Stacked chord: Difference between revisions

Revision as of 10:24, 12 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 2013-09-12 10:24:25 UTC.

The original revision id was 450584140.

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-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>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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>2013-09-12 10:13:20 UTC</tt>.<br>
+: This revision was by author [[User:kentaku|kentaku]] and made on <tt>2013-09-12 10:24:25 UTC</tt>.<br>
-: The original revision id was <tt>450580522</tt>.<br>
+: The original revision id was <tt>450584140</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>
 <h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">In Music, stacked 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.
+<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;white-space: pre-wrap ! important" class="old-revision-html">In Music, &lt;span class="adtext"&gt;stacked&lt;/span&gt; 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** || **Isolate State** ||
+|| **Name** || **Divides interval** || **Chord Formula** || **&lt;span class="adtext"&gt;Harmonic&lt;/span&gt; State** ||
-|| Major || 3/2 || 5/4 + 6/5 or M3 + m3 || Stable ||
+|| &lt;span class="adtext"&gt;Major&lt;/span&gt; || 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 ||
-|| Diminished || 25/18 || 6/5 + 6/5 or m3 + m3 || Unstable ||
+|| &lt;span class="adtext"&gt;Diminished&lt;/span&gt; || 25/18 || 6/5 + 6/5 or m3 + m3 || Unstable ||
 ==7-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** || **Isolate State** ||
+|| **&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** || **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 ||
-|| Aug ||   ||   || Unstable ||
+||   ||   ||   ||   ||
-|| Dim ||   ||   || Unstable ||</pre></div>
+||   ||   ||   ||   ||
+==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** || **Isolate State** ||
+|| Neutral || 3/2 || 11/9 + 11/9 || Semi-stable ||
+|| Super Major || 3/2 ||   || Semi-stable ||</pre></div>
 <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, stacked 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.&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;span class="adtext"&gt;stacked&lt;/span&gt; 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.&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-5-limit tertiary harmonic triads"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;5-limit tertiary harmonic triads&lt;/h2&gt;
@@ Line 38: / Line 43: @@
          &lt;td&gt;&lt;strong&gt;Chord Formula&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;strong&gt;Isolate State&lt;/strong&gt;&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;&lt;span class="adtext"&gt;Harmonic&lt;/span&gt; State&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;Major&lt;br /&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;
@@ Line 72: / Line 77: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;Diminished&lt;br /&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;
@@ Line 96: / Line 101: @@
          &lt;td&gt;&lt;strong&gt;Chord Formula&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;strong&gt;Isolate State&lt;/strong&gt;&lt;br /&gt;
+         &lt;td&gt;&lt;strong&gt;Harmonic State&lt;/strong&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 120: / Line 125: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;Aug&lt;br /&gt;
+         &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 126: / Line 131: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Unstable&lt;br /&gt;
+         &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td&gt;Dim&lt;br /&gt;
+         &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 136: / Line 141: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Unstable&lt;br /&gt;
+         &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+&lt;/table&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="x-11-limit tertiary harmonic triads"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;11-limit tertiary harmonic triads&lt;/h2&gt;
+ &lt;br /&gt;
+&lt;table class="wiki_table"&gt;
+    &lt;tr&gt;
+        &lt;td&gt;&lt;strong&gt;&lt;span style="line-height: 1.5;"&gt;Name&lt;/span&gt;&lt;/strong&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;strong&gt;&lt;span style="line-height: 1.5;"&gt;Divides interval&lt;/span&gt;&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;Isolate State&lt;/strong&gt;&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;Neutral&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;3/2&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;11/9 + 11/9&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;Semi-stable&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;Super Major&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;3/2&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;Semi-stable&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;

Stacked chord: Difference between revisions

Revision as of 10:24, 12 September 2013

IMPORTED REVISION FROM WIKISPACES

Original Wikitext content:

Original HTML content:

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