4L 4s: Difference between revisions

Wikispaces>keenanpepper
**Imported revision 222798184 - Original comment: **
 
Wikispaces>guest
**Imported revision 248869257 - 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>2011-04-25 16:24:04 UTC</tt>.<br>
: This revision was by author [[User:guest|guest]] and made on <tt>2011-08-28 03:07:29 UTC</tt>.<br>
: The original revision id was <tt>222798184</tt>.<br>
: The original revision id was <tt>248869257</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 ||
||  ||  || 2\20 || 120 ||  ||
||  ||  ||  || 3\32 ||  || 112.5 ||  ||
|| 1\8 ||  ||  || 150 ||  ||</pre></div>
||  ||  ||  ||  || 5\52 || 115.38 || Golden diminished ||
||  ||  || 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">&lt;html&gt;&lt;head&gt;&lt;title&gt;4L 4s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The minimum harmonic entropy scale with this &lt;a class="wiki_link" href="/MOSScales"&gt;MOS&lt;/a&gt; pattern is &lt;a class="wiki_link" href="/Jubilismic%20clan"&gt;diminished&lt;/a&gt;[8], basically the familiar &lt;a class="wiki_link" href="/Octatonic%20scale"&gt;octatonic scale&lt;/a&gt; of 12edo.&lt;br /&gt;
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;4L 4s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The minimum harmonic entropy scale with this &lt;a class="wiki_link" href="/MOSScales"&gt;MOS&lt;/a&gt; pattern is &lt;a class="wiki_link" href="/Jubilismic%20clan"&gt;diminished&lt;/a&gt;[8], basically the familiar &lt;a class="wiki_link" href="/Octatonic%20scale"&gt;octatonic scale&lt;/a&gt; of 12edo.&lt;br /&gt;
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&lt;table class="wiki_table"&gt;
&lt;table class="wiki_table"&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;th colspan="3"&gt;Generator&lt;br /&gt;
         &lt;th colspan="5"&gt;Generator&lt;br /&gt;
&lt;/th&gt;
&lt;/th&gt;
         &lt;th&gt;Cents&lt;br /&gt;
         &lt;th&gt;Cents&lt;br /&gt;
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     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;0\4&lt;br /&gt;
         &lt;td&gt;0\4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1\16&lt;br /&gt;
         &lt;td&gt;1\16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;75&lt;br /&gt;
         &lt;td&gt;75&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1\12&lt;br /&gt;
         &lt;td&gt;1\12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Diminished is around here&lt;br /&gt;
         &lt;td&gt;Diminished is around here&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;112.5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\52&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;115.38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Golden diminished&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;2\20&lt;br /&gt;
         &lt;td&gt;2\20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;120&lt;br /&gt;
         &lt;td&gt;120&lt;br /&gt;
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     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;1\8&lt;br /&gt;
         &lt;td&gt;1\8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;