Harmonics 6–12

6afdo (arithmetic frequency division of the octave), or 6odo (otonal division of the octave), divides the octave into six parts of 1/6 each. It is a superset of 5afdo and a subset of 7afdo. As a scale it may be known as mode 6 of the harmonic series or the Over-6 scale. (Budjarn Lambeth calls it the Freeway scale.^{[idiosyncratic term]}) In its root position, 6afdo is an effective system that contains several useful intervals such as 7/6, 4/3 and 3/2, although it lacks a major third.

← 5afdo

6afdo

7afdo →

Prime factorization	2 × 3
Fifth	9/6 (701.955c)

Intervals

#	Cents	Ratio	Decimal	Interval name	Audio
0	0	1/1	1.000	perfect unison
1	266.9	7/6	1.1667	subminor third
2	498.0	4/3	1.3333	just perfect fourth
3	702.0	3/2	1.5000	just perfect fifth
4	884.5	5/3	1.6667	just major sixth
5	1049.4	11/6	1.8333	undecimal neutral seventh
6	1200.0	2/1	2.0000	perfect octave

Scales

6:7:8:9:11:12 Geode^{[idiosyncratic term]}