Xenharmonic Wiki

Stacked chord

Revision as of 10:24, 12 September 2013 by Wikispaces>kentaku (**Imported revision 450584140 - Original comment: **)

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Original Wikitext content:

In Music, <span class="adtext">stacked</span> chords are a set of well-defined 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** || **<span class="adtext">Harmonic</span> State** ||
|| <span class="adtext">Major</span> || 3/2 || 5/4 + 6/5 or M3 + m3 || Stable ||
|| Minor || 3/2 || 6/5 + 5/4 or m3 + M3 || Stable ||
|| Augmented || 25/16 || 5/4 + 5/4 or M3 + M3 || Unstable ||
|| <span class="adtext">Diminished</span> || 25/18 || 6/5 + 6/5 or m3 + m3 || Unstable ||

==7-limit tertiary harmonic triads== 

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

|| **<span style="line-height: 1.5;">Name</span>** || **<span style="line-height: 1.5;">Divides interval</span>** || **Chord Formula** || **Isolate State** ||
|| Neutral || 3/2 || 11/9 + 11/9 || Semi-stable ||
|| Super Major || 3/2 ||   || Semi-stable ||

Original HTML content:

<html><head><title>Stacked Chords</title></head><body>In Music, <span class="adtext">stacked</span> chords are a set of well-defined 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><span class="adtext">Harmonic</span> State</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>Stable<br />
</td>
    </tr>
    <tr>
        <td>Minor<br />
</td>
        <td>3/2<br />
</td>
        <td>6/5 + 5/4 or m3 + M3<br />
</td>
        <td>Stable<br />
</td>
    </tr>
    <tr>
        <td>Augmented<br />
</td>
        <td>25/16<br />
</td>
        <td>5/4 + 5/4 or M3 + M3<br />
</td>
        <td>Unstable<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>Unstable<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-7-limit tertiary harmonic triads"></a><!-- ws:end:WikiTextHeadingRule:2 -->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>Harmonic State</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>Stable<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>Stable<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:4:&lt;h2&gt; --><h2 id="toc2"><a name="x-11-limit tertiary harmonic triads"></a><!-- ws:end:WikiTextHeadingRule:4 -->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>Isolate State</strong><br />
</td>
    </tr>
    <tr>
        <td>Neutral<br />
</td>
        <td>3/2<br />
</td>
        <td>11/9 + 11/9<br />
</td>
        <td>Semi-stable<br />
</td>
    </tr>
    <tr>
        <td>Super Major<br />
</td>
        <td>3/2<br />
</td>
        <td><br />
</td>
        <td>Semi-stable<br />
</td>
    </tr>
</table>

</body></html>
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