"Amey; You might go to here to see what you are suggesting, sort of. For the antenna design." - Dana
This theremin is interesting - There appear to be two horizontal pitch antennas, and I suspect it operates by detecting the differential capacitance between these antennas. This design would reduce the problem of interference from the volume hand (and because distance from pitch antennas to hand will not vary greatly - the pitch being determined by differential capacitance, it should have a lot more linear relationship, and be a lot more imune to changes in background capacitance).
Technical mumbo-jumbo:
The horrible vibrato (and general tone of the instrument) leads me to believe that voltage controlled topology is being used - as in, the pitch antennas / ciircuitry are producing a voltage which drives a VCO, and a seperate LFO is also modulating the VCO to produce the vibrato. This topology is well suited to deriving the difference between capacitance sensed on two antennas.
VIEWED SIDEWAYS
Quick diagram showing how I think this theremins antenna arrangement works: It can be seen that the vectors for 3 hand positions shown relate geometrically - in the mid antenna position, capacitance seen by both antennas is equal (distance D3 = D4), at the top position,the capacitance on the top antenna is greater due to D1 being shorter than D2, at the bottom position the capacitance seen by the bottom antenna will be greater because D5 is shorter than D6..
The relationship between capacitances seen by each antenna will vary in a consistant geometric way as the hand is moved on the Z axis. By converting each antennas capacitance to a voltage, and taking these voltages to a differential amplifier, an output voltage relating to hand position on the Z axis can be obtained.
The usual hand actions such as extending the fingers etc used for precision playing will not work with this antenna arrangement - forward - backward motion will have little effect as this design works on the Z axis only - other finger actions may be possible for precision playing, provided they act on the Z plane - for example, raising a thumb will add more capacitance to the top antenna.
I should just add that my diagram is extremely simplistic - The arm will significantly alter the capacitances seen by each antenna, acting, I believe, to further linearize the response. The body (and movement thereof) will have a far lesser effect on pitch than with normal theremins, assuming it is not 'tilted' on the Z plane - moving the top of the body towards the antennas would raise the pitch, leaning backwards (tilting the top half of the body away from the antennas) would lower the pitch - All assuming that my hypothesis about this theremins operation is correct.
Fred.