MOS cradle: Difference between revisions

Wikispaces>Andrew_Heathwaite
**Imported revision 40509027 - Original comment: **
Wikispaces>Andrew_Heathwaite
**Imported revision 40812555 - 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:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2008-10-02 15:46:46 UTC</tt>.<br>
: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2008-10-05 21:39:16 UTC</tt>.<br>
: The original revision id was <tt>40509027</tt>.<br>
: The original revision id was <tt>40812555</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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__**1 1**__ 4 __**1 1**__ 4 __**1 1**__
__**1 1**__ 4 __**1 1**__ 4 __**1 1**__


Now I think I've given enough examples for you to get started on your own! If you discover other neat properties of these scales, feel free to edit this page &amp; add your findings. &amp; when you design lovely new MOS Cradle Scales, do add them to the [[MOS Cradle Scales|repository]]!</pre></div>
==A Cradle in a Cradle==
 
One can, of course, perform MOS Cradle on MOS Cradle scales &amp; produce scales w/ four step sizes. Let's start with Swooning Rushes, a subset of [[11edo]]:
 
2 3 1 3 2
 
A fine little scale, I think. Now let's double it:
 
4 6 2 6 4
 
&amp; apply MOS Cradle to it:
 
__**3 1**__ 6 2 __**1 3**__
 
This new scale, a subset of [[22edo]], has four step sizes (1, 2, 3, 6) &amp; contains both th original MOS &amp; th Cradle Scale Swooning Rushes. Not bad!
 
(This can go on forever, in theory. If we double it again, we might get this scale, a subset of [[44edo]]: 6 2 7 5 4 5 7 2 6!)
 
Now I think I've given more than enough examples for you to get started on your own! If you discover other neat properties of these scales, feel free to edit this page &amp; add your findings. &amp; when you design lovely new MOS Cradle Scales, do add them to the [[MOS Cradle Scales|repository]]!</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;MOS Cradle&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="MOS Cradle"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;MOS Cradle&lt;/h1&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;MOS Cradle&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="MOS Cradle"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;MOS Cradle&lt;/h1&gt;
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&lt;u&gt;&lt;strong&gt;1 1&lt;/strong&gt;&lt;/u&gt; 4 &lt;u&gt;&lt;strong&gt;1 1&lt;/strong&gt;&lt;/u&gt; 4 &lt;u&gt;&lt;strong&gt;1 1&lt;/strong&gt;&lt;/u&gt;&lt;br /&gt;
&lt;u&gt;&lt;strong&gt;1 1&lt;/strong&gt;&lt;/u&gt; 4 &lt;u&gt;&lt;strong&gt;1 1&lt;/strong&gt;&lt;/u&gt; 4 &lt;u&gt;&lt;strong&gt;1 1&lt;/strong&gt;&lt;/u&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Now I think I've given enough examples for you to get started on your own! If you discover other neat properties of these scales, feel free to edit this page &amp;amp; add your findings. &amp;amp; when you design lovely new MOS Cradle Scales, do add them to the &lt;a class="wiki_link" href="/MOS%20Cradle%20Scales"&gt;repository&lt;/a&gt;!&lt;/body&gt;&lt;/html&gt;</pre></div>
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="MOS Cradle-A Cradle in a Cradle"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;A Cradle in a Cradle&lt;/h2&gt;
&lt;br /&gt;
One can, of course, perform MOS Cradle on MOS Cradle scales &amp;amp; produce scales w/ four step sizes. Let's start with Swooning Rushes, a subset of &lt;a class="wiki_link" href="/11edo"&gt;11edo&lt;/a&gt;:&lt;br /&gt;
&lt;br /&gt;
2 3 1 3 2&lt;br /&gt;
&lt;br /&gt;
A fine little scale, I think. Now let's double it:&lt;br /&gt;
&lt;br /&gt;
4 6 2 6 4&lt;br /&gt;
&lt;br /&gt;
&amp;amp; apply MOS Cradle to it:&lt;br /&gt;
&lt;br /&gt;
&lt;u&gt;&lt;strong&gt;3 1&lt;/strong&gt;&lt;/u&gt; 6 2 &lt;u&gt;&lt;strong&gt;1 3&lt;/strong&gt;&lt;/u&gt;&lt;br /&gt;
&lt;br /&gt;
This new scale, a subset of &lt;a class="wiki_link" href="/22edo"&gt;22edo&lt;/a&gt;, has four step sizes (1, 2, 3, 6) &amp;amp; contains both th original MOS &amp;amp; th Cradle Scale Swooning Rushes. Not bad!&lt;br /&gt;
&lt;br /&gt;
(This can go on forever, in theory. If we double it again, we might get this scale, a subset of &lt;a class="wiki_link" href="/44edo"&gt;44edo&lt;/a&gt;: 6 2 7 5 4 5 7 2 6!)&lt;br /&gt;
&lt;br /&gt;
Now I think I've given more than enough examples for you to get started on your own! If you discover other neat properties of these scales, feel free to edit this page &amp;amp; add your findings. &amp;amp; when you design lovely new MOS Cradle Scales, do add them to the &lt;a class="wiki_link" href="/MOS%20Cradle%20Scales"&gt;repository&lt;/a&gt;!&lt;/body&gt;&lt;/html&gt;</pre></div>