18/13
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author Andrew_Heathwaite and made on 2011-10-07 19:40:30 UTC.
- The original revision id was 262739538.
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Original Wikitext content:
In [[13-limit]] [[Just Intonation]], 18/13 is a low tritone measuring about 563.4¢. It represents the interval between the 13th and 18th overtones of the [[overtone scales|harmonic series]]. The low tritone in [[17edo]] approximates 18/13 quite well, while 17edo's approximations of [[13_8|13/8]] and [[9_8|9/8]] are both a little sharp. The inversion of 18/13 is 13/9, a high tritone measuring about 536.6¢; the interval between these two tridecimal (13-based) tritones is 169/162, approximately 73.2¢. Other just tritones include [[7_5|7/5]], [[10_7|10/7]], [[45_32|45/32]], [[64_45|64/45]], [[24_17|24/17]], [[17_12|17/12]], [[23_16|23/16]], [[32_23|32/23]], and, of course, infinitely many more intervals. See: [[Gallery of Just Intervals]]
Original HTML content:
<html><head><title>18_13</title></head><body>In <a class="wiki_link" href="/13-limit">13-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 18/13 is a low tritone measuring about 563.4¢. It represents the interval between the 13th and 18th overtones of the <a class="wiki_link" href="/overtone%20scales">harmonic series</a>. The low tritone in <a class="wiki_link" href="/17edo">17edo</a> approximates 18/13 quite well, while 17edo's approximations of <a class="wiki_link" href="/13_8">13/8</a> and <a class="wiki_link" href="/9_8">9/8</a> are both a little sharp. The inversion of 18/13 is 13/9, a high tritone measuring about 536.6¢; the interval between these two tridecimal (13-based) tritones is 169/162, approximately 73.2¢.<br /> <br /> Other just tritones include <a class="wiki_link" href="/7_5">7/5</a>, <a class="wiki_link" href="/10_7">10/7</a>, <a class="wiki_link" href="/45_32">45/32</a>, <a class="wiki_link" href="/64_45">64/45</a>, <a class="wiki_link" href="/24_17">24/17</a>, <a class="wiki_link" href="/17_12">17/12</a>, <a class="wiki_link" href="/23_16">23/16</a>, <a class="wiki_link" href="/32_23">32/23</a>, and, of course, infinitely many more intervals.<br /> <br /> See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html>