15/8
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author Andrew_Heathwaite and made on 2011-09-29 18:37:23 UTC.
- The original revision id was 259802992.
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Original Wikitext content:
In [[5-limit]] [[Just Intonation]], 15/8 is a slightly narrow major seventh of about 1088.3¢. It is also the 15th overtone, 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]]. Since 15 it is a [[3_2|3/2]] perfect fifth above 10, [[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. See: [[Gallery of Just Intervals]]
Original HTML content:
<html><head><title>15_8</title></head><body>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 slightly narrow major seventh of about 1088.3¢. It is also the 15th overtone, 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>. Since 15 it is a <a class="wiki_link" href="/3_2">3/2</a> perfect fifth above 10, <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.<br /> <br /> See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html>