5/3
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author Andrew_Heathwaite and made on 2011-09-29 18:11:06 UTC.
- The original revision id was 259796806.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
In [[5-limit]] [[Just Intonation]], 5/3 is an slightly narrow major sixth of about 884.4¢. It represents the difference between the 5th and 3rd overtones of the [[OverToneSeries|Harmonic Series]], and appears in just chords such as 3:4:5 (a 2nd inversion major triad). Its inversion is [[6_5|6/5]], the 5-limit minor third. It differs from the Pythagorean major sixth of [[27_16|27/16] (about 905.9¢) by the syntonic comma of [[81_80|81/80]] (about 21.5¢). This means that in systems which temper out the syntonic comma, such as [[12edo]] and [[meantone]] systems, 5/3 and 27/16 are conflated. 5/3 has a more mellow sound than 27/16, owing to its relative smallness. See: [[Gallery of Just Intervals]]
Original HTML content:
<html><head><title>5_3</title></head><body>In <a class="wiki_link" href="/5-limit">5-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 5/3 is an slightly narrow major sixth of about 884.4¢. It represents the difference between the 5th and 3rd overtones of the <a class="wiki_link" href="/OverToneSeries">Harmonic Series</a>, and appears in just chords such as 3:4:5 (a 2nd inversion major triad). Its inversion is <a class="wiki_link" href="/6_5">6/5</a>, the 5-limit minor third. It differs from the Pythagorean major sixth of <a class="wiki_link" href="/27_16">27/16] (about 905.9¢) by the syntonic comma of [[81_80|81/80</a> (about 21.5¢). This means that in systems which temper out the syntonic comma, such as <a class="wiki_link" href="/12edo">12edo</a> and <a class="wiki_link" href="/meantone">meantone</a> systems, 5/3 and 27/16 are conflated.<br /> <br /> 5/3 has a more mellow sound than 27/16, owing to its relative smallness.<br /> <br /> See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html>