3/2

Interval information

Ratio	3/2
Factorization	2-1 × 3
Monzo	[-1 1⟩
Size in cents	701.955¢
Name	just perfect fifth
FJS name	[math]\displaystyle{ \text{P5} }[/math]
Special properties	superparticular, reduced, reduced harmonic
Tenney height (log2 nd)	2.58496
Weil height (log2 max(n, d))	3.16993
Wilson height (sopfr(nd))	5
[sound info]
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3/2 is the frequency ratio of the just perfect fifth. What tunes it well, is one of variants of 12edo or 17edo (such as 24edo, 34edo and 36edo). Other edos tune it well too (5, 7, 29, 41, 53, 200). But not all edos are like this. 35edo is great for 2, 5, 7, 9, 11 and 17 but fails on 3.

See also

• Gallery of Just Intervals
• 4/3 the octave complement