13/12
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author spt3125 and made on 2014-06-07 22:41:24 UTC.
- The original revision id was 513213932.
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Original Wikitext content:
**13/12** |-2 -1 0 0 0 1> 138.57266 cents [[media type="file" key="jid_13_12_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_13_12_pluck_adu_dr220.mp3|sound sample]] In [[13-limit]] [[Just Intonation]], 13/12 is a neutral second of about 138.6¢. It is a [[superparticular]] interval, as it is found in the harmonic series between the 13th and the 12th overtone (between [[13_8|13/8]] and [[3_2|3/2]] in the octave). It is flat of the [[11-limit]] lesser neutral second of [[12_11|12/11]] by [[144_143|144/143]] (about 12.1¢), and sharp of the 13-limit large semitone of [[14_13|14/13]] by [[169_168|169/168]] (about 10.3¢). The neutral second in [[17edo]] is about 141.2¢, about 2.6¢ sharp of 13/12. Thus, if 10\17 (ten degrees of 17edo) is taken to approximate 3/2 and 12\17 taken to approximate 13/8, you can generate a 13-limit harmonic triad that approximates an 8:12:13 chord with a good 13/12. See: [[Gallery of Just Intervals]]
Original HTML content:
<html><head><title>13_12</title></head><body><strong>13/12</strong><br />
|-2 -1 0 0 0 1><br />
138.57266 cents<br />
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In <a class="wiki_link" href="/13-limit">13-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 13/12 is a neutral second of about 138.6¢. It is a <a class="wiki_link" href="/superparticular">superparticular</a> interval, as it is found in the harmonic series between the 13th and the 12th overtone (between <a class="wiki_link" href="/13_8">13/8</a> and <a class="wiki_link" href="/3_2">3/2</a> in the octave). It is flat of the <a class="wiki_link" href="/11-limit">11-limit</a> lesser neutral second of <a class="wiki_link" href="/12_11">12/11</a> by <a class="wiki_link" href="/144_143">144/143</a> (about 12.1¢), and sharp of the 13-limit large semitone of <a class="wiki_link" href="/14_13">14/13</a> by <a class="wiki_link" href="/169_168">169/168</a> (about 10.3¢).<br />
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The neutral second in <a class="wiki_link" href="/17edo">17edo</a> is about 141.2¢, about 2.6¢ sharp of 13/12. Thus, if 10\17 (ten degrees of 17edo) is taken to approximate 3/2 and 12\17 taken to approximate 13/8, you can generate a 13-limit harmonic triad that approximates an 8:12:13 chord with a good 13/12.<br />
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See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html>