Stacked chord: Difference between revisions

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Wikispaces>kentaku
**Imported revision 450883782 - Original comment: **
Wikispaces>kentaku
**Imported revision 450884086 - 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:kentaku|kentaku]] and made on <tt>2013-09-13 10:29:19 UTC</tt>.<br>
: This revision was by author [[User:kentaku|kentaku]] and made on <tt>2013-09-13 10:30:11 UTC</tt>.<br>
: The original revision id was <tt>450883782</tt>.<br>
: The original revision id was <tt>450884086</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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|| Augmented || 25/16 || 5/4 + 5/4 or M3 + M3 || 25 ||
|| Augmented || 25/16 || 5/4 + 5/4 or M3 + M3 || 25 ||
|| &lt;span class="adtext"&gt;Diminished&lt;/span&gt; || 25/18 || 6/5 + 6/5 or m3 + m3 || 25 ||
|| &lt;span class="adtext"&gt;Diminished&lt;/span&gt; || 25/18 || 6/5 + 6/5 or m3 + m3 || 25 ||
==5-limit tertiary harmonic tetrads==  
== ==  
 
|| **Name** || **Divides interval** || **Chord Formula** || **Odd Limit** ||
|| &lt;span class="adtext"&gt;Major&lt;/span&gt; || 3/2 || 5/4 + 6/5 or M3 + m3 || 5 ||
|| Minor || 3/2 || 6/5 + 5/4 or m3 + M3 || 5 ||
|| Augmented || 25/16 || 5/4 + 5/4 or M3 + M3 || 25 ||
|| &lt;span class="adtext"&gt;Diminished&lt;/span&gt; || 25/18 || 6/5 + 6/5 or m3 + m3 || 25 ||
 


==7-limit tertiary harmonic triads==  
==7-limit tertiary harmonic triads==  
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&lt;/table&gt;
&lt;/table&gt;


&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x-5-limit tertiary harmonic tetrads"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;5-limit tertiary harmonic tetrads&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt; &lt;/h2&gt;
  &lt;br /&gt;
  &lt;br /&gt;
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;strong&gt;Name&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;Divides interval&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;Chord Formula&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;Odd Limit&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span class="adtext"&gt;Major&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3/2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5/4 + 6/5 or M3 + m3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Minor&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3/2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6/5 + 5/4 or m3 + M3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;Augmented&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;25/16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5/4 + 5/4 or M3 + M3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;25&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span class="adtext"&gt;Diminished&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;25/18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6/5 + 6/5 or m3 + m3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;25&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="x-7-limit tertiary harmonic triads"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;7-limit tertiary harmonic triads&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="x-7-limit tertiary harmonic triads"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;7-limit tertiary harmonic triads&lt;/h2&gt;
  &lt;br /&gt;
  &lt;br /&gt;

Revision as of 10:30, 13 September 2013

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author kentaku and made on 2013-09-13 10:30:11 UTC.
The original revision id was 450884086.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

In Music, <span class="adtext">stacked</span> chords are a set of well-<span class="adtext">defined</span> pitches sounding together consisting of a stack of varying flavors or qualities of the same numerical interval. The most common stacked chords comprise of splitting a 3/2 or perfect fifth into two varying sizes of thirds. Stacked chords must be at least triadic as dyadic can only contain on interval.

==5-limit tertiary harmonic triads== 

|| **Name** || **Divides interval** || **Chord Formula** || **Odd Limit** ||
|| <span class="adtext">Major</span> || 3/2 || 5/4 + 6/5 or M3 + m3 || 5 ||
|| Minor || 3/2 || 6/5 + 5/4 or m3 + M3 || 5 ||
|| Augmented || 25/16 || 5/4 + 5/4 or M3 + M3 || 25 ||
|| <span class="adtext">Diminished</span> || 25/18 || 6/5 + 6/5 or m3 + m3 || 25 ||
== == 

==7-limit tertiary harmonic triads== 

|| **<span style="line-height: 1.5;">Name</span>** || **<span style="line-height: 1.5;">Divides interval</span>** || **Chord Formula** || **Odd Limit** ||
|| Septimal Major || 3/2 || 9/7 + 7/6 or 7M3 + 7m3 || 9 ||
|| Septimal Minor || 3/2 || 7/6 + 9/7 or 7m3 + 7M3 || 9 ||
||   ||   ||   ||   ||
||   ||   ||   ||   ||
==11-limit tertiary harmonic triads== 

|| **<span style="line-height: 1.5;">Name</span>** || **<span style="line-height: 1.5;">Divides interval</span>** || **Chord Formula** || **Odd Limit** ||
|| Neutral || 3/2 || 11/9 + 11/9 || 11 ||
||   ||   ||   ||   ||

Original HTML content:

<html><head><title>Stacked Chords</title></head><body>In Music, <span class="adtext">stacked</span> chords are a set of well-<span class="adtext">defined</span> pitches sounding together consisting of a stack of varying flavors or qualities of the same numerical interval. The most common stacked chords comprise of splitting a 3/2 or perfect fifth into two varying sizes of thirds. Stacked chords must be at least triadic as dyadic can only contain on interval.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-5-limit tertiary harmonic triads"></a><!-- ws:end:WikiTextHeadingRule:0 -->5-limit tertiary harmonic triads</h2>
 <br />


<table class="wiki_table">
    <tr>
        <td><strong>Name</strong><br />
</td>
        <td><strong>Divides interval</strong><br />
</td>
        <td><strong>Chord Formula</strong><br />
</td>
        <td><strong>Odd Limit</strong><br />
</td>
    </tr>
    <tr>
        <td><span class="adtext">Major</span><br />
</td>
        <td>3/2<br />
</td>
        <td>5/4 + 6/5 or M3 + m3<br />
</td>
        <td>5<br />
</td>
    </tr>
    <tr>
        <td>Minor<br />
</td>
        <td>3/2<br />
</td>
        <td>6/5 + 5/4 or m3 + M3<br />
</td>
        <td>5<br />
</td>
    </tr>
    <tr>
        <td>Augmented<br />
</td>
        <td>25/16<br />
</td>
        <td>5/4 + 5/4 or M3 + M3<br />
</td>
        <td>25<br />
</td>
    </tr>
    <tr>
        <td><span class="adtext">Diminished</span><br />
</td>
        <td>25/18<br />
</td>
        <td>6/5 + 6/5 or m3 + m3<br />
</td>
        <td>25<br />
</td>
    </tr>
</table>

<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><!-- ws:end:WikiTextHeadingRule:2 --> </h2>
 <br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="x-7-limit tertiary harmonic triads"></a><!-- ws:end:WikiTextHeadingRule:4 -->7-limit tertiary harmonic triads</h2>
 <br />


<table class="wiki_table">
    <tr>
        <td><strong><span style="line-height: 1.5;">Name</span></strong><br />
</td>
        <td><strong><span style="line-height: 1.5;">Divides interval</span></strong><br />
</td>
        <td><strong>Chord Formula</strong><br />
</td>
        <td><strong>Odd Limit</strong><br />
</td>
    </tr>
    <tr>
        <td>Septimal Major<br />
</td>
        <td>3/2<br />
</td>
        <td>9/7 + 7/6 or 7M3 + 7m3<br />
</td>
        <td>9<br />
</td>
    </tr>
    <tr>
        <td>Septimal Minor<br />
</td>
        <td>3/2<br />
</td>
        <td>7/6 + 9/7 or 7m3 + 7M3<br />
</td>
        <td>9<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
</table>

<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="x-11-limit tertiary harmonic triads"></a><!-- ws:end:WikiTextHeadingRule:6 -->11-limit tertiary harmonic triads</h2>
 <br />


<table class="wiki_table">
    <tr>
        <td><strong><span style="line-height: 1.5;">Name</span></strong><br />
</td>
        <td><strong><span style="line-height: 1.5;">Divides interval</span></strong><br />
</td>
        <td><strong>Chord Formula</strong><br />
</td>
        <td><strong>Odd Limit</strong><br />
</td>
    </tr>
    <tr>
        <td>Neutral<br />
</td>
        <td>3/2<br />
</td>
        <td>11/9 + 11/9<br />
</td>
        <td>11<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
</table>

</body></html>