Harmonics 6–12

Harmonics 6–12

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

The harmonic segment 6::12 (also harmonics 6–12) consists of harmonics 6 through 12 (6:7:8:9:10:11:12) and spans one octave above the root. Used as a scale, it is also called mode 6 of the harmonic series. In its root position, it is an effective system that contains several useful intervals such as 7/6, 4/3 and 3/2, although it lacks a major third.

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]}