15/8
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author spt3125 and made on 2014-06-08 15:45:34 UTC.
- The original revision id was 513256132.
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Original Wikitext content:
**15/8** |-3 1 1> 1088.2687 cents [[media type="file" key="jid_15_8_pluck_adu_dr220.mp3" width="240" height="20"]] [[file:xenharmonic/jid_15_8_pluck_adu_dr220.mp3|sound sample]] In [[5-limit]] [[Just Intonation]], 15/8 is a major seventh of about 1088.3¢. It is also the 15th overtone (octave-reduced), and appears as a complex consonance in chords such as 8:10:12:15, a just version of a major seventh chord. Since 15 is 3*5, it can be seen as a perfect fifth above a major third or vice versa, and this understanding is compatible with the 1100¢ interval of [[12edo]]. //<range type="comment" id="513214416_1">Since 15 is a perfect fifth above 10 (15/10 = [[3_2|3/2]]), [[List of root-3rd-P5 triads in JI|root-3rd-P5 triads]] can be formed with the 10th harmonic as root and 15th harmonic as perfect fifth. The simplest and most familiar example is the classic minor triad 10:12:15 -- a [[6_5|6/5]] with a [[5_4|5/4]] stacked on top of it. Another is the Barbados triad, 10:13:15 -- a [[13_10|13/10]] on bottom and a [[15_13|15/13]] on top. And a particularly uncommon but mentionable example is the [[23-limit]] inframinor triad 20:23:30.</range id="513214416_1">// See: [[Gallery of Just Intervals]]
Original HTML content:
<html><head><title>15_8</title></head><body><strong>15/8</strong><br />
|-3 1 1><br />
1088.2687 cents<br />
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In <a class="wiki_link" href="/5-limit">5-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 15/8 is a major seventh of about 1088.3¢. It is also the 15th overtone (octave-reduced), and appears as a complex consonance in chords such as 8:10:12:15, a just version of a major seventh chord. Since 15 is 3*5, it can be seen as a perfect fifth above a major third or vice versa, and this understanding is compatible with the 1100¢ interval of <a class="wiki_link" href="/12edo">12edo</a>.<br />
<br />
<em><a name="comment-513214416_1-open" class="range"></a>Since 15 is a perfect fifth above 10 (15/10 = <a class="wiki_link" href="/3_2">3/2</a>), <a class="wiki_link" href="/List%20of%20root-3rd-P5%20triads%20in%20JI">root-3rd-P5 triads</a> can be formed with the 10th harmonic as root and 15th harmonic as perfect fifth. The simplest and most familiar example is the classic minor triad 10:12:15 -- a <a class="wiki_link" href="/6_5">6/5</a> with a <a class="wiki_link" href="/5_4">5/4</a> stacked on top of it. Another is the Barbados triad, 10:13:15 -- a <a class="wiki_link" href="/13_10">13/10</a> on bottom and a <a class="wiki_link" href="/15_13">15/13</a> on top. And a particularly uncommon but mentionable example is the <a class="wiki_link" href="/23-limit">23-limit</a> inframinor triad 20:23:30.<a name="comment-513214416_1-close" class="range"></a></em> <br />
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See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html>