Sqrt(3/2)

Interval information

Expression	[math]\displaystyle{ /sqrt{3/2} }[/math]
Size in cents	350.9775¢
Name	neutral third
Special properties	reduced

√(3/2), the neutral third, is a radical interval of about 351 cents. It appears in hemipyth as one of the generators, alongside √2/1. It is the unique interval with the property that when stacked twice, it leads to a perfect fifth 3/2, and as such it naturally lends itself to building "neutral triads" with an ambiguous sound between major and minor.

In temperaments

Many temperaments equate a just interval (or more accurately, a pair of just intervals) to the neutral third. Equal temperaments in which the fifth is mapped to an even number of steps (i.e. 24edo, 41edo) have an approximation to √(3/2).