It has been known since the late 1800s that distant bodies or aggregates in periodic harmonic motion are mutually attracted to one another. Conversely, bodies in aperiodic or discordant motion are mutually repelled. Bjerknes demonstrated this phenomena (Bjerknes Effect) at the Paris Electrical Exhibition in 1881. Keely, a few years later in 1894, published his Laws describing this phenomena with the Laws of Attraction and Repulsion. Could it be true that all forms of attraction have their birth, root and cause in relative harmonies?

Attraction and Repulsion of Magnets
3:6:9 - This quote seems to clearly explain the significance of the ratio 3:6:9 - "The relative frequency of all sympathetic streams is in the ratio 3:6:9. Those whose relative frequencies are 3:9 are mutually attractive, while those having the relation of 6:9 are mutually repellant." [Keely, SYMPATHETIC STREAMS - Snell, LAWS OF MOLECULAR BEING, Sympathetic Stream, Modes of Vibration, Modes of Vibration - Annotated]

See Also

ATTRACTION PROPULSION ETC
Conjugate Variables
Law of Attraction
Law of Repulsion
Magnet