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