3/1

The third harmonic or tritave is another name of the 3rd partial tone, the interval with the frequency ratio of 3/1, one octave above 3/2.

Interval information

Ratio	3/1
Factorization	3
Monzo	[0 1⟩
Size in cents	1901.955¢
Names	tritave, third harmonic, Perfect Twelfth
FJS name	[math]\displaystyle{ \text{P12} }[/math]
Special properties	harmonic, prime harmonic
Tenney norm (log2 nd)	1.58496
Weil norm (log2 max(n, d))	3.16993
Wilson norm (sopfr(nd))	3
[sound info]
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It is perhaps the most consonant interval larger than an octave. Used as an interval of equivalence in some nonoctave systems, such as Bohlen-Pierce, where it may be referred to as the tritave.

See also

• edt -- systems dividing the tritave equally, see.
• Bohlen-Pierce -- systems with the tritave as the just fundamental harmonic
• No-twos 31-limit -- non-octave 31-limit system containing neither 2 nor primes higher than 31
• 3/2 - the just perfect fifth as the octave reduced counterpart of the tritave
• Tritave complement -- the analogue for octave complement