15/13
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author Andrew_Heathwaite and made on 2011-10-07 19:31:43 UTC.
- The original revision id was 262738368.
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Original Wikitext content:
In [[13-limit]] [[Just Intonation]], 15/13 is an interval measuring about 247.7¢. In the language of [[Margo Schulter]], 15/13 is an instance of an [[interseptimal]] interval, as it falls in an ambiguous zone between two septimal extremes -- namely the large minor second [[8_7|8/7]] and the small minor third [[7_6|7/6]]. (15/13)*([[13_10|13/10]])=[[3_2|3/2]], which implies that 15/13 and 13/10 make a 3/2 perfect fifth. Thus you can make a [[List of root-3rd-P5 triads in JI|root-3rd-P5]] triad that goes 26:30:39, with a 15/13 "inframinor third" up from the root. See: [[Gallery of Just Intervals]], [[The Archipelago]]
Original HTML content:
<html><head><title>15_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>, 15/13 is an interval measuring about 247.7¢. In the language of <a class="wiki_link" href="/Margo%20Schulter">Margo Schulter</a>, 15/13 is an instance of an <a class="wiki_link" href="/interseptimal">interseptimal</a> interval, as it falls in an ambiguous zone between two septimal extremes -- namely the large minor second <a class="wiki_link" href="/8_7">8/7</a> and the small minor third <a class="wiki_link" href="/7_6">7/6</a>. (15/13)*(<a class="wiki_link" href="/13_10">13/10</a>)=<a class="wiki_link" href="/3_2">3/2</a>, which implies that 15/13 and 13/10 make a 3/2 perfect fifth. Thus you can make a <a class="wiki_link" href="/List%20of%20root-3rd-P5%20triads%20in%20JI">root-3rd-P5</a> triad that goes 26:30:39, with a 15/13 "inframinor third" up from the root.<br /> <br /> See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a>, <a class="wiki_link" href="/The%20Archipelago">The Archipelago</a></body></html>