Perfect fifth: Difference between revisions

ArrowHead294 (talk | contribs)
mNo edit summary
Jerdle (talk | contribs)
In just intonation: The perfect fourth is 4/3, 3/2 is the perfect fifth.
Tags: Mobile edit Mobile web edit Advanced mobile edit
Line 10: Line 10:


== In just intonation ==
== In just intonation ==
The only "perfect" fourth in JI is the '''Pythagorean perfect fifth''' of [[3/2]], about 702{{c}} in size, which corresponds to the mos-based interval category of the diatonic perfect fifth, and is the generator for Pythagorean tuning and the diatonic scale. However, various "out of tune" fifths exist, such as the '''Pythagorean wolf fifth [[262144/177147]]''', which is flat of 3/2 by one [[Pythagorean comma]], and is about 678{{c}} in size.
The only "perfect" fifth in JI is the '''Pythagorean perfect fifth''' of [[3/2]], about 702{{c}} in size, which corresponds to the mos-based interval category of the diatonic perfect fifth, and is the generator for Pythagorean tuning and the diatonic scale. However, various "out of tune" fifths exist, such as the '''Pythagorean wolf fifth [[262144/177147]]''', which is flat of 3/2 by one [[Pythagorean comma]], and is about 678{{c}} in size.


Other "out of tune" fifths in higher [[prime limit|limits]] include:
Other "out of tune" fifths in higher [[prime limit|limits]] include: