Muddle: Difference between revisions
Wikispaces>mbattaglia1 **Imported revision 293983704 - Original comment: ** |
Wikispaces>Andrew_Heathwaite **Imported revision 294178892 - Original comment: ** |
||
| 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: | : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2012-01-21 22:44:46 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>294178892</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> | ||
| Line 37: | Line 37: | ||
MOS Muddles always have more than two sizes of step -- either three or four sizes. Whereas MOS scales have two varieties of interval for each interval class (eg. a "large step" and a "small step"), muddles have potentially two varieties within each variety (eg. two sizes of "small step" and two sizes of "large step"). Parent scales that are close to equal (eg. [[Maximal evenness|maximally even]] scales) will produce muddles that are closer in sound to the target scale. Larger parent scales contain more potential muddles than smaller ones, just as larger [[EDO]]s contain more potential MOS scales than smaller ones. | MOS Muddles always have more than two sizes of step -- either three or four sizes. Whereas MOS scales have two varieties of interval for each interval class (eg. a "large step" and a "small step"), muddles have potentially two varieties within each variety (eg. two sizes of "small step" and two sizes of "large step"). Parent scales that are close to equal (eg. [[Maximal evenness|maximally even]] scales) will produce muddles that are closer in sound to the target scale. Larger parent scales contain more potential muddles than smaller ones, just as larger [[EDO]]s contain more potential MOS scales than smaller ones. | ||
=History= | |||
MOS muddles seem to be as old as MOS, although the name "muddle" is new. Page six of [[Erv Wilson]]'s [[http://www.anaphoria.com/mos.PDF|seminal article on MOS scales]] shows a 17-tone MOS subset of [[41edo]] as "parent scale" and a 7-tone MOS pattern as "target scale shape". They are also present in the work of Kraig Grady, as evidenced by [[http://anaphoriasouth.blogspot.com/2011/05/pentatonic-family-pt-1.html|this blog entry]]. The word "muddle" comes from [[Gene Ward Smith]]. | |||
=Non-MOS Muddles= | =Non-MOS Muddles= | ||
| Line 62: | Line 66: | ||
<br /> | <br /> | ||
Here is a diagram showing the muddles available with a 55755757 parent scale (<a class="wiki_link" href="/Sensi">Sensi</a>[8] in <a class="wiki_link" href="/46edo">46edo</a>) and a 12122 target scale. Note that this combination produces MOS scales as well as muddles.<br /> | Here is a diagram showing the muddles available with a 55755757 parent scale (<a class="wiki_link" href="/Sensi">Sensi</a>[8] in <a class="wiki_link" href="/46edo">46edo</a>) and a 12122 target scale. Note that this combination produces MOS scales as well as muddles.<br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:32:&lt;img src=&quot;/file/view/sensi_pentatonics.png/293730366/sensi_pentatonics.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/sensi_pentatonics.png/293730366/sensi_pentatonics.png" alt="sensi_pentatonics.png" title="sensi_pentatonics.png" /><!-- ws:end:WikiTextLocalImageRule:32 --><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Comments"></a><!-- ws:end:WikiTextHeadingRule:8 -->Comments</h1> | <!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Comments"></a><!-- ws:end:WikiTextHeadingRule:8 -->Comments</h1> | ||
| Line 68: | Line 72: | ||
MOS Muddles always have more than two sizes of step -- either three or four sizes. Whereas MOS scales have two varieties of interval for each interval class (eg. a &quot;large step&quot; and a &quot;small step&quot;), muddles have potentially two varieties within each variety (eg. two sizes of &quot;small step&quot; and two sizes of &quot;large step&quot;). Parent scales that are close to equal (eg. <a class="wiki_link" href="/Maximal%20evenness">maximally even</a> scales) will produce muddles that are closer in sound to the target scale. Larger parent scales contain more potential muddles than smaller ones, just as larger <a class="wiki_link" href="/EDO">EDO</a>s contain more potential MOS scales than smaller ones.<br /> | MOS Muddles always have more than two sizes of step -- either three or four sizes. Whereas MOS scales have two varieties of interval for each interval class (eg. a &quot;large step&quot; and a &quot;small step&quot;), muddles have potentially two varieties within each variety (eg. two sizes of &quot;small step&quot; and two sizes of &quot;large step&quot;). Parent scales that are close to equal (eg. <a class="wiki_link" href="/Maximal%20evenness">maximally even</a> scales) will produce muddles that are closer in sound to the target scale. Larger parent scales contain more potential muddles than smaller ones, just as larger <a class="wiki_link" href="/EDO">EDO</a>s contain more potential MOS scales than smaller ones.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Non-MOS Muddles"></a><!-- ws:end:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="History"></a><!-- ws:end:WikiTextHeadingRule:10 -->History</h1> | ||
<br /> | |||
MOS muddles seem to be as old as MOS, although the name &quot;muddle&quot; is new. Page six of <a class="wiki_link" href="/Erv%20Wilson">Erv Wilson</a>'s <a class="wiki_link_ext" href="http://www.anaphoria.com/mos.PDF" rel="nofollow">seminal article on MOS scales</a> shows a 17-tone MOS subset of <a class="wiki_link" href="/41edo">41edo</a> as &quot;parent scale&quot; and a 7-tone MOS pattern as &quot;target scale shape&quot;. They are also present in the work of Kraig Grady, as evidenced by <a class="wiki_link_ext" href="http://anaphoriasouth.blogspot.com/2011/05/pentatonic-family-pt-1.html" rel="nofollow">this blog entry</a>. The word &quot;muddle&quot; comes from <a class="wiki_link" href="/Gene%20Ward%20Smith">Gene Ward Smith</a>.<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Non-MOS Muddles"></a><!-- ws:end:WikiTextHeadingRule:12 -->Non-MOS Muddles</h1> | |||
<br /> | <br /> | ||
As mentioned at the beginning, in a muddle, the parent scale can be any kind of periodic scale at all, including but not limited to <a class="wiki_link" href="/MODMOS%20scales">MODMOS scales</a>, <a class="wiki_link" href="/MOS%20Cradle">MOS Cradle scales</a>, other muddles, scales of <a class="wiki_link" href="/Regular%20Temperaments">temperaments</a> with rank higher than 2, <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a> scales, etc. The target scale is a little less flexible, but it could be at least a MODMOS scale, a MOS Cradle scale or any other MOS subset or subset of a periodic equal-step scale. It's just important that the total number of &quot;units&quot; in the target scale (eg. the MOS Cradle 23132 has 2+3+1+3+2=11 units) be the same as the number of tones in the parent scale (thus the 23132 target scale must be applied to a scale of 11 tones).<br /> | As mentioned at the beginning, in a muddle, the parent scale can be any kind of periodic scale at all, including but not limited to <a class="wiki_link" href="/MODMOS%20scales">MODMOS scales</a>, <a class="wiki_link" href="/MOS%20Cradle">MOS Cradle scales</a>, other muddles, scales of <a class="wiki_link" href="/Regular%20Temperaments">temperaments</a> with rank higher than 2, <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a> scales, etc. The target scale is a little less flexible, but it could be at least a MODMOS scale, a MOS Cradle scale or any other MOS subset or subset of a periodic equal-step scale. It's just important that the total number of &quot;units&quot; in the target scale (eg. the MOS Cradle 23132 has 2+3+1+3+2=11 units) be the same as the number of tones in the parent scale (thus the 23132 target scale must be applied to a scale of 11 tones).<br /> | ||
<br /> | <br /> | ||
<span class="commentBody">As one example of a muddle with a non-MOS parent</span><span class="text_exposed_show">, if you take overtones 16-32 as the parent scale, you can apply a 2322232 target scale and get 1/1, 9/8, 21/16, 23/16, 25/16, 27/16, 15/8, 2/1.</span></body></html></pre></div> | <span class="commentBody">As one example of a muddle with a non-MOS parent</span><span class="text_exposed_show">, if you take overtones 16-32 as the parent scale, you can apply a 2322232 target scale and get 1/1, 9/8, 21/16, 23/16, 25/16, 27/16, 15/8, 2/1.</span></body></html></pre></div> | ||