Cluster MOS: Difference between revisions

Wikispaces>phylingual
**Imported revision 334262170 - Original comment: **
Wikispaces>keenanpepper
**Imported revision 385545002 - 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:phylingual|phylingual]] and made on <tt>2012-05-12 20:18:31 UTC</tt>.<br>
: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2012-11-24 12:58:00 UTC</tt>.<br>
: The original revision id was <tt>334262170</tt>.<br>
: The original revision id was <tt>385545002</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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|| 3 || 10/7 || 16/11 || 40/27 || 3/2 || 32/21 || 14/9 || 11/7 || 8/5 ||
|| 3 || 10/7 || 16/11 || 40/27 || 3/2 || 32/21 || 14/9 || 11/7 || 8/5 ||
|| 4 || 18/11 || 5/3 || 27/16 || 12/7 || 7/4 || 16/9 || 9/5 || 11/6 ||
|| 4 || 18/11 || 5/3 || 27/16 || 12/7 || 7/4 || 16/9 || 9/5 || 11/6 ||
==Modus==  
==Modus==  
Main article: [[Modus]]
Main article: [[Modus]]
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|| 5 || 8/5 || 18/11 || 5/3 || 22/13~27/16 ||
|| 5 || 8/5 || 18/11 || 5/3 || 22/13~27/16 ||
|| 6 || 16/9 || 9/5 || 11/6 || 15/8 ||
|| 6 || 16/9 || 9/5 || 11/6 || 15/8 ||
==Miracle==  
==Miracle==  
Main article: [[Miracle]]
Main article: [[Miracle]]
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|| 8 ||  || 27/16 || 12/7 || 7/4 || 16/9 || 20/11 ||
|| 8 ||  || 27/16 || 12/7 || 7/4 || 16/9 || 20/11 ||
|| 9 ||  || 9/5 || 11/6 || 15/8 || 21/11 ||  ||
|| 9 ||  || 9/5 || 11/6 || 15/8 || 21/11 ||  ||
==Porcupine(fish)==  
==Porcupine(fish)==  
Main article: [[Porcupine]]
Main article: [[Porcupine]]
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|| 12 ||  || 27/16 || 12/7 || 7/4 || 16/9 ||  ||
|| 12 ||  || 27/16 || 12/7 || 7/4 || 16/9 ||  ||
|| 13 || 17/10 || 30/14 || 9/5 || 11/6~20/11 || 13/7 ||  ||
|| 13 || 17/10 || 30/14 || 9/5 || 11/6~20/11 || 13/7 ||  ||
|| 14 ||  || 24/13 || 15/8 || 40/21~48/25 || 35/18 ||  ||</pre></div>
|| 14 ||  || 24/13 || 15/8 || 40/21~48/25 || 35/18 ||  ||
 
==2.3.5.11.13 hitchcock==
Unlike amity itself, this 2.3.5.11.13 amity extension is a cluster temperament because the intervals between 6/5 and 5/4 are mapped to 11/9 and 16/13.
|| Steps ||  ||  ||  ||  ||  ||  ||
|| 1 ||  || 13/12 || 12/11~11/10 || 10/9 || 9/8 ||  ||
|| 2 || 13/11 || 6/5 || 11/9 || 16/13 || 5/4 ||  ||
|| 3 || 13/10 ||  || 4/3 || 27/20 || 11/8 || 18/13 ||
|| 4 || 13/9 || 16/11 || 40/27 || 3/2 ||  || 20/13 ||
|| 5 ||  || 8/5 || 13/8 || 18/11 || 5/3 || 22/13 ||
|| 6 ||  || 16/9 || 9/5 || 11/6 || 24/13 ||  ||</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;Cluster temperament&lt;/title&gt;&lt;/head&gt;&lt;body&gt;A cluster temperament (named by &lt;a class="wiki_link" href="/Keenan%20Pepper"&gt;Keenan Pepper&lt;/a&gt;) is a very particular kind of rank-2 temperament whose generator is quite near a rational fraction of an octave. Therefore some MOS of the temperament is quasi-equal (which should be reasonably sized for it to be a good cluster temperament, usually between 5 and 10 notes per octave). But not only that; in a cluster temperament, the different versions of each interval, differing by a chroma (&amp;quot;diminished&amp;quot;, &amp;quot;minor&amp;quot;, &amp;quot;major&amp;quot;, &amp;quot;augmented&amp;quot;...) include many nearby JI intervals that are individually recognizable, yet conceptually grouped into the same category (or &amp;quot;cluster&amp;quot;) because they're so close.&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;Cluster temperament&lt;/title&gt;&lt;/head&gt;&lt;body&gt;A cluster temperament (named by &lt;a class="wiki_link" href="/Keenan%20Pepper"&gt;Keenan Pepper&lt;/a&gt;) is a very particular kind of rank-2 temperament whose generator is quite near a rational fraction of an octave. Therefore some MOS of the temperament is quasi-equal (which should be reasonably sized for it to be a good cluster temperament, usually between 5 and 10 notes per octave). But not only that; in a cluster temperament, the different versions of each interval, differing by a chroma (&amp;quot;diminished&amp;quot;, &amp;quot;minor&amp;quot;, &amp;quot;major&amp;quot;, &amp;quot;augmented&amp;quot;...) include many nearby JI intervals that are individually recognizable, yet conceptually grouped into the same category (or &amp;quot;cluster&amp;quot;) because they're so close.&lt;br /&gt;
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&lt;/table&gt;
&lt;/table&gt;


&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="Examples-Modus"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Modus&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="Examples-Modus"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Modus&lt;/h2&gt;
  Main article: &lt;a class="wiki_link" href="/Modus"&gt;Modus&lt;/a&gt;&lt;br /&gt;
  Main article: &lt;a class="wiki_link" href="/Modus"&gt;Modus&lt;/a&gt;&lt;br /&gt;
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&lt;/table&gt;
&lt;/table&gt;


&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="Examples-Miracle"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Miracle&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="Examples-Miracle"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Miracle&lt;/h2&gt;
  Main article: &lt;a class="wiki_link" href="/Miracle"&gt;Miracle&lt;/a&gt;&lt;br /&gt;
  Main article: &lt;a class="wiki_link" href="/Miracle"&gt;Miracle&lt;/a&gt;&lt;br /&gt;
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&lt;/table&gt;
&lt;/table&gt;


&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc6"&gt;&lt;a name="Examples-Porcupine(fish)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Porcupine(fish)&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc6"&gt;&lt;a name="Examples-Porcupine(fish)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Porcupine(fish)&lt;/h2&gt;
  Main article: &lt;a class="wiki_link" href="/Porcupine"&gt;Porcupine&lt;/a&gt;&lt;br /&gt;
  Main article: &lt;a class="wiki_link" href="/Porcupine"&gt;Porcupine&lt;/a&gt;&lt;br /&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;35/18&lt;br /&gt;
         &lt;td&gt;35/18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="Examples-2.3.5.11.13 hitchcock"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;2.3.5.11.13 hitchcock&lt;/h2&gt;
Unlike amity itself, this 2.3.5.11.13 amity extension is a cluster temperament because the intervals between 6/5 and 5/4 are mapped to 11/9 and 16/13.&lt;br /&gt;
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;Steps&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13/12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12/11~11/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16/13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5/4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13/10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4/3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;27/20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;18/13&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;40/27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3/2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;20/13&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13/8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;18/11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5/3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22/13&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16/9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9/5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11/6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;24/13&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;br /&gt;