5/4
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**5/4** |-2 0 1> 386.31371 cents [[media type="file" key="jid_5_4_pluck_adu_dr220.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 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 quotes== got any? See: [[Gallery of Just Intervals]]
Original HTML content:
<html><head><title>5_4</title></head><body><strong>5/4</strong><br />
|-2 0 1><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 "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 <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 "major thirds," 81/64 having a more active and discordant quality, 5/4 sounding more "restful".<br />
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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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5/4 converted to cents (¢): 1200 * log (5/4) / log (2) = 386.314...<br />
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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:2:<h2> --><h2 id="toc0"><a name="x-5/4 quotes"></a><!-- ws:end:WikiTextHeadingRule:2 -->5/4 quotes</h2>
got any?<br />
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See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html>