Stacked chord: Difference between revisions

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Wikispaces>xenwolf
**Imported revision 451716146 - Original comment: I tried to add some links and some typo to the lemma - I hope this will be ok :)**
Wikispaces>Andrew_Heathwaite
**Imported revision 451863446 - 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:xenwolf|xenwolf]] and made on <tt>2013-09-17 03:21:15 UTC</tt>.<br>
: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2013-09-17 13:50:48 UTC</tt>.<br>
: The original revision id was <tt>451716146</tt>.<br>
: The original revision id was <tt>451863446</tt>.<br>
: The revision comment was: <tt>I tried to add some links and some typo to the lemma - I hope this will be ok :)</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>
<h4>Original Wikitext content:</h4>
<h4>Original Wikitext content:</h4>
Line 11: Line 11:


|| **Name** || **Divides interval** || **Chord Formula** || **Odd Limit** ||
|| **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 ||
|| &lt;span class="adtext"&gt;Major&lt;/span&gt;
Major || 3/2 || 5/4 + 6/5 or M3 + m3 || 5 ||
|| Minor || 3/2 || 6/5 + 5/4 or m3 + M3 || 5 ||
|| Minor || 3/2 || 6/5 + 5/4 or m3 + M3 || 5 ||
|| Augmented || [[25_16|25/16]] || 5/4 + 5/4 or M3 + M3 || 25 ||
|| Augmented || [[25_16|25/16]] || 5/4 + 5/4 or M3 + M3 || 25 ||
|| &lt;span class="adtext"&gt;Diminished&lt;/span&gt; || [[25_18|25/18]] || 6/5 + 6/5 or m3 + m3 || 25 ||
|| &lt;span class="adtext"&gt;Diminished&lt;/span&gt;
Diminished || [[25_18|25/18]] || 6/5 + 6/5 or m3 + m3 || 25 ||
== ==  
== ==  


Line 22: Line 24:
|| Septimal Major || 3/2 || [[9_7|9/7]] + 7/6 or 7M3 + 7m3 || 9 ||
|| Septimal Major || 3/2 || [[9_7|9/7]] + 7/6 or 7M3 + 7m3 || 9 ||
|| Septimal Minor || 3/2 || [[7_6|7/6]] + 9/7 or 7m3 + 7M3 || 9 ||
|| Septimal Minor || 3/2 || [[7_6|7/6]] + 9/7 or 7m3 + 7M3 || 9 ||
||   ||   ||   ||   ||
|| [[Marvel]]-Tempered Augmented || 14/9 || 5/4 + 5/4 or M3 + M3 || 9 ||
||   ||   ||   ||   ||
|| [[Starling]]-Tempered Diminished || 12/7 || 6/5 + 6/5 or m3 + m3 || 9 ||
==11-limit tertiary harmonic triads==  
==11-limit tertiary harmonic triads==  


|| **&lt;span style="line-height: 1.5;"&gt;Name&lt;/span&gt;** || **&lt;span style="line-height: 1.5;"&gt;Divides interval&lt;/span&gt;** || **Chord Formula** || **Odd Limit** ||
|| **&lt;span style="line-height: 1.5;"&gt;Name&lt;/span&gt;** || **&lt;span style="line-height: 1.5;"&gt;Divides interval&lt;/span&gt;** || **Chord Formula** || **Odd Limit** ||
|| Neutral || 3/2 || [[11_9|11/9]] + 11/9 || 11 ||
|| Neutral || 3/2 || [[11_9|11/9]] + 11/9 || 11 ||
||   ||   ||   ||   ||</pre></div>
|| 7:9:11 || 11/7 || 9/7 + 11/9 or SM3 + N3 || 11 ||</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;Stacked Chords&lt;/title&gt;&lt;/head&gt;&lt;body&gt;In Music, &lt;strong&gt;&lt;span class="adtext"&gt;stacked&lt;/span&gt; chords&lt;/strong&gt; are a set of well-&lt;span class="adtext"&gt;defined&lt;/span&gt; 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 &lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt; or perfect fifth into two varying sizes of thirds. Stacked chords must be at least &lt;a class="wiki_link" href="/Triad"&gt;triadic&lt;/a&gt; as dyadic can only contain one &lt;a class="wiki_link" href="/Interval"&gt;interval&lt;/a&gt;.&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;Stacked Chords&lt;/title&gt;&lt;/head&gt;&lt;body&gt;In Music, &lt;strong&gt;&lt;span class="adtext"&gt;stacked&lt;/span&gt; chords&lt;/strong&gt; are a set of well-&lt;span class="adtext"&gt;defined&lt;/span&gt; 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 &lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt; or perfect fifth into two varying sizes of thirds. Stacked chords must be at least &lt;a class="wiki_link" href="/Triad"&gt;triadic&lt;/a&gt; as dyadic can only contain one &lt;a class="wiki_link" href="/Interval"&gt;interval&lt;/a&gt;.&lt;br /&gt;
Line 49: Line 51:
     &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;span class="adtext"&gt;Major&lt;/span&gt;&lt;br /&gt;
Major&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;3/2&lt;br /&gt;
         &lt;td&gt;3/2&lt;br /&gt;
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     &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;span class="adtext"&gt;Diminished&lt;/span&gt;&lt;br /&gt;
Diminished&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/25_18"&gt;25/18&lt;/a&gt;&lt;br /&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/25_18"&gt;25/18&lt;/a&gt;&lt;br /&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/Marvel"&gt;Marvel&lt;/a&gt;-Tempered Augmented&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;14/9&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;5/4 + 5/4 or M3 + M3&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;9&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/Starling"&gt;Starling&lt;/a&gt;-Tempered Diminished&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;12/7&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;6/5 + 6/5 or m3 + m3&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;9&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;7:9:11&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;11/7&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;9/7 + 11/9 or SM3 + N3&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;br /&gt;
         &lt;td&gt;11&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;

Revision as of 13:50, 17 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 Andrew_Heathwaite and made on 2013-09-17 13:50:48 UTC.
The original revision id was 451863446.
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|3/2]] or perfect fifth into two varying sizes of thirds. Stacked chords must be at least [[Triad|triadic]] as dyadic can only contain one [[Interval|interval]].

==5-limit tertiary harmonic triads== 

|| **Name** || **Divides interval** || **Chord Formula** || **Odd Limit** ||
|| <span class="adtext">Major</span>
Major || 3/2 || 5/4 + 6/5 or M3 + m3 || 5 ||
|| Minor || 3/2 || 6/5 + 5/4 or m3 + M3 || 5 ||
|| Augmented || [[25_16|25/16]] || 5/4 + 5/4 or M3 + M3 || 25 ||
|| <span class="adtext">Diminished</span>
Diminished || [[25_18|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|9/7]] + 7/6 or 7M3 + 7m3 || 9 ||
|| Septimal Minor || 3/2 || [[7_6|7/6]] + 9/7 or 7m3 + 7M3 || 9 ||
|| [[Marvel]]-Tempered Augmented || 14/9 || 5/4 + 5/4 or M3 + M3 || 9 ||
|| [[Starling]]-Tempered Diminished || 12/7 || 6/5 + 6/5 or m3 + m3 || 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]] + 11/9 || 11 ||
|| 7:9:11 || 11/7 || 9/7 + 11/9 or SM3 + N3 || 11 ||

Original HTML content:

<html><head><title>Stacked Chords</title></head><body>In Music, <strong><span class="adtext">stacked</span> chords</strong> 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 <a class="wiki_link" href="/3_2">3/2</a> or perfect fifth into two varying sizes of thirds. Stacked chords must be at least <a class="wiki_link" href="/Triad">triadic</a> as dyadic can only contain one <a class="wiki_link" href="/Interval">interval</a>.<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 />
Major<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><a class="wiki_link" href="/25_16">25/16</a><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 />
Diminished<br />
</td>
        <td><a class="wiki_link" href="/25_18">25/18</a><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><a class="wiki_link" href="/9_7">9/7</a> + 7/6 or 7M3 + 7m3<br />
</td>
        <td>9<br />
</td>
    </tr>
    <tr>
        <td>Septimal Minor<br />
</td>
        <td>3/2<br />
</td>
        <td><a class="wiki_link" href="/7_6">7/6</a> + 9/7 or 7m3 + 7M3<br />
</td>
        <td>9<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/Marvel">Marvel</a>-Tempered Augmented<br />
</td>
        <td>14/9<br />
</td>
        <td>5/4 + 5/4 or M3 + M3<br />
</td>
        <td>9<br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/Starling">Starling</a>-Tempered Diminished<br />
</td>
        <td>12/7<br />
</td>
        <td>6/5 + 6/5 or m3 + m3<br />
</td>
        <td>9<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><a class="wiki_link" href="/11_9">11/9</a> + 11/9<br />
</td>
        <td>11<br />
</td>
    </tr>
    <tr>
        <td>7:9:11<br />
</td>
        <td>11/7<br />
</td>
        <td>9/7 + 11/9 or SM3 + N3<br />
</td>
        <td>11<br />
</td>
    </tr>
</table>

</body></html>