27/20
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author genewardsmith and made on 2012-02-12 13:20:12 UTC.
- The original revision id was 300949748.
- 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]], 27/20 is an interval measuring about 519.6¢. It differs from the [[4_3|4/3]] perfect fourth by [[81_80|81/80]] (about 21.5¢), the syntonic comma. It arises naturally in JI as (for instance) the difference between a 5-limit major third and a stack of five [[3_2|3/2]] perfect fifths, or as the interval between [[10_9|10/9]] and [[4_3|4/3]]. In [[12edo]] and [[meantone]] systems, this interval would be no different from 4/3, as the syntonic comma is tempered out. 27/20 has been described as a "wolf" interval, implying that it "howls," as compared to simpler intervals within the 5-limit such as [[5_4|5/4]] and [[9_8|9/8]]. Although in a 5-limit context it is traditionally avoided, it can be an essential interval in a harmonic context of higher complexity, where it may be admired for its bright and active character and its distinctness from 4/3. See: [[Gallery of Just Intervals]]
Original HTML content:
<html><head><title>27_20</title></head><body>In <a class="wiki_link" href="/5-limit">5-limit</a> <a class="wiki_link" href="/Just%20Intonation">Just Intonation</a>, 27/20 is an interval measuring about 519.6¢. It differs from the <a class="wiki_link" href="/4_3">4/3</a> perfect fourth by <a class="wiki_link" href="/81_80">81/80</a> (about 21.5¢), the syntonic comma. It arises naturally in JI as (for instance) the difference between a 5-limit major third and a stack of five <a class="wiki_link" href="/3_2">3/2</a> perfect fifths, or as the interval between <a class="wiki_link" href="/10_9">10/9</a> and <a class="wiki_link" href="/4_3">4/3</a>. In <a class="wiki_link" href="/12edo">12edo</a> and <a class="wiki_link" href="/meantone">meantone</a> systems, this interval would be no different from 4/3, as the syntonic comma is tempered out. 27/20 has been described as a "wolf" interval, implying that it "howls," as compared to simpler intervals within the 5-limit such as <a class="wiki_link" href="/5_4">5/4</a> and <a class="wiki_link" href="/9_8">9/8</a>. Although in a 5-limit context it is traditionally avoided, it can be an essential interval in a harmonic context of higher complexity, where it may be admired for its bright and active character and its distinctness from 4/3.<br /> <br /> See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html>