4L 4s: Difference between revisions
Wikispaces>guest **Imported revision 248869257 - Original comment: ** |
Wikispaces>guest **Imported revision 249049053 - 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 04:09:12 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>249049053</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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There are 4 different near-MOSes such that multiples of the period are the only generic intervals with more than two specific representatives: LLsLsLss, LLsLssLs, LLssLLss, LLssLsLs. However, none are strictly proper in 12edo. (They are only proper if the generator is larger than 100 cents, which unfortunately is the wrong direction for good diminished tunings.) | There are 4 different near-MOSes such that multiples of the period are the only generic intervals with more than two specific representatives: LLsLsLss, LLsLssLs, LLssLLss, LLssLsLs. However, none are strictly proper in 12edo. (They are only proper if the generator is larger than 100 cents, which unfortunately is the wrong direction for good diminished tunings.) | ||
||||||||||~ Generator ||~ Cents ||~ Comments || | ||||||||||~ Generator ||~ Cents ||~ Comments || | ||
|| 0\4 || || || || || 0 || || | || 0\4 || || || || || 0 ||= || | ||
|| || || 1\16 || || || 75 || || | || || || 1\16 || || || 75 ||= || | ||
|| || 1\12 || || || || 100 || Diminished is around here || | || || 1\12 || || || || 100 ||= Diminished is around here | ||
|| || || || 3\32 || || 112.5 || || | Optimum rank range (L/s=2/1) for MOS || | ||
|| || || || || 5\52 || 115.38 || Golden diminished || | || || || || 3\32 || || 112.5 ||= || | ||
|| || || 2\20 || || || 120 || || | || || || || || 5\52 || 115.38 ||= Golden diminished || | ||
|| 1\8 || || || || || 150 || ||</pre></div> | || || || 2\20 || || || 120 ||= || | ||
|| 1\8 || || || || || 150 ||= ||</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>4L 4s</title></head><body>The minimum harmonic entropy scale with this <a class="wiki_link" href="/MOSScales">MOS</a> pattern is <a class="wiki_link" href="/Jubilismic%20clan">diminished</a>[8], basically the familiar <a class="wiki_link" href="/Octatonic%20scale">octatonic scale</a> of 12edo.<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>4L 4s</title></head><body>The minimum harmonic entropy scale with this <a class="wiki_link" href="/MOSScales">MOS</a> pattern is <a class="wiki_link" href="/Jubilismic%20clan">diminished</a>[8], basically the familiar <a class="wiki_link" href="/Octatonic%20scale">octatonic scale</a> of 12edo.<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>75<br /> | <td>75<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>Diminished is around here<br /> | <td style="text-align: center;">Diminished is around here<br /> | ||
Optimum rank range (L/s=2/1) for MOS<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>112.5<br /> | <td>112.5<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>115.38<br /> | <td>115.38<br /> | ||
</td> | </td> | ||
<td>Golden diminished<br /> | <td style="text-align: center;">Golden diminished<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>150<br /> | <td>150<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||