"The great difficulty in constructing a sphere that will revolve when vibrations are applied, is in equating its interior volume, which is altered on insertion of the shaft and accessories, with the chord of mass of the shell itself. The differentiation induced in the interior volume must be equated so as to harmonize with the sphere mass chord. Concordance is established between both through certain conditions of differentiation and in accordance with the laws of harmony."
"If the mass chord of the sphere is B flat, and the internal parts when introduced displace the internal volume 1/20th, this 1/20th represents an antagonistic 1/20th against the concordance of the sphere mass and the internal parts must be so graduated as to get at the same chord an octave or more nearest approaching the concordance of the internal volume. No intermediates between octaves would ever reach sympathetic union."
"For example, we have a spun shell of 12 inches internal diameter and 1.32 inches thick, having an internal volume of 904.77 cubic inches. The resonation of the internal volume is found to be B flat and the mass chord B natural. This, or any other antagonistic chord between the sphere mass chord and the volume resonance, will not interfere, as it will come under subservience."
"A steel shaft 1/2 inch in diameter is now passed through the center of the shell, displacing a portion of the volume. The volume resonance is now found to be altered so as to be antagonistic to the mass chord. To correct this condition the shaft must be turned or filed until the volume resonance reaches the next lower B flat chord. In so doing we neutralize the first line of interference and the parts are left in the same pure sympathy as at first."
"We now introduce a ring of 2/3 the diameter of the sphere, fastened by arms to the axis and attach seven adjustable tube resonators, each measuring 3 inches by 3/4 inches. Each tube is then set on the chord of B flat by adjusting its diaphragm. This arrangement compensates for the total displacement of the ring, tubes and arms, it not being necessary to alter the volume on account of this second operation. This completes the second equation of resonation and displacement."
"One end hemisphere is now painted black and the other white, and a rubber atomizer bulb placed over the end of the shaft next to the dark hemisphere, to prevent equation of vibrational energy by molecular bombardment when the antagonistic vibrations are transmitted."