5/4
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author k9assassin and made on 2015-03-24 18:52:22 UTC.
- The original revision id was 545205260.
- 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:
[[image:5 4 glyph.png width="113" height="123" caption="JI Glyph for 5/4"]] **5/4** |-2 0 1> 386.31371 cents [[media type="file" key="jid_5_4_pluck_adu_dr220.mp3" width="240" height="20"]] [[file:xenharmonic/jid_5_4_pluck_adu_dr220.mp3|sound sample]] 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" width="240" height="20"]] [[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><!-- ws:start:WikiTextLocalImageRule:4:<img src="/file/view/5%204%20glyph.png/545205212/113x123/5%204%20glyph.png" alt="JI Glyph for 5/4" title="JI Glyph for 5/4" style="height: 123px; width: 113px;" /> --><table class="captionBox"><tr><td class="captionedImage"><img src="/file/view/5%204%20glyph.png/545205212/113x123/5%204%20glyph.png" alt="5 4 glyph.png" title="5 4 glyph.png" style="height: 123px; width: 113px;" /></td></tr><tr><td class="imageCaption">JI Glyph for 5/4</td></tr></table><!-- ws:end:WikiTextLocalImageRule:4 --><br />
<br />
<strong>5/4</strong><br />
|-2 0 1><br />
386.31371 cents<br />
<!-- ws:start:WikiTextMediaRule:0:<img src="http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_5_4_pluck_adu_dr220.mp3?h=20&w=240" class="WikiMedia WikiMediaFile" id="wikitext@@media@@type=&quot;file&quot; key=&quot;jid_5_4_pluck_adu_dr220.mp3&quot; width=&quot;240&quot; height=&quot;20&quot;" title="Local Media File"height="20" width="240"/> --><embed src="/s/mediaplayer.swf" pluginspage="http://www.macromedia.com/go/getflashplayer" type="application/x-shockwave-flash" quality="high" width="240" height="20" wmode="transparent" flashvars="file=http%253A%252F%252Fxenharmonic.wikispaces.com%252Ffile%252Fview%252Fjid_5_4_pluck_adu_dr220.mp3?file_extension=mp3&autostart=false&repeat=false&showdigits=true&showfsbutton=false&width=240&height=20"></embed><!-- ws:end:WikiTextMediaRule:0 --> <a href="http://xenharmonic.wikispaces.com/file/view/jid_5_4_pluck_adu_dr220.mp3/513182478/jid_5_4_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_5_4_pluck_adu_dr220.mp3/513182478/jid_5_4_pluck_adu_dr220.mp3');">sound sample</a><br />
<br />
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 />
<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 <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 />
<!-- ws:start:WikiTextMediaRule:1:<img src="http://www.wikispaces.com/site/embedthumbnail/file-audio/5-4.mp3?h=20&w=240" class="WikiMedia WikiMediaFile" id="wikitext@@media@@type=&quot;file&quot; key=&quot;5-4.mp3&quot; width=&quot;240&quot; height=&quot;20&quot;" title="Local Media File"height="20" width="240"/> --><embed src="/s/mediaplayer.swf" pluginspage="http://www.macromedia.com/go/getflashplayer" type="application/x-shockwave-flash" quality="high" width="240" height="20" wmode="transparent" flashvars="file=http%253A%252F%252Fxenharmonic.wikispaces.com%252Ffile%252Fview%252F5-4.mp3?file_extension=mp3&autostart=false&repeat=false&showdigits=true&showfsbutton=false&width=240&height=20"></embed><!-- ws:end:WikiTextMediaRule:1 --><br />
<!-- ws:start:WikiTextFileRule:6:<img src="http://www.wikispaces.com/site/embedthumbnail/file/5-4.mp3?h=52&w=320" class="WikiFile" id="wikitext@@file@@5-4.mp3" title="File: 5-4.mp3" width="320" height="52" /> --><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://c1.wikicdn.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:6 --><br />
<br />
5/4 converted to cents (¢): 1200 * log (5/4) / log (2) = 386.314...<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 />
<br />
<!-- 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 />
<br />
See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html>