MOS scale: Difference between revisions

Wikispaces>hstraub
**Imported revision 3493012 - Original comment: **
Wikispaces>hstraub
**Imported revision 3493240 - 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:hstraub|hstraub]] and made on <tt>2007-03-27 11:17:43 UTC</tt>.<br>
: This revision was by author [[User:hstraub|hstraub]] and made on <tt>2007-03-27 11:30:19 UTC</tt>.<br>
: The original revision id was <tt>3493012</tt>.<br>
: The original revision id was <tt>3493240</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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a*L +b*s = n.
a*L +b*s = n.


which is a [[http://mathworld.wolfram.com/DiophantineEquation.html|linear diophantine equation]]! This means that given a, b and n, all possible MOS types can be calculated via the general solution of the corresponding linear diophantine equation.
which is a linear diophantine equation! This means that given a, b and n, all possible MOS types can be calculated via the general solution of the corresponding linear diophantine equation.


Below is a list of MOS with number of elements from 5 to 10, in equal temperaments from 5 to 36.
Below is a list of MOS with number of elements from 5 to 10, in equal temperaments from 5 to 36.
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[[PentatonicMOS|Pentatonic MOS]]
[[PentatonicMOS|Pentatonic MOS]]
[[HexatonicMOS|Hexatonic MOS]]
&lt;More follow soon&gt;</pre></div>
&lt;More follow soon&gt;</pre></div>
<h4>Original HTML content:</h4>
<h4>Original HTML content:</h4>
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a*L +b*s = n.&lt;br /&gt;
a*L +b*s = n.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
which is a &lt;a class="wiki_link_ext" href="http://mathworld.wolfram.com/DiophantineEquation.html" rel="nofollow"&gt;linear diophantine equation&lt;/a&gt;! This means that given a, b and n, all possible MOS types can be calculated via the general solution of the corresponding linear diophantine equation.&lt;br /&gt;
which is a linear diophantine equation! This means that given a, b and n, all possible MOS types can be calculated via the general solution of the corresponding linear diophantine equation.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Below is a list of MOS with number of elements from 5 to 10, in equal temperaments from 5 to 36.&lt;br /&gt;
Below is a list of MOS with number of elements from 5 to 10, in equal temperaments from 5 to 36.&lt;br /&gt;
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&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/PentatonicMOS"&gt;Pentatonic MOS&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/PentatonicMOS"&gt;Pentatonic MOS&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/HexatonicMOS"&gt;Hexatonic MOS&lt;/a&gt;&lt;br /&gt;
&amp;lt;More follow soon&amp;gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
&amp;lt;More follow soon&amp;gt;&lt;/body&gt;&lt;/html&gt;</pre></div>