Sqrt(2/1)

√2/1, the semioctave, is an important radical interval of exactly 600 cents. It appears in hemipyth as one of the generators, alongside √(3/2).

Interval information

Expression	[math]\displaystyle{ \sqrt{2} }[/math]
Size in cents	600¢
Names	semioctave, (hemipythagorean) tritone, perfect four-and-a-halfth
Special properties	reduced

In temperaments

Many temperaments equate a just interval (or more accurately, a pair of just intervals) to the semioctave. The semioctave appears in every even equal temperament.

See also

• 2edo