From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 3/1
Monzo [0 1
Size in cents 1901.95500
Name(s) tritave,
3rd harmonic,
perfect twelfth
Color name w12, wa 12th

[sound info]
open this interval in xen-calc

The tritave (interval ratio 3/1) is the interval between a fundamental tone and its 3rd harmonic. It is perhaps the most consonant interval after the octave. For this reason, it is used as an equave in some nonoctave systems, such as the Bohlen-Pierce scale.

The tritave is one octave above 3/2, the perfect fifth. Therefore, in a diatonic context, 3/1 is also called the perfect twelfth.


The term tritave was coined by John Pierce[1]. It was derived from the word octave by replacing the perceived prefix octo- (eight, for the eighth degree of the diatonic scale) by tri- (three, for 3/1). It should be noted, however, that the oct in octave is not a prefix, but part of the single-morpheme word derived from Latin octavus (eighth).

See also