boundary of propriety (generators | ||
larger than this are proper) || | larger than this are proper) || | ||
|| || || || 3\22 || || || || || || || || 163.64 || Hedgehog and echidna are both around here || | || || || || 3\22 || || || || || || || || 163.64 ||= Hedgehog and echidna are both around here || | ||
|| || || || || || 8\58 || || || || || || 165.52 || || | || || || || || || 8\58 || || || || || || 165.52 ||= || | ||
|| || || || || || || 13\94 || || || || || 165.96 || Golden hedgehog/echidna || | || || || || || || || 13\94 || || || || || 165.96 ||= Golden hedgehog/echidna || | ||
|| || || || || 5\36 || || || || || || || 166.67 || || | || || || || || 5\36 || || || || || || || 166.67 ||= || | ||
|| || || 2\14 || || || || || || || || || 171.43 || | || || || 2\14 || || || || || || || || || 171.43 ||= Optimum rank range (L/s=3/2) || | ||
|| 1\6 || || || || || || || || || || || 200 || ||</pre></div> | || 1\6 || || || || || || || || || || || 200 ||= ||</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>2L 4s</title></head><body>The only scale with this <a class="wiki_link" href="/MOSScales">MOS</a> pattern that's a really significant minimum of harmonic entropy is <a class="wiki_link" href="/Diaschismic%20family">srutal/pajara</a>, in which the period plus the generator is 3/2. Other scales include shrutar, in which the generator is <strong>half</strong> of that (about a quartertone), so 3/2 is a period plus two generators; and <a class="wiki_link" href="/Porcupine%20family#Hedgehog">hedgehog</a>, in which two generators make a 6/5, and 4/3 would be three generators (except that it doesn't appear in this MOS).<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>2L 4s</title></head><body>The only scale with this <a class="wiki_link" href="/MOSScales">MOS</a> pattern that's a really significant minimum of harmonic entropy is <a class="wiki_link" href="/Diaschismic%20family">srutal/pajara</a>, in which the period plus the generator is 3/2. Other scales include shrutar, in which the generator is <strong>half</strong> of that (about a quartertone), so 3/2 is a period plus two generators; and <a class="wiki_link" href="/Porcupine%20family#Hedgehog">hedgehog</a>, in which two generators make a 6/5, and 4/3 would be three generators (except that it doesn't appear in this MOS).<br /> | ||
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<td>0<br /> | <td>0<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>50<br /> | <td>50<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>52.17<br /> | <td>52.17<br /> | ||
</td> | </td> | ||
<td>Shrutar is around here<br /> | <td style="text-align: center;">Shrutar is around here<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>54.55<br /> | <td>54.55<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>60<br /> | <td>60<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>66.67<br /> | <td>66.67<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>75<br /> | <td>75<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>85.71<br /> | <td>85.71<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>100<br /> | <td>100<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>109.09<br /> | <td>109.09<br /> | ||
</td> | </td> | ||
<td>Srutal/Pajara is around here<br /> | <td style="text-align: center;">Srutal/Pajara is around here<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>120<br /> | <td>120<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>163.64<br /> | <td>163.64<br /> | ||
</td> | </td> | ||
<td>Hedgehog and echidna are both around here<br /> | <td style="text-align: center;">Hedgehog and echidna are both around here<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>165.52<br /> | <td>165.52<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 466: | Line 466: | ||
<td>165.96<br /> | <td>165.96<br /> | ||
</td> | </td> | ||
<td>Golden hedgehog/echidna<br /> | <td style="text-align: center;">Golden hedgehog/echidna<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>166.67<br /> | <td>166.67<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>171.43<br /> | <td>171.43<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;">Optimum rank range (L/s=3/2)<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>200<br /> | <td>200<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||