13/12
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author Andrew_Heathwaite and made on 2011-09-16 19:10:42 UTC.
- The original revision id was 254920096.
- 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:
In [[13-limit]] [[Just Intonation]], 13/12 is a neutral second of about 138.6¢. It is also 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\17edo (ten degrees of 17edo) is taken to approximate 3/2 and 12\17edo 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>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 also 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 /> <br /> 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\17edo (ten degrees of 17edo) is taken to approximate 3/2 and 12\17edo 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 /> <br /> See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html>