"Juxtaposed coherent aggregates vibrating in discord are mutually repelled." Keely, 1894

The two above laws of Attraction and Repulsion are at the heart of all vibratory and oscillatory motions. These two laws describe the basic polar states of all vibrations and oscillations. The combined actions of the two seemingly opposing states are always considered in every situation. If preponderance appears in one state over the other the overall polarity is of that preponderance. This bi-polar state has been sometimes described as the Bjerknes Effect.

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]