IMHO: A theremin will work on batteries upstairs in a wooden house not using any sort of ground. This keeps the Pitch Field compressed as the Electro-Magnetic radiation RF must work harder to escape. A wrist strap may be all you need for some theremins.
A Hand Capacitance feedback loop is not the only effect that controls the Analog Pitch Field, with a tuned Pitch Antenna Xc shifting must be considered for what causes the better linearity.
Lack of earth ground also creates unwanted distortion in the natural Analog Theremin sound. RF is weird like in the “plasma gas globe” it crawls everywhere for lack of a better word looking for any conductive object in the room for escape. The electrical wiring in the walls is very inviting.
Important: This interaction with the electrical wiring within the Pitch Field reach is how 50/60 Hz flutter gets into the sound. The theremin approach senses changes of over 1:100,000 on the low end. Like your hand modulates the Pitch Field in the outer field so does the electrical wiring. It is best to keep the greatest distance between the theremin, outside conductive objects and the rooms walls. 50/60 Hz interference is my study for the week. When using the natural analog voice more than just simple filtering must be taken into consideration for a clean natural sound.
Ideal linearity comes about when the Antenna/Electrode resonates at the Pitch Oscillator frequency. With an un-tuned theremin Pitch Rod, lack of linearity will hinder your efforts to learn and be almost musically unplayable. In other words it will most likely be a waste of time to learn any real skill from an un-tuned Pitch Antenna. This makes the EtherWave Standard an excellent choice.
Maximum Pitch Field reach of six ideal octaves with ideal linearity is possible if the tuned RF energy on the Pitch Antenna/Electrode is maximum using the highest Pitch Oscillator RF frequency and earth ground, the Thereminist barefoot does make sense. This may seem like a capacitive loop but more is going on; it is the better conductive RF Pitch Field.
With ideal linearity the note positioning relative to one another remains the same no matter how wide a Pitch Field is stretched.
Keeping the above in mind six octaves at 4” or 10 cm spacing of Ideal Linearity can easily be played over a 24” or 61 cm Pitch Field, no octave switch or unnatural octave switching necessary.
All that I mention is my observations over time, others who feel threaten by change might challenge this post. Listen to the sound byte of any challenger or theremin designer to better know their understanding of how the theremin works.
This is my Analog Theremin Sound created by nature, I always say a theremin voice needing reverb is spiritually dead.
Christopher