5/4: 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:~~keenanpepper~~|~~keenanpepper~~]] and made on <tt>~~2011~~-12-~~08 03~~:14:52 UTC</tt>.<br>

: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2013-05-19 18:35:51 UTC</tt>.<br>

: The original revision id was <tt>~~283594398~~</tt>.<br>

: The original revision id was <tt>432738890</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 [[Just Intonation]], 5/4 is the frequency ratio between the 5th and 4th harmonics. Measuring about 386.3¢, it is about 13.7¢ away from [[12edo]]'s major third of 400¢. It has a distinctive "sweet" sound, and has been described as more "laid back" than its 12edo counterpart. Providing a novel consonance after 3, it is the basis for 5-limit harmony. It is distinguished from the Pythagorean major third of [[81_64|81/64]] by the syntonic comma of [[81_80|81/80]], which measures about 21.5¢. 81/64 and 5/4 are both just intonation "major thirds," 81/64 having a more active and discordant quality, 5/4 sounding more "restful".

<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 [[Just Intonation]], **5/4** is the frequency ratio between the 5th and 4th harmonics. Measuring about 386.3[[Cent|¢]], it is about 13.7¢ away from [[12edo]]'s major third of 400¢. It has a distinctive "sweet" sound, and has been described as more "laid back" than its 12edo counterpart. Providing a novel consonance after 3, it is the basis for [[5-limit]] harmony. It is distinguished from the [[Pythagorean]] major third of [[81_64|81/64]] by the syntonic comma of [[81_80|81/80]], which measures about 21.5¢. 81/64 and 5/4 are both just intonation "major thirds," 81/64 having a more active and discordant quality, 5/4 sounding more "restful".

In the context of the harmonic series, 5/4 can be heard between the 4th and 5th member of the series, demonstrated here melodically in singing into a resonant udderbot (from the fundamental up to 5 and then noodling between 5 and 4). [[file:5-4.mp3]] Hear it?

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See: [[Gallery of Just Intervals|Galley of Just Intervals]]</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>5_4</title></head><body>In <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 5/4 is the frequency ratio between the 5th and 4th harmonics. Measuring about 386.3¢, it is about 13.7¢ away from <a class="wiki_link" href="/12edo">12edo</a>'s major third of 400¢. It has a distinctive &quot;sweet&quot; sound, and has been described as more &quot;laid back&quot; than its 12edo counterpart. Providing a novel consonance after 3, it is the basis for 5-limit harmony. It is distinguished from the Pythagorean major third of <a class="wiki_link" href="/81_64">81/64</a> by the syntonic comma of <a class="wiki_link" href="/81_80">81/80</a>, which measures about 21.5¢. 81/64 and 5/4 are both just intonation &quot;major thirds,&quot; 81/64 having a more active and discordant quality, 5/4 sounding more &quot;restful&quot;.<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>5_4</title></head><body>In <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, <strong>5/4</strong> is the frequency ratio between the 5th and 4th harmonics. Measuring about 386.3<a class="wiki_link" href="/Cent">¢</a>, it is about 13.7¢ away from <a class="wiki_link" href="/12edo">12edo</a>'s major third of 400¢. It has a distinctive &quot;sweet&quot; sound, and has been described as more &quot;laid back&quot; than its 12edo counterpart. Providing a novel consonance after 3, it is the basis for <a class="wiki_link" href="/5-limit">5-limit</a> harmony. It is distinguished from the <a class="wiki_link" href="/Pythagorean">Pythagorean</a> major third of <a class="wiki_link" href="/81_64">81/64</a> by the syntonic comma of <a class="wiki_link" href="/81_80">81/80</a>, which measures about 21.5¢. 81/64 and 5/4 are both just intonation &quot;major thirds,&quot; 81/64 having a more active and discordant quality, 5/4 sounding more &quot;restful&quot;.<br />

<br />

In the context of the harmonic series, 5/4 can be heard between the 4th and 5th member of the series, demonstrated here melodically in singing into a resonant udderbot (from the fundamental up to 5 and then noodling between 5 and 4). <div class="objectEmbed"><a href="/file/view/5-4.mp3/30382423/5-4.mp3" onclick="ws.common.trackFileLink('/file/view/5-4.mp3/30382423/5-4.mp3');"><img src="http://www.wikispaces.com/i/mime/32/audio/mpeg.png" height="32" width="32" alt="5-4.mp3" /></a><div><a href="/file/view/5-4.mp3/30382423/5-4.mp3" onclick="ws.common.trackFileLink('/file/view/5-4.mp3/30382423/5-4.mp3');" class="filename" title="5-4.mp3">5-4.mp3</a><br /><ul><li><a href="/file/detail/5-4.mp3">Details</a></li><li><a href="/file/view/5-4.mp3/30382423/5-4.mp3">Download</a></li><li style="color: #666">402 KB</li></ul></div></div> Hear it?<br />

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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:keenanpepper|keenanpepper]] and made on <tt>2011-12-08 03:14:52 UTC</tt>.<br>
+: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2013-05-19 18:35:51 UTC</tt>.<br>
-: The original revision id was <tt>283594398</tt>.<br>
+: The original revision id was <tt>432738890</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 [[Just Intonation]], 5/4 is the frequency ratio between the 5th and 4th harmonics. Measuring about 386.3¢, it is about 13.7¢ away from [[12edo]]'s major third of 400¢. It has a distinctive "sweet" sound, and has been described as more "laid back" than its 12edo counterpart. Providing a novel consonance after 3, it is the basis for 5-limit harmony. It is distinguished from the Pythagorean major third of [[81_64|81/64]] by the syntonic comma of [[81_80|81/80]], which measures about 21.5¢. 81/64 and 5/4 are both just intonation "major thirds," 81/64 having a more active and discordant quality, 5/4 sounding more "restful".
+<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 [[Just Intonation]], **5/4** is the frequency ratio between the 5th and 4th harmonics. Measuring about 386.3[[Cent|¢]], it is about 13.7¢ away from [[12edo]]'s major third of 400¢. It has a distinctive "sweet" sound, and has been described as more "laid back" than its 12edo counterpart. Providing a novel consonance after 3, it is the basis for [[5-limit]] harmony. It is distinguished from the [[Pythagorean]] major third of [[81_64|81/64]] by the syntonic comma of [[81_80|81/80]], which measures about 21.5¢. 81/64 and 5/4 are both just intonation "major thirds," 81/64 having a more active and discordant quality, 5/4 sounding more "restful".
 In the context of the harmonic series, 5/4 can be heard between the 4th and 5th member of the series, demonstrated here melodically in singing into a resonant udderbot (from the fundamental up to 5 and then noodling between 5 and 4). [[file:5-4.mp3]] Hear it?
@@ Line 23: / Line 23: @@
 See: [[Gallery of Just Intervals|Galley of Just Intervals]]</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;5_4&lt;/title&gt;&lt;/head&gt;&lt;body&gt;In &lt;a class="wiki_link" href="/Just%20Intonation"&gt;Just Intonation&lt;/a&gt;, 5/4 is the frequency ratio between the 5th and 4th harmonics. Measuring about 386.3¢, it is about 13.7¢ away from &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt;'s major third of 400¢. It has a distinctive &amp;quot;sweet&amp;quot; sound, and has been described as more &amp;quot;laid back&amp;quot; than its 12edo counterpart. Providing a novel consonance after 3, it is the basis for 5-limit harmony. It is distinguished from the Pythagorean major third of &lt;a class="wiki_link" href="/81_64"&gt;81/64&lt;/a&gt; by the syntonic comma of &lt;a class="wiki_link" href="/81_80"&gt;81/80&lt;/a&gt;, which measures about 21.5¢. 81/64 and 5/4 are both just intonation &amp;quot;major thirds,&amp;quot; 81/64 having a more active and discordant quality, 5/4 sounding more &amp;quot;restful&amp;quot;.&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;5_4&lt;/title&gt;&lt;/head&gt;&lt;body&gt;In &lt;a class="wiki_link" href="/Just%20Intonation"&gt;Just Intonation&lt;/a&gt;, &lt;strong&gt;5/4&lt;/strong&gt; is the frequency ratio between the 5th and 4th harmonics. Measuring about 386.3&lt;a class="wiki_link" href="/Cent"&gt;¢&lt;/a&gt;, it is about 13.7¢ away from &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt;'s major third of 400¢. It has a distinctive &amp;quot;sweet&amp;quot; sound, and has been described as more &amp;quot;laid back&amp;quot; than its 12edo counterpart. Providing a novel consonance after 3, it is the basis for &lt;a class="wiki_link" href="/5-limit"&gt;5-limit&lt;/a&gt; harmony. It is distinguished from the &lt;a class="wiki_link" href="/Pythagorean"&gt;Pythagorean&lt;/a&gt; major third of &lt;a class="wiki_link" href="/81_64"&gt;81/64&lt;/a&gt; by the syntonic comma of &lt;a class="wiki_link" href="/81_80"&gt;81/80&lt;/a&gt;, which measures about 21.5¢. 81/64 and 5/4 are both just intonation &amp;quot;major thirds,&amp;quot; 81/64 having a more active and discordant quality, 5/4 sounding more &amp;quot;restful&amp;quot;.&lt;br /&gt;
 &lt;br /&gt;
 In the context of the harmonic series, 5/4 can be heard between the 4th and 5th member of the series, demonstrated here melodically in singing into a resonant udderbot (from the fundamental up to 5 and then noodling between 5 and 4). &lt;!-- ws:start:WikiTextFileRule:2:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file/5-4.mp3?h=52&amp;amp;w=320&amp;quot; class=&amp;quot;WikiFile&amp;quot; id=&amp;quot;wikitext@@file@@5-4.mp3&amp;quot; title=&amp;quot;File: 5-4.mp3&amp;quot; width=&amp;quot;320&amp;quot; height=&amp;quot;52&amp;quot; /&amp;gt; --&gt;&lt;div class="objectEmbed"&gt;&lt;a href="/file/view/5-4.mp3/30382423/5-4.mp3" onclick="ws.common.trackFileLink('/file/view/5-4.mp3/30382423/5-4.mp3');"&gt;&lt;img src="http://www.wikispaces.com/i/mime/32/audio/mpeg.png" height="32" width="32" alt="5-4.mp3" /&gt;&lt;/a&gt;&lt;div&gt;&lt;a href="/file/view/5-4.mp3/30382423/5-4.mp3" onclick="ws.common.trackFileLink('/file/view/5-4.mp3/30382423/5-4.mp3');" class="filename" title="5-4.mp3"&gt;5-4.mp3&lt;/a&gt;&lt;br /&gt;&lt;ul&gt;&lt;li&gt;&lt;a href="/file/detail/5-4.mp3"&gt;Details&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="/file/view/5-4.mp3/30382423/5-4.mp3"&gt;Download&lt;/a&gt;&lt;/li&gt;&lt;li style="color: #666"&gt;402 KB&lt;/li&gt;&lt;/ul&gt;&lt;/div&gt;&lt;/div&gt;&lt;!-- ws:end:WikiTextFileRule:2 --&gt; Hear it?&lt;br /&gt;