13/10
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- This revision was by author Andrew_Heathwaite and made on 2011-10-07 19:22:18 UTC.
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Original Wikitext content:
In [[13-limit]] [[Just Intonation]], 13/10 is an [[interseptimal]] interval measuring about 454.2¢. It falls in an ambiguous zone between a wide major third such as [[9_7|9/7]] and a flat perfect fourth such as [[21_16|21/16]]. The descriptor "interseptimal" comes from [[Margo Schulter]], and indicates its position between those two septimal (7-based) extremes. 13/10 appears between the 10th and 13th overtones of the [[OverToneSeries|harmonic series]] and appears in such chords as 8:10:13, a quasi-augmented triad. 13/10 also appears in the relatively-simple 10:13:15 triad, which consists of an interseptimal ultramajor third (13/10) and an interseptimal inframinor third ([[15_13|15/13]]) which stack to make a [[3_2|3/2]] perfect fifth. It is well-approximated in [[24edo]], [[29edo]], [[37edo]], and of course, infinitely many other [[EDO]] systems. See: [[Gallery of Just Intervals]], [[List of root-3rd-P5 triads in JI]]
Original HTML content:
<html><head><title>13_10</title></head><body>In <a class="wiki_link" href="/13-limit">13-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 13/10 is an <a class="wiki_link" href="/interseptimal">interseptimal</a> interval measuring about 454.2¢. It falls in an ambiguous zone between a wide major third such as <a class="wiki_link" href="/9_7">9/7</a> and a flat perfect fourth such as <a class="wiki_link" href="/21_16">21/16</a>. The descriptor "interseptimal" comes from <a class="wiki_link" href="/Margo%20Schulter">Margo Schulter</a>, and indicates its position between those two septimal (7-based) extremes. 13/10 appears between the 10th and 13th overtones of the <a class="wiki_link" href="/OverToneSeries">harmonic series</a> and appears in such chords as 8:10:13, a quasi-augmented triad. 13/10 also appears in the relatively-simple 10:13:15 triad, which consists of an interseptimal ultramajor third (13/10) and an interseptimal inframinor third (<a class="wiki_link" href="/15_13">15/13</a>) which stack to make a <a class="wiki_link" href="/3_2">3/2</a> perfect fifth. It is well-approximated in <a class="wiki_link" href="/24edo">24edo</a>, <a class="wiki_link" href="/29edo">29edo</a>, <a class="wiki_link" href="/37edo">37edo</a>, and of course, infinitely many other <a class="wiki_link" href="/EDO">EDO</a> systems.<br /> <br /> See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a>, <a class="wiki_link" href="/List%20of%20root-3rd-P5%20triads%20in%20JI">List of root-3rd-P5 triads in JI</a></body></html>