2L 3s: Difference between revisions

Wikispaces>keenanpepper
**Imported revision 217505546 - Original comment: **
Wikispaces>xenwolf
**Imported revision 217599248 - Original comment: some links added**
Line 1: Line 1:
<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>2011-04-05 19:24:07 UTC</tt>.<br>
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2011-04-06 02:56:10 UTC</tt>.<br>
: The original revision id was <tt>217505546</tt>.<br>
: The original revision id was <tt>217599248</tt>.<br>
: The revision comment was: <tt></tt><br>
: The revision comment was: <tt>some links added</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>
<h4>Original Wikitext content:</h4>
<h4>Original Wikitext content:</h4>
Line 27: Line 27:
|| 1\2 ||  ||  ||  ||  ||  || 600 || 1 0 0 1 0 ||  ||
|| 1\2 ||  ||  ||  ||  ||  || 600 || 1 0 0 1 0 ||  ||


From a 3-limit perspective, just make a chain of four 4/3's and octave-reduce, and you end up with pentatonic.
From a [[3-limit]] perspective, just make a chain of four 4/3's and octave-reduce, and you end up with pentatonic.


From a 5-limit perspective, the most interesting temperaments with this kind of pentatonic scale are [[meantone]] and [[mavila]].
From a [[5-limit]] perspective, the most interesting temperaments with this kind of pentatonic scale are [[meantone]] and [[mavila]].


There is also the interesting 2.3.7 temperament that tempers out 64/63 ("no-fives [[dominant]]").</pre></div>
There is also the interesting 2.3.7 temperament that tempers out [[64_63|64/63]] ("no-fives [[dominant]]").</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;2L 3s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&amp;quot;Classic&amp;quot; pentatonic. Perhaps the most common scale in the world.&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 3s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&amp;quot;Classic&amp;quot; pentatonic. Perhaps the most common scale in the world.&lt;br /&gt;
Line 336: Line 336:


&lt;br /&gt;
&lt;br /&gt;
From a 3-limit perspective, just make a chain of four 4/3's and octave-reduce, and you end up with pentatonic.&lt;br /&gt;
From a &lt;a class="wiki_link" href="/3-limit"&gt;3-limit&lt;/a&gt; perspective, just make a chain of four 4/3's and octave-reduce, and you end up with pentatonic.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
From a 5-limit perspective, the most interesting temperaments with this kind of pentatonic scale are &lt;a class="wiki_link" href="/meantone"&gt;meantone&lt;/a&gt; and &lt;a class="wiki_link" href="/mavila"&gt;mavila&lt;/a&gt;.&lt;br /&gt;
From a &lt;a class="wiki_link" href="/5-limit"&gt;5-limit&lt;/a&gt; perspective, the most interesting temperaments with this kind of pentatonic scale are &lt;a class="wiki_link" href="/meantone"&gt;meantone&lt;/a&gt; and &lt;a class="wiki_link" href="/mavila"&gt;mavila&lt;/a&gt;.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
There is also the interesting 2.3.7 temperament that tempers out 64/63 (&amp;quot;no-fives &lt;a class="wiki_link" href="/dominant"&gt;dominant&lt;/a&gt;&amp;quot;).&lt;/body&gt;&lt;/html&gt;</pre></div>
There is also the interesting 2.3.7 temperament that tempers out &lt;a class="wiki_link" href="/64_63"&gt;64/63&lt;/a&gt; (&amp;quot;no-fives &lt;a class="wiki_link" href="/dominant"&gt;dominant&lt;/a&gt;&amp;quot;).&lt;/body&gt;&lt;/html&gt;</pre></div>