14/11
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author Andrew_Heathwaite and made on 2011-10-01 16:25:08 UTC.
- The original revision id was 260509872.
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Original Wikitext content:
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]]
Original HTML content:
<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 /> <br /> 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>