13/11
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author Andrew_Heathwaite and made on 2011-09-28 20:07:03 UTC.
- The original revision id was 259388380.
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Original Wikitext content:
In [[13-limit]] [[Just Intonation]], 13/11 is the tridecimal minor third, measuring about 289.2¢. It is the difference between the 11th and 13th harmonics. While the 11th harmonic ([[11_8|11/8]], about 551.3¢) and the 13th harmonic ([[13_8|13/8]], about 840.5¢) are both quite xenharmonic and demand new interval categories, 13/11 sounds like some kind of low minor third. It can even function as such in a relatively consonant 13-limit minor triad which goes 22:26:33, with a [[3_2|3/2]] perfect fifth between 33 and 22. Compare this to 22:26:32 (11:13:16), which has the much more dissonant [[16_11|16/11]] in place of 3/2. The latter triad sounds more like a very xenharmonic version of a diminished triad, and could not be confused with simpler diminished triads such as 5:6:7. See: [[Gallery of Just Intonation Intervals]]
Original HTML content:
<html><head><title>13_11</title></head><body>In <a class="wiki_link" href="/13-limit">13-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 13/11 is the tridecimal minor third, measuring about 289.2¢. It is the difference between the 11th and 13th harmonics. While the 11th harmonic (<a class="wiki_link" href="/11_8">11/8</a>, about 551.3¢) and the 13th harmonic (<a class="wiki_link" href="/13_8">13/8</a>, about 840.5¢) are both quite xenharmonic and demand new interval categories, 13/11 sounds like some kind of low minor third. It can even function as such in a relatively consonant 13-limit minor triad which goes 22:26:33, with a <a class="wiki_link" href="/3_2">3/2</a> perfect fifth between 33 and 22. Compare this to 22:26:32 (11:13:16), which has the much more dissonant <a class="wiki_link" href="/16_11">16/11</a> in place of 3/2. The latter triad sounds more like a very xenharmonic version of a diminished triad, and could not be confused with simpler diminished triads such as 5:6:7.<br /> <br /> See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intonation%20Intervals">Gallery of Just Intonation Intervals</a></body></html>