14/11: Difference between revisions
Wikispaces>Andrew_Heathwaite **Imported revision 260509872 - Original comment: ** |
Wikispaces>spt3125 **Imported revision 513214040 - 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 22:43:54 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>513214040</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">In [[11-limit]] [[Just Intonation]], 14/11 is a supermajor third of about 417.5¢. It represents the difference between the 11th and 14th overtones of the [[OverToneSeries|harmonic series]] and appears in chords such as 8:11:14, the principal triad of [[Orgonia|Orgone]] temperament. 14/11 can also function as a [[Neo-Gothic]] major third, as it falls between [[5_4|5/4]] and [[9_7|9/7]]. Indeed, it is the [[mediant]] ratio between those simpler intervals, as it is (5+9)/(4+7). Other relatively simple thirds in this region can be generated by taking the mediant between 5/4 and 14/11 (which is (5+14)/(4+11) = [[19_15|19/15]], about 409.2¢) and between 14/11 and 9/7 (which is (14+9)/(11+7) = [[23_18|23/18]], about 424.4¢. Also in this region is the Pythagorean ([[3-limit]]) major third of [[81_64|81/64]] (about 407.8¢), which can be generated by stacking four [[3_2|3/2]] perfect fifths and [[octave-reduce|octave-reducing]]. | <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">**14/11** | ||
|1 0 0 1 -1> | |||
417.50796 cents | |||
[[media type="file" key="jid_14_11_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_14_11_pluck_adu_dr220.mp3|sound sample]] | |||
In [[11-limit]] [[Just Intonation]], 14/11 is a supermajor third of about 417.5¢. It represents the difference between the 11th and 14th overtones of the [[OverToneSeries|harmonic series]] and appears in chords such as 8:11:14, the principal triad of [[Orgonia|Orgone]] temperament. 14/11 can also function as a [[Neo-Gothic]] major third, as it falls between [[5_4|5/4]] and [[9_7|9/7]]. Indeed, it is the [[mediant]] ratio between those simpler intervals, as it is (5+9)/(4+7). Other relatively simple thirds in this region can be generated by taking the mediant between 5/4 and 14/11 (which is (5+14)/(4+11) = [[19_15|19/15]], about 409.2¢) and between 14/11 and 9/7 (which is (14+9)/(11+7) = [[23_18|23/18]], about 424.4¢. Also in this region is the Pythagorean ([[3-limit]]) major third of [[81_64|81/64]] (about 407.8¢), which can be generated by stacking four [[3_2|3/2]] perfect fifths and [[octave-reduce|octave-reducing]]. | |||
See: [[Gallery of Just Intervals|Gallery of Just Intonation Intervals]], [[gentle chords]], [[List of root-3rd-P5 triads in JI]], [[http://dkeenan.com/Music/NobleMediant.txt|The Noble Mediant]]</pre></div> | See: [[Gallery of Just Intervals|Gallery of Just Intonation Intervals]], [[gentle chords]], [[List of root-3rd-P5 triads in JI]], [[http://dkeenan.com/Music/NobleMediant.txt|The Noble Mediant]]</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>14_11</title></head><body>In <a class="wiki_link" href="/11-limit">11-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 14/11 is a supermajor third of about 417.5¢. It represents the difference between the 11th and 14th overtones of the <a class="wiki_link" href="/OverToneSeries">harmonic series</a> and appears in chords such as 8:11:14, the principal triad of <a class="wiki_link" href="/Orgonia">Orgone</a> temperament. 14/11 can also function as a <a class="wiki_link" href="/Neo-Gothic">Neo-Gothic</a> major third, as it falls between <a class="wiki_link" href="/5_4">5/4</a> and <a class="wiki_link" href="/9_7">9/7</a>. Indeed, it is the <a class="wiki_link" href="/mediant">mediant</a> ratio between those simpler intervals, as it is (5+9)/(4+7). Other relatively simple thirds in this region can be generated by taking the mediant between 5/4 and 14/11 (which is (5+14)/(4+11) = <a class="wiki_link" href="/19_15">19/15</a>, about 409.2¢) and between 14/11 and 9/7 (which is (14+9)/(11+7) = <a class="wiki_link" href="/23_18">23/18</a>, about 424.4¢. Also in this region is the Pythagorean (<a class="wiki_link" href="/3-limit">3-limit</a>) major third of <a class="wiki_link" href="/81_64">81/64</a> (about 407.8¢), which can be generated by stacking four <a class="wiki_link" href="/3_2">3/2</a> perfect fifths and <a class="wiki_link" href="/octave-reduce">octave-reducing</a>.<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>14_11</title></head><body><strong>14/11</strong><br /> | ||
|1 0 0 1 -1&gt;<br /> | |||
417.50796 cents<br /> | |||
<!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_14_11_pluck_adu_dr220.mp3?h=20&amp;w=240&quot; class=&quot;WikiMedia WikiMediaFile&quot; id=&quot;wikitext@@media@@type=&amp;quot;file&amp;quot; key=&amp;quot;jid_14_11_pluck_adu_dr220.mp3&amp;quot;&quot; title=&quot;Local Media File&quot;height=&quot;20&quot; width=&quot;240&quot;/&gt; --><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_14_11_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_14_11_pluck_adu_dr220.mp3/513214006/jid_14_11_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_14_11_pluck_adu_dr220.mp3/513214006/jid_14_11_pluck_adu_dr220.mp3');">sound sample</a><br /> | |||
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In <a class="wiki_link" href="/11-limit">11-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 14/11 is a supermajor third of about 417.5¢. It represents the difference between the 11th and 14th overtones of the <a class="wiki_link" href="/OverToneSeries">harmonic series</a> and appears in chords such as 8:11:14, the principal triad of <a class="wiki_link" href="/Orgonia">Orgone</a> temperament. 14/11 can also function as a <a class="wiki_link" href="/Neo-Gothic">Neo-Gothic</a> major third, as it falls between <a class="wiki_link" href="/5_4">5/4</a> and <a class="wiki_link" href="/9_7">9/7</a>. Indeed, it is the <a class="wiki_link" href="/mediant">mediant</a> ratio between those simpler intervals, as it is (5+9)/(4+7). Other relatively simple thirds in this region can be generated by taking the mediant between 5/4 and 14/11 (which is (5+14)/(4+11) = <a class="wiki_link" href="/19_15">19/15</a>, about 409.2¢) and between 14/11 and 9/7 (which is (14+9)/(11+7) = <a class="wiki_link" href="/23_18">23/18</a>, about 424.4¢. Also in this region is the Pythagorean (<a class="wiki_link" href="/3-limit">3-limit</a>) major third of <a class="wiki_link" href="/81_64">81/64</a> (about 407.8¢), which can be generated by stacking four <a class="wiki_link" href="/3_2">3/2</a> perfect fifths and <a class="wiki_link" href="/octave-reduce">octave-reducing</a>.<br /> | |||
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See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intonation Intervals</a>, <a class="wiki_link" href="/gentle%20chords">gentle chords</a>, <a class="wiki_link" href="/List%20of%20root-3rd-P5%20triads%20in%20JI">List of root-3rd-P5 triads in JI</a>, <a class="wiki_link_ext" href="http://dkeenan.com/Music/NobleMediant.txt" rel="nofollow">The Noble Mediant</a></body></html></pre></div> | See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intonation Intervals</a>, <a class="wiki_link" href="/gentle%20chords">gentle chords</a>, <a class="wiki_link" href="/List%20of%20root-3rd-P5%20triads%20in%20JI">List of root-3rd-P5 triads in JI</a>, <a class="wiki_link_ext" href="http://dkeenan.com/Music/NobleMediant.txt" rel="nofollow">The Noble Mediant</a></body></html></pre></div> | ||