7/4: Difference between revisions

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<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:~~genewardsmith~~|~~genewardsmith~~]] and made on <tt>~~2011~~-08-~~08 14~~:44:46 UTC</tt>.<br>

: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2013-05-22 16:46:23 UTC</tt>.<br>

: The original revision id was <tt>~~244881117~~</tt>.<br>

: The original revision id was <tt>433607490</tt>.<br>

: The revision comment was: <tt></tt><br>

: The revision comment was: <tt>typography and links added</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">Frequency ratio 7:4, measuring approximately 968.8259064691249 cents, has been given the name "harmonic seventh." It represents the interval between the 4th and 7th harmonics in the [[OverToneSeries|overtone series]]. It is also called a "septimal subminor seventh" -- the word "septimal" referring to the presence of a 7 as the highest prime in the ratio, and the word "subminor" referring to the harmonic seventh's narrowness compared with a traditional minor seventh (such as [[9_5|9:5]] or [[16_9|16:9]], [[12edo]]'s 1000-cent interval, or a minor seventh found in a meantone system).

<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">Frequency ratio **7:4**, measuring approximately 968.8259064691249 [[Cent|cents]], has been given the name **"harmonic seventh."** It represents the interval between the 4th and 7th harmonics in the [[OverToneSeries|overtone series]]. It is also called a "septimal subminor seventh" -- the word "septimal" referring to the presence of a 7 as the highest [[prime]] in the ratio, and the word "subminor" referring to the harmonic seventh's narrowness compared with a traditional minor seventh (such as [[9_5|9:5]] or [[16_9|16:9]], [[12edo]]'s 1000-cent interval, or a minor seventh found in a meantone system).

7:4 has seen use in blues music, barbershop quartet music, and some musical traditions of the world, but has mostly not been recognized as a "consonance" in Western music theory. In most Just Intonation systems, the harmonic seventh is treated as a fundamental consonance in its own right, with its own distinct quality.

7:4 has seen use in blues music, barbershop quartet music, and some musical traditions of the world, but has mostly not been recognized as a "[[consonance]]" in Western music theory. In most [[Just Intonation]] systems, the harmonic seventh is treated as a fundamental consonance in its own right, with its own distinct quality.

=Harmonic Seventh Chord=

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[[http://en.wikipedia.org/wiki/Harmonic_seventh]]</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"><html><head><title>7_4</title></head><body>Frequency ratio 7:4, measuring approximately 968.8259064691249 cents, has been given the name &quot;harmonic seventh.&quot; It represents the interval between the 4th and 7th harmonics in the <a class="wiki_link" href="/OverToneSeries">overtone series</a>. It is also called a &quot;septimal subminor seventh&quot; -- the word &quot;septimal&quot; referring to the presence of a 7 as the highest prime in the ratio, and the word &quot;subminor&quot; referring to the harmonic seventh's narrowness compared with a traditional minor seventh (such as <a class="wiki_link" href="/9_5">9:5</a> or <a class="wiki_link" href="/16_9">16:9</a>, <a class="wiki_link" href="/12edo">12edo</a>'s 1000-cent interval, or a minor seventh found in a meantone system).<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>7_4</title></head><body>Frequency ratio <strong>7:4</strong>, measuring approximately 968.8259064691249 <a class="wiki_link" href="/Cent">cents</a>, has been given the name <strong>&quot;harmonic seventh.&quot;</strong> It represents the interval between the 4th and 7th harmonics in the <a class="wiki_link" href="/OverToneSeries">overtone series</a>. It is also called a &quot;septimal subminor seventh&quot; -- the word &quot;septimal&quot; referring to the presence of a 7 as the highest <a class="wiki_link" href="/prime">prime</a> in the ratio, and the word &quot;subminor&quot; referring to the harmonic seventh's narrowness compared with a traditional minor seventh (such as <a class="wiki_link" href="/9_5">9:5</a> or <a class="wiki_link" href="/16_9">16:9</a>, <a class="wiki_link" href="/12edo">12edo</a>'s 1000-cent interval, or a minor seventh found in a meantone system).<br />

<br />

7:4 has seen use in blues music, barbershop quartet music, and some musical traditions of the world, but has mostly not been recognized as a &quot;consonance&quot; in Western music theory. In most Just Intonation systems, the harmonic seventh is treated as a fundamental consonance in its own right, with its own distinct quality.<br />

7:4 has seen use in blues music, barbershop quartet music, and some musical traditions of the world, but has mostly not been recognized as a &quot;<a class="wiki_link" href="/consonance">consonance</a>&quot; in Western music theory. In most <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a> systems, the harmonic seventh is treated as a fundamental consonance in its own right, with its own distinct quality.<br />

<br />

<h1 id="toc0"><a name="Harmonic Seventh Chord"></a>Harmonic Seventh Chord</h1>

@@ 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:genewardsmith|genewardsmith]] and made on <tt>2011-08-08 14:44:46 UTC</tt>.<br>
+: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2013-05-22 16:46:23 UTC</tt>.<br>
-: The original revision id was <tt>244881117</tt>.<br>
+: The original revision id was <tt>433607490</tt>.<br>
-: The revision comment was: <tt></tt><br>
+: The revision comment was: <tt>typography and links added</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">Frequency ratio 7:4, measuring approximately 968.8259064691249 cents, has been given the name "harmonic seventh." It represents the interval between the 4th and 7th harmonics in the [[OverToneSeries|overtone series]]. It is also called a "septimal subminor seventh" -- the word "septimal" referring to the presence of a 7 as the highest prime in the ratio, and the word "subminor" referring to the harmonic seventh's narrowness compared with a traditional minor seventh (such as [[9_5|9:5]] or [[16_9|16:9]], [[12edo]]'s 1000-cent interval, or a minor seventh found in a meantone system).
+<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">Frequency ratio **7:4**, measuring approximately 968.8259064691249 [[Cent|cents]], has been given the name **"harmonic seventh."** It represents the interval between the 4th and 7th harmonics in the [[OverToneSeries|overtone series]]. It is also called a "septimal subminor seventh" -- the word "septimal" referring to the presence of a 7 as the highest [[prime]] in the ratio, and the word "subminor" referring to the harmonic seventh's narrowness compared with a traditional minor seventh (such as [[9_5|9:5]] or [[16_9|16:9]], [[12edo]]'s 1000-cent interval, or a minor seventh found in a meantone system).
-:4 has seen use in blues music, barbershop quartet music, and some musical traditions of the world, but has mostly not been recognized as a "consonance" in Western music theory. In most Just Intonation systems, the harmonic seventh is treated as a fundamental consonance in its own right, with its own distinct quality.
+:4 has seen use in blues music, barbershop quartet music, and some musical traditions of the world, but has mostly not been recognized as a "[[consonance]]" in Western music theory. In most [[Just Intonation]] systems, the harmonic seventh is treated as a fundamental consonance in its own right, with its own distinct quality.
 =Harmonic Seventh Chord=
@@ Line 57: / Line 57: @@
 [[http://en.wikipedia.org/wiki/Harmonic_seventh]]</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;7_4&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Frequency ratio 7:4, measuring approximately 968.8259064691249 cents, has been given the name &amp;quot;harmonic seventh.&amp;quot; It represents the interval between the 4th and 7th harmonics in the &lt;a class="wiki_link" href="/OverToneSeries"&gt;overtone series&lt;/a&gt;. It is also called a &amp;quot;septimal subminor seventh&amp;quot; -- the word &amp;quot;septimal&amp;quot; referring to the presence of a 7 as the highest prime in the ratio, and the word &amp;quot;subminor&amp;quot; referring to the harmonic seventh's narrowness compared with a traditional minor seventh (such as &lt;a class="wiki_link" href="/9_5"&gt;9:5&lt;/a&gt; or &lt;a class="wiki_link" href="/16_9"&gt;16:9&lt;/a&gt;, &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt;'s 1000-cent interval, or a minor seventh found in a meantone system).&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;7_4&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Frequency ratio &lt;strong&gt;7:4&lt;/strong&gt;, measuring approximately 968.8259064691249 &lt;a class="wiki_link" href="/Cent"&gt;cents&lt;/a&gt;, has been given the name &lt;strong&gt;&amp;quot;harmonic seventh.&amp;quot;&lt;/strong&gt; It represents the interval between the 4th and 7th harmonics in the &lt;a class="wiki_link" href="/OverToneSeries"&gt;overtone series&lt;/a&gt;. It is also called a &amp;quot;septimal subminor seventh&amp;quot; -- the word &amp;quot;septimal&amp;quot; referring to the presence of a 7 as the highest &lt;a class="wiki_link" href="/prime"&gt;prime&lt;/a&gt; in the ratio, and the word &amp;quot;subminor&amp;quot; referring to the harmonic seventh's narrowness compared with a traditional minor seventh (such as &lt;a class="wiki_link" href="/9_5"&gt;9:5&lt;/a&gt; or &lt;a class="wiki_link" href="/16_9"&gt;16:9&lt;/a&gt;, &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt;'s 1000-cent interval, or a minor seventh found in a meantone system).&lt;br /&gt;
 &lt;br /&gt;
-:4 has seen use in blues music, barbershop quartet music, and some musical traditions of the world, but has mostly not been recognized as a &amp;quot;consonance&amp;quot; in Western music theory. In most Just Intonation systems, the harmonic seventh is treated as a fundamental consonance in its own right, with its own distinct quality.&lt;br /&gt;
+:4 has seen use in blues music, barbershop quartet music, and some musical traditions of the world, but has mostly not been recognized as a &amp;quot;&lt;a class="wiki_link" href="/consonance"&gt;consonance&lt;/a&gt;&amp;quot; in Western music theory. In most &lt;a class="wiki_link" href="/Just%20Intonation"&gt;Just Intonation&lt;/a&gt; systems, the harmonic seventh is treated as a fundamental consonance in its own right, with its own distinct quality.&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Harmonic Seventh Chord"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Harmonic Seventh Chord&lt;/h1&gt;