3afdo

From Xenharmonic Wiki
Jump to navigation Jump to search
← 2afdo3afdo4afdo →
Prime factorization 3 (prime)
Dual sharp fifth 5/3 (884.358c)
Dual flat fifth 4/3 (498.044c)

3afdo (arithmetic frequency division of the octave), or 3odo (otonal division of the octave), if the attempt is made to use it as an actual tuning system, would divide the octave into three arithmetically equal parts. It is a superset of 2afdo and a subset of 4afdo. As a scale it may also be known as mode 3 of the harmonic series or the Over-3 scale. The notes of this AFDO form a 3:4:5 triad (first rotation of the just major triad) on root position.

Intervals

# Cents Ratio Decimal Interval name Audio
0 0.0 1/1 1.0000 perfect unison
1 498.0 4/3 1.3333 just perfect fourth
2 884.4 5/3 1.6667 just major sixth
3 1200.0 2/1 2.0000 perfect octave