Muddle: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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>2012-01-19 23:40:01 UTC</tt>.<br>

: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2012-01-19 23:58:58 UTC</tt>.<br>

: The original revision id was <tt>~~293766380~~</tt>.<br>

: The original revision id was <tt>293768418</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>

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=MOS Muddles=

In the case of a MOS muddle, the parent scale is any MOS scale large enough that taking subsets of it would be musically useful. The target scale is something like 12122. This could be the form of an actual scale (an MOS subset of [[8edo]], in this example), but as a target scale, we are interested in its general //shape//, which suggests a way of bunching intervals of the parent scale. If we apply the target to an equal-step scale, we arrive at a standard MOS. Eg. If our parent scale is [[8edo]] -- with steps 11111111 -- and our target scale is 12122, then the resulting scale is (1)(11)(1)(11~~)(1~~)(11) = 12122 -- the same as our target scale. But if our parent scale is some other MOS scale, say 22222223 (a subset of [[17edo]]), applying the 12122 target scale generates (2)(22)(2)(22)(23) = 24245 -- not an MOS scale. The latter scale, which we can call a //muddle//, has some melodic similarity to the target scale of 12122, but belongs to a different temperament family entirely. Choosing a different mode (rotation) of either the parent scale or the target scale may produce a different muddle.

In the case of a MOS muddle, the parent scale is any MOS scale large enough that taking subsets of it would be musically useful. The target scale is something like 12122. This could be the form of an actual scale (an MOS subset of [[8edo]], in this example), but as a target scale, we are interested in its general //shape//, which suggests a way of bunching intervals of the parent scale. If we apply the target to an equal-step scale, we arrive at a standard MOS. Eg. If our parent scale is [[8edo]] -- with steps 11111111 -- and our target scale is 12122, then the resulting scale is (1)(11)(1)(11)(11) = 12122 -- the same as our target scale. But if our parent scale is some other MOS scale, say 22222223 (a subset of [[17edo]]), applying the 12122 target scale generates (2)(22)(2)(22)(23) = 24245 -- not an MOS scale. The latter scale, which we can call a //muddle//, has some melodic similarity to the target scale of 12122, but belongs to a different temperament family entirely. Choosing a different mode (rotation) of either the parent scale or the target scale may produce a different muddle.

=Examples=

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<h1 id="toc0"><a name="MOS Muddles"></a>MOS Muddles</h1>

<br />

In the case of a MOS muddle, the parent scale is any MOS scale large enough that taking subsets of it would be musically useful. The target scale is something like 12122. This could be the form of an actual scale (an MOS subset of <a class="wiki_link" href="/8edo">8edo</a>, in this example), but as a target scale, we are interested in its general <em>shape</em>, which suggests a way of bunching intervals of the parent scale. If we apply the target to an equal-step scale, we arrive at a standard MOS. Eg. If our parent scale is <a class="wiki_link" href="/8edo">8edo</a> -- with steps 11111111 -- and our target scale is 12122, then the resulting scale is (1)(11)(1)(11~~)(1~~)(11) = 12122 -- the same as our target scale. But if our parent scale is some other MOS scale, say 22222223 (a subset of <a class="wiki_link" href="/17edo">17edo</a>), applying the 12122 target scale generates (2)(22)(2)(22)(23) = 24245 -- not an MOS scale. The latter scale, which we can call a <em>muddle</em>, has some melodic similarity to the target scale of 12122, but belongs to a different temperament family entirely. Choosing a different mode (rotation) of either the parent scale or the target scale may produce a different muddle.<br />

In the case of a MOS muddle, the parent scale is any MOS scale large enough that taking subsets of it would be musically useful. The target scale is something like 12122. This could be the form of an actual scale (an MOS subset of <a class="wiki_link" href="/8edo">8edo</a>, in this example), but as a target scale, we are interested in its general <em>shape</em>, which suggests a way of bunching intervals of the parent scale. If we apply the target to an equal-step scale, we arrive at a standard MOS. Eg. If our parent scale is <a class="wiki_link" href="/8edo">8edo</a> -- with steps 11111111 -- and our target scale is 12122, then the resulting scale is (1)(11)(1)(11)(11) = 12122 -- the same as our target scale. But if our parent scale is some other MOS scale, say 22222223 (a subset of <a class="wiki_link" href="/17edo">17edo</a>), applying the 12122 target scale generates (2)(22)(2)(22)(23) = 24245 -- not an MOS scale. The latter scale, which we can call a <em>muddle</em>, has some melodic similarity to the target scale of 12122, but belongs to a different temperament family entirely. Choosing a different mode (rotation) of either the parent scale or the target scale may produce a different muddle.<br />

<br />

<h1 id="toc1"><a name="Examples"></a>Examples</h1>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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>2012-01-19 23:40:01 UTC</tt>.<br>
+: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2012-01-19 23:58:58 UTC</tt>.<br>
-: The original revision id was <tt>293766380</tt>.<br>
+: The original revision id was <tt>293768418</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>
@@ Line 12: / Line 12: @@
 =MOS Muddles=
-In the case of a MOS muddle, the parent scale is any MOS scale large enough that taking subsets of it would be musically useful. The target scale is something like 12122. This could be the form of an actual scale (an MOS subset of [[8edo]], in this example), but as a target scale, we are interested in its general //shape//, which suggests a way of bunching intervals of the parent scale. If we apply the target to an equal-step scale, we arrive at a standard MOS. Eg. If our parent scale is [[8edo]] -- with steps 11111111 -- and our target scale is 12122, then the resulting scale is (1)(11)(1)(11)(1)(11) = 12122 -- the same as our target scale. But if our parent scale is some other MOS scale, say 22222223 (a subset of [[17edo]]), applying the 12122 target scale generates (2)(22)(2)(22)(23) = 24245 -- not an MOS scale. The latter scale, which we can call a //muddle//, has some melodic similarity to the target scale of 12122, but belongs to a different temperament family entirely. Choosing a different mode (rotation) of either the parent scale or the target scale may produce a different muddle.
+In the case of a MOS muddle, the parent scale is any MOS scale large enough that taking subsets of it would be musically useful. The target scale is something like 12122. This could be the form of an actual scale (an MOS subset of [[8edo]], in this example), but as a target scale, we are interested in its general //shape//, which suggests a way of bunching intervals of the parent scale. If we apply the target to an equal-step scale, we arrive at a standard MOS. Eg. If our parent scale is [[8edo]] -- with steps 11111111 -- and our target scale is 12122, then the resulting scale is (1)(11)(1)(11)(11) = 12122 -- the same as our target scale. But if our parent scale is some other MOS scale, say 22222223 (a subset of [[17edo]]), applying the 12122 target scale generates (2)(22)(2)(22)(23) = 24245 -- not an MOS scale. The latter scale, which we can call a //muddle//, has some melodic similarity to the target scale of 12122, but belongs to a different temperament family entirely. Choosing a different mode (rotation) of either the parent scale or the target scale may produce a different muddle.
 =Examples=
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 &lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="MOS Muddles"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;MOS Muddles&lt;/h1&gt;
   &lt;br /&gt;
-In the case of a MOS muddle, the parent scale is any MOS scale large enough that taking subsets of it would be musically useful. The target scale is something like 12122. This could be the form of an actual scale (an MOS subset of &lt;a class="wiki_link" href="/8edo"&gt;8edo&lt;/a&gt;, in this example), but as a target scale, we are interested in its general &lt;em&gt;shape&lt;/em&gt;, which suggests a way of bunching intervals of the parent scale. If we apply the target to an equal-step scale, we arrive at a standard MOS. Eg. If our parent scale is &lt;a class="wiki_link" href="/8edo"&gt;8edo&lt;/a&gt; -- with steps 11111111 -- and our target scale is 12122, then the resulting scale is (1)(11)(1)(11)(1)(11) = 12122 -- the same as our target scale. But if our parent scale is some other MOS scale, say 22222223 (a subset of &lt;a class="wiki_link" href="/17edo"&gt;17edo&lt;/a&gt;), applying the 12122 target scale generates (2)(22)(2)(22)(23) = 24245 -- not an MOS scale. The latter scale, which we can call a &lt;em&gt;muddle&lt;/em&gt;, has some melodic similarity to the target scale of 12122, but belongs to a different temperament family entirely. Choosing a different mode (rotation) of either the parent scale or the target scale may produce a different muddle.&lt;br /&gt;
+In the case of a MOS muddle, the parent scale is any MOS scale large enough that taking subsets of it would be musically useful. The target scale is something like 12122. This could be the form of an actual scale (an MOS subset of &lt;a class="wiki_link" href="/8edo"&gt;8edo&lt;/a&gt;, in this example), but as a target scale, we are interested in its general &lt;em&gt;shape&lt;/em&gt;, which suggests a way of bunching intervals of the parent scale. If we apply the target to an equal-step scale, we arrive at a standard MOS. Eg. If our parent scale is &lt;a class="wiki_link" href="/8edo"&gt;8edo&lt;/a&gt; -- with steps 11111111 -- and our target scale is 12122, then the resulting scale is (1)(11)(1)(11)(11) = 12122 -- the same as our target scale. But if our parent scale is some other MOS scale, say 22222223 (a subset of &lt;a class="wiki_link" href="/17edo"&gt;17edo&lt;/a&gt;), applying the 12122 target scale generates (2)(22)(2)(22)(23) = 24245 -- not an MOS scale. The latter scale, which we can call a &lt;em&gt;muddle&lt;/em&gt;, has some melodic similarity to the target scale of 12122, but belongs to a different temperament family entirely. Choosing a different mode (rotation) of either the parent scale or the target scale may produce a different muddle.&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Examples"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Examples&lt;/h1&gt;