2L 4s: Difference between revisions

Wikispaces>keenanpepper
**Imported revision 222582054 - Original comment: **
 
Wikispaces>keenanpepper
**Imported revision 222626906 - 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>2011-04-24 21:19:31 UTC</tt>.<br>
: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-04-25 03:37:18 UTC</tt>.<br>
: The original revision id was <tt>222582054</tt>.<br>
: The original revision id was <tt>222626906</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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<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">The only scale with this [[MOSScales|MOS]] pattern that's a really significant minimum of harmonic entropy is [[Diaschismic family|srutal/pajara]], in which the period plus the generator is 3/2. Other scales include shrutar, in which the generator is **half** of that (about a quartertone), so 3/2 is a period plus two generators; and [[Porcupine family|hedgehog]], in which two generators make a 6/5, and 4/3 would be three generators (except that it doesn't appear in this MOS).
<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">The only scale with this [[MOSScales|MOS]] pattern that's a really significant minimum of harmonic entropy is [[Diaschismic family|srutal/pajara]], in which the period plus the generator is 3/2. Other scales include shrutar, in which the generator is **half** of that (about a quartertone), so 3/2 is a period plus two generators; and [[Porcupine family|hedgehog]], in which two generators make a 6/5, and 4/3 would be three generators (except that it doesn't appear in this MOS).


In addition to the true MOS with pattern LssLss, all these scales also come in a near-MOS version, LsLsss, in which the period is the only generic interval that has more than two specific representatives. The true MOS is always proper, but the near-MOS is only proper if the generator is larger than 1\8 of an octave (150 cents).
In addition to the true MOS with pattern LssLss, all these scales also come in a near-MOS version, LsLsss, in which the period is the only generic interval that has more than two specific representatives.
||||||||||||||||||||||~ Generator ||~ Cents ||~ Comments ||
||||||||||||||||||||||~ Generator ||~ Cents ||~ Comments ||
|| 0\2 ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  || 0 ||  ||
|| 0\2 ||  ||  ||  ||  ||  ||  ||  ||  ||  ||  || 0 ||  ||
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||  ||  ||  ||  || 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 for near-MOS ||
||  || 1\8 ||  ||  ||  ||  ||  ||  ||  ||  ||  || 150 ||= Boundary of propriety (generators
larger than this are proper) ||
||  ||  ||  || 3\22 ||  ||  ||  ||  ||  ||  ||  || 163.64 || Hedgehog is around here ||
||  ||  ||  || 3\22 ||  ||  ||  ||  ||  ||  ||  || 163.64 || Hedgehog is around here ||
||  ||  || 2\14 ||  ||  ||  ||  ||  ||  ||  ||  || 171.43 ||  ||
||  ||  || 2\14 ||  ||  ||  ||  ||  ||  ||  ||  || 171.43 ||  ||
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<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;2L 4s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The only scale with this &lt;a class="wiki_link" href="/MOSScales"&gt;MOS&lt;/a&gt; pattern that's a really significant minimum of harmonic entropy is &lt;a class="wiki_link" href="/Diaschismic%20family"&gt;srutal/pajara&lt;/a&gt;, in which the period plus the generator is 3/2. Other scales include shrutar, in which the generator is &lt;strong&gt;half&lt;/strong&gt; of that (about a quartertone), so 3/2 is a period plus two generators; and &lt;a class="wiki_link" href="/Porcupine%20family"&gt;hedgehog&lt;/a&gt;, in which two generators make a 6/5, and 4/3 would be three generators (except that it doesn't appear in this MOS).&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;2L 4s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The only scale with this &lt;a class="wiki_link" href="/MOSScales"&gt;MOS&lt;/a&gt; pattern that's a really significant minimum of harmonic entropy is &lt;a class="wiki_link" href="/Diaschismic%20family"&gt;srutal/pajara&lt;/a&gt;, in which the period plus the generator is 3/2. Other scales include shrutar, in which the generator is &lt;strong&gt;half&lt;/strong&gt; of that (about a quartertone), so 3/2 is a period plus two generators; and &lt;a class="wiki_link" href="/Porcupine%20family"&gt;hedgehog&lt;/a&gt;, in which two generators make a 6/5, and 4/3 would be three generators (except that it doesn't appear in this MOS).&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
In addition to the true MOS with pattern LssLss, all these scales also come in a near-MOS version, LsLsss, in which the period is the only generic interval that has more than two specific representatives. The true MOS is always proper, but the near-MOS is only proper if the generator is larger than 1\8 of an octave (150 cents).&lt;br /&gt;
In addition to the true MOS with pattern LssLss, all these scales also come in a near-MOS version, LsLsss, in which the period is the only generic interval that has more than two specific representatives.&lt;br /&gt;




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         &lt;td&gt;150&lt;br /&gt;
         &lt;td&gt;150&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Boundary of propriety for near-MOS&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Boundary of propriety (generators&lt;br /&gt;
larger than this are proper)&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;