"All hollow spheres of certain diameters are resonant to the enharmonic and diatonic thirds of any and all concordant sounds. Nature, working with her perfect form, the sphere, gives this effect, but not so with tubes. The shortest way to pure resonance between any number of resonating mediums is through use of the sphere."
"Only two vibratory conditions can be so associated as to excite sympathetic affinity between two physical organisms, the etheric chord of B flat, third octave and on etheric sympathetic transmission the chord of E flat, with third dominant, sixth enharmonic and ninth diatonic, with octave enharmonic."
"The chord of resonance of the sphere was the sympathetic etheric chord of E flat, 3rd octave, and is highly sensitive to concordance, against the neutral sevenths of the mass chord, whether that concordance be physical or mechanical or the two combined. When the chord of resonance is harmonized with the mass chord, the highest degree of susceptiveness is manifested to negative antagonism. Antagonistic chords actually move and accelerate the sphere, demonstrating the perfection of Nature's laws governing the sympathetic flow."
The dark hemisphere, which represents 50% of the full internal area of pure concordant harmony, receives the negative Thirds, Sixths and Ninths, the bombardment of which disturbs the equilibrium of the sphere and induces rotation. The speed of rotation is directly in proportion to, and controlled by, the relative volume of the negative antagonistic chords. Even with no wire transmission of vibrations, an ordinary mouth organ, which is constructed tuned to thirds, will cause the sphere to slowly rotate.
The sympathetic flow is directed to the center by the seven resonators and is redistributed during rotation to keep intact the sympathetic volume and thus prevents equation of forces, which would stop rotation. The discordant thirds are also concentrated by the dark hemisphere on the neutral center, and the interference at the neutral center of the concordants focalized by the white hemisphere and the tubes, and the discordants of the dark hemisphere, cause the inherent property of disturbance of equilibrium in the neutral center to assert itself, causing rotation. This is simply the effort put forth by the neutral center, controlled by the dominant principle, causing redistribution of the chord of resonance and avoidance of the interference nodes.
Under date of 5/20/1885 he writes of an experiment in which he attached a safety arrangement to his Liberator, and also his strongest resonator, and "within two minutes the shell (probably the musical sphere) attained a rotation of 1500 times per minute. I then retracted to the negative and brought it down to 150 revolutions per minute, when two of my safety shells and a vibratory indicator blew up, causing intermission."
Keely never claimed or considered this invention as a source of power. It was constructed simply to prove his theory regarding receptiveness of the neutral center, and through it he came into a fuller understanding of the cause of the earth's rotation, which he concluded arise from the conflict between the positive and negative sympathetic streams, or solar tensions against terrestrial condensations.