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.
In [[13-limit|13-limit]] [[Just_intonation|Just Intonation]], 13/10 is an [[Interseptimal|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|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|24edo]], [[29edo|29edo]], [[37edo|37edo]], and of course, infinitely many other [[EDO|EDO]] systems.
See: [[Gallery of Just Intervals]], [[List of root-3rd-P5 triads in JI]]</pre></div>
See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]], [[List_of_root-3rd-P5_triads_in_JI|List of root-3rd-P5 triads in JI]] [[Category:13-limit]]
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 &quot;interseptimal&quot; 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 />
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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></pre></div>
In 13-limitJust 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 and a flat perfect fourth such as 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 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) which stack to make a 3/2 perfect fifth. It is well-approximated in 24edo, 29edo, 37edo, and of course, infinitely many other EDO systems.