Consonant class scale: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 291070883 - Original comment: **
Wikispaces>kalleaho
**Imported revision 291263313 - 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:genewardsmith|genewardsmith]] and made on <tt>2012-01-10 15:01:38 UTC</tt>.<br>
: This revision was by author [[User:kalleaho|kalleaho]] and made on <tt>2012-01-11 09:11:39 UTC</tt>.<br>
: The original revision id was <tt>291070883</tt>.<br>
: The original revision id was <tt>291263313</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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* Dominant[7] (3-step intervals consist of 6 4/3's and 1 10/7)
* Dominant[7] (3-step intervals consist of 6 4/3's and 1 10/7)
* Rodan[21] (9-step intervals consist of 18 4/3's and 3 10/7's)
* Rodan[21] (9-step intervals consist of 18 4/3's and 3 10/7's)
===3.5.7-subgroup===
===={5/3, 7/5}====
* Rank-2 Bohlen-Pierce[5] (2-step intervals consist of 3 5/3's and 2 7/5's)


==Rank-3 consonant class scales==  
==Rank-3 consonant class scales==  
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* Breed or Jove, 7 notes (3-step intervals consist of 2 5/4's, 1 4/3, and 4 7/5's)
* Breed or Jove, 7 notes (3-step intervals consist of 2 5/4's, 1 4/3, and 4 7/5's)


=Links=
=Links=  
http://tech.groups.yahoo.com/group/tuning-math/message/6056
http://tech.groups.yahoo.com/group/tuning-math/message/6056
http://tech.groups.yahoo.com/group/tuning-math/message/6060
http://tech.groups.yahoo.com/group/tuning-math/message/6060
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http://tech.groups.yahoo.com/group/tuning-math/message/15483
http://tech.groups.yahoo.com/group/tuning-math/message/15483
http://tech.groups.yahoo.com/group/tuning-math/message/15501
http://tech.groups.yahoo.com/group/tuning-math/message/15501
http://launch.groups.yahoo.com/group/tuning/message/41360
http://launch.groups.yahoo.com/group/tuning/message/41360</pre></div>
</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;Consonant class scale&lt;/title&gt;&lt;/head&gt;&lt;body&gt;A &lt;strong&gt;consonant class scale&lt;/strong&gt; is a scale with a &lt;strong&gt;consonant interval class&lt;/strong&gt;, that is, a number n such that all n-step intervals of the scale are &amp;quot;consonances&amp;quot; (of a certain odd limit).&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;Consonant class scale&lt;/title&gt;&lt;/head&gt;&lt;body&gt;A &lt;strong&gt;consonant class scale&lt;/strong&gt; is a scale with a &lt;strong&gt;consonant interval class&lt;/strong&gt;, that is, a number n such that all n-step intervals of the scale are &amp;quot;consonances&amp;quot; (of a certain odd limit).&lt;br /&gt;
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  &lt;ul&gt;&lt;li&gt;Deutone[7] (3-step intervals consist of 4 7/5's and 3 9/7's)&lt;/li&gt;&lt;/ul&gt;&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc11"&gt;&lt;a name="x-Rank-2 consonant class scales-7-limit-{4/3, 7/5}"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;{4/3, 7/5}&lt;/h4&gt;
  &lt;ul&gt;&lt;li&gt;Deutone[7] (3-step intervals consist of 4 7/5's and 3 9/7's)&lt;/li&gt;&lt;/ul&gt;&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc11"&gt;&lt;a name="x-Rank-2 consonant class scales-7-limit-{4/3, 7/5}"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;{4/3, 7/5}&lt;/h4&gt;
  &lt;ul&gt;&lt;li&gt;Meantone[7] (3-step intervals consist of 6 4/3's and 1 7/5; both 2-step intervals are also consonant)&lt;/li&gt;&lt;li&gt;Negri[9] (4-step intervals consist of 5 4/3's and 4 7/5's)&lt;/li&gt;&lt;/ul&gt;&lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc12"&gt;&lt;a name="x-Rank-2 consonant class scales-7-limit-{4/3, 10/7}"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;{4/3, 10/7}&lt;/h4&gt;
  &lt;ul&gt;&lt;li&gt;Meantone[7] (3-step intervals consist of 6 4/3's and 1 7/5; both 2-step intervals are also consonant)&lt;/li&gt;&lt;li&gt;Negri[9] (4-step intervals consist of 5 4/3's and 4 7/5's)&lt;/li&gt;&lt;/ul&gt;&lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc12"&gt;&lt;a name="x-Rank-2 consonant class scales-7-limit-{4/3, 10/7}"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;{4/3, 10/7}&lt;/h4&gt;
  &lt;ul&gt;&lt;li&gt;Garibaldi[7] (3-step intervals consist of 6 4/3's and 1 10/7)&lt;/li&gt;&lt;li&gt;Dominant[7] (3-step intervals consist of 6 4/3's and 1 10/7)&lt;/li&gt;&lt;li&gt;Rodan[21] (9-step intervals consist of 18 4/3's and 3 10/7's)&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
  &lt;ul&gt;&lt;li&gt;Garibaldi[7] (3-step intervals consist of 6 4/3's and 1 10/7)&lt;/li&gt;&lt;li&gt;Dominant[7] (3-step intervals consist of 6 4/3's and 1 10/7)&lt;/li&gt;&lt;li&gt;Rodan[21] (9-step intervals consist of 18 4/3's and 3 10/7's)&lt;/li&gt;&lt;/ul&gt;&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc13"&gt;&lt;a name="x-Rank-2 consonant class scales-3.5.7-subgroup"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;3.5.7-subgroup&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc13"&gt;&lt;a name="x-Rank-3 consonant class scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;Rank-3 consonant class scales&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc14"&gt;&lt;a name="x-Rank-2 consonant class scales-3.5.7-subgroup-{5/3, 7/5}"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;{5/3, 7/5}&lt;/h4&gt;
  &lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc14"&gt;&lt;a name="x-Rank-3 consonant class scales-7-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;7-limit&lt;/h3&gt;
&lt;ul&gt;&lt;li&gt;Rank-2 Bohlen-Pierce[5] (2-step intervals consist of 3 5/3's and 2 7/5's)&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
  &lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc15"&gt;&lt;a name="x-Rank-3 consonant class scales-7-limit-{8/7, 6/5, 5/4}"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;{8/7, 6/5, 5/4}&lt;/h4&gt;
&lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc15"&gt;&lt;a name="x-Rank-3 consonant class scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;Rank-3 consonant class scales&lt;/h2&gt;
  &lt;ul&gt;&lt;li&gt;Marvel, 7 notes (2-step intervals consist of 1 8/7, 2 6/5's, and 4 5/4's)&lt;/li&gt;&lt;/ul&gt;&lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc16"&gt;&lt;a name="x-Rank-3 consonant class scales-7-limit-{7/6, 6/5, 5/4}"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;{7/6, 6/5, 5/4}&lt;/h4&gt;
  &lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc16"&gt;&lt;a name="x-Rank-3 consonant class scales-7-limit"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;7-limit&lt;/h3&gt;
  &lt;ul&gt;&lt;li&gt;Hewuermity or &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/zeus7"&gt;Zeus&lt;/a&gt;, 7 notes (2-step intervals consist of 2 7/6's, 1 6/5, and 4 5/4's)&lt;/li&gt;&lt;/ul&gt;&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc17"&gt;&lt;a name="x-Rank-3 consonant class scales-7-limit-{5/4, 4/3, 7/5}"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;{5/4, 4/3, 7/5}&lt;/h4&gt;
  &lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc17"&gt;&lt;a name="x-Rank-3 consonant class scales-7-limit-{8/7, 6/5, 5/4}"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;{8/7, 6/5, 5/4}&lt;/h4&gt;
  &lt;ul&gt;&lt;li&gt;Marvel, 7 notes (2-step intervals consist of 1 8/7, 2 6/5's, and 4 5/4's)&lt;/li&gt;&lt;/ul&gt;&lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc18"&gt;&lt;a name="x-Rank-3 consonant class scales-7-limit-{7/6, 6/5, 5/4}"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;{7/6, 6/5, 5/4}&lt;/h4&gt;
  &lt;ul&gt;&lt;li&gt;Hewuermity or &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/zeus7"&gt;Zeus&lt;/a&gt;, 7 notes (2-step intervals consist of 2 7/6's, 1 6/5, and 4 5/4's)&lt;/li&gt;&lt;/ul&gt;&lt;!-- ws:start:WikiTextHeadingRule:38:&amp;lt;h4&amp;gt; --&gt;&lt;h4 id="toc19"&gt;&lt;a name="x-Rank-3 consonant class scales-7-limit-{5/4, 4/3, 7/5}"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:38 --&gt;{5/4, 4/3, 7/5}&lt;/h4&gt;
  &lt;ul&gt;&lt;li&gt;Breed or Jove, 7 notes (3-step intervals consist of 2 5/4's, 1 4/3, and 4 7/5's)&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
  &lt;ul&gt;&lt;li&gt;Breed or Jove, 7 notes (3-step intervals consist of 2 5/4's, 1 4/3, and 4 7/5's)&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
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