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 [[3_2|3/2]]. 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.
In [[5-limit|5-limit]] [[Just_intonation|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 [[3/2|3/2]]. In [[12edo|12edo]] and [[Meantone|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]]</pre></div>
See: [[Gallery_of_Just_Intervals|Gallery of Just Intervals]]
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="/3_2">3/2</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 &quot;wolf&quot; interval, implying that it &quot;howls,&quot; 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 />
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See: <a class="wiki_link" href="/Gallery%20of%20Just%20Intervals">Gallery of Just Intervals</a></body></html></pre></div>
In 5-limitJust Intonation, 27/20 is an interval measuring about 519.6¢. It differs from the 4/3 perfect fourth by 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 perfect fifths, or as the interval between 10/9 and 3/2. 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 and 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.