Octave

Interval information

Ratio	2/1
Factorization	2
Monzo	[1⟩
Size in cents	1200¢
Name	octave
Special properties	superparticular, harmonic, prime harmonic, highly composite harmonic
Harmonic distance (log2 nd)	1
Wilson norm (sopfr(nd))	2
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The octave is the most consonant interval, with a ratio of 2/1 and a size of 1200 cents by definition. It is the most common interval of equivalence, as patterns of consonance often roughly repeat at octaves up or down. Additionally, most scales repeat at an octave or a logarithmic fraction thereof. The octave is also useful as a measure of logarithmic size of intervals.