5/4: Difference between revisions
Wikispaces>genewardsmith **Imported revision 448027852 - Original comment: ** |
Wikispaces>spt3125 **Imported revision 513182682 - Original comment: ** |
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<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: | : This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-07 11:52:08 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>513182682</tt>.<br> | ||
: The revision comment was: <tt></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> | ||
<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"> | <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">**5/4** | ||
|-2 0 1> | |||
386.31371 cents | |||
[[media type="file" key="jid_5_4_pluck_adu_dr220.mp3"]] | |||
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]] | 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/home|udderbot]] (from the fundamental up to 5 and then noodling between 5 and 4). | |||
[[media type="file" key="5-4.mp3"]] | |||
[[file:5-4.mp3]] | |||
5/4 converted to cents (¢): 1200 * log (5/4) / log (2) = 386.314... | 5/4 converted to cents (¢): 1200 * log (5/4) / log (2) = 386.314... | ||
5/4 the interval, like all //intervals//, refers to a //relation// between two pitches. It has been called the //just major third// to distinguish it from the other intervals in that neighborhood. | 5/4 the interval, like all //intervals//, refers to a //relation// between two pitches. It has been called the //just major third// to distinguish it from the other intervals in that neighborhood. | ||
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See: [[Gallery of Just Intervals]]</pre></div> | See: [[Gallery of Just Intervals]]</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"><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 /> | <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><strong>5/4</strong><br /> | ||
|-2 0 1&gt;<br /> | |||
386.31371 cents<br /> | |||
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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 /> | <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). <!-- ws:start:WikiTextFileRule: | 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 <a class="wiki_link" href="http://udderbot.wikispaces.com/home" target="_blank">udderbot</a> (from the fundamental up to 5 and then noodling between 5 and 4).<br /> | ||
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<!-- ws:start:WikiTextFileRule:4:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file/5-4.mp3?h=52&amp;w=320&quot; class=&quot;WikiFile&quot; id=&quot;wikitext@@file@@5-4.mp3&quot; title=&quot;File: 5-4.mp3&quot; width=&quot;320&quot; height=&quot;52&quot; /&gt; --><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><!-- ws:end:WikiTextFileRule:4 --><br /> | |||
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5/4 converted to cents (¢): 1200 * log (5/4) / log (2) = 386.314...<br /> | 5/4 converted to cents (¢): 1200 * log (5/4) / log (2) = 386.314...<br /> | ||
<br /> | <br /> | ||
5/4 the interval, like all <em>intervals</em>, refers to a <em>relation</em> between two pitches. It has been called the <em>just major third</em> to distinguish it from the other intervals in that neighborhood.<br /> | 5/4 the interval, like all <em>intervals</em>, refers to a <em>relation</em> between two pitches. It has been called the <em>just major third</em> to distinguish it from the other intervals in that neighborhood.<br /> | ||
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<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc0"><a name="x-5/4 quotes"></a><!-- ws:end:WikiTextHeadingRule:2 -->5/4 quotes</h2> | ||
got any?<br /> | got any?<br /> | ||
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See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html></pre></div> | See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html></pre></div> | ||