Clara Rockmore once commented that much of her success with the theremin had to do with the fact that she had "..the luck to be born the sister of the great Nadia Reisenberg...... musically we were one heart, one soul and one set of ears!"
When you listen to Clara's recordings, you can hear how she and her sister Nadia "felt" the music in the same way. Your accompaniment is one half of your performance, but few precision thereminists have the luxury of being able to collaborate with an accompanist. Still fewer are able to provide their own accompaniment because they cannot play an appropriate instrument.
I have often pointed out that IMNSHO what most thereminists need are not theremin lessons. They need MUSIC lessons. Clara said repeatedly that the theremin should never be anyone's first instrument "because you can't learn music on it". She went on to say that "...thereminists should begin by studying the piano, as violinists do".
These days, I believe thereminists also require a rudimentary knowledge of sound engineering and recording. You don't have to be Quincy Jones but if you want to present yourself publicly, you need to know how to go about it. Sticking a cellphone cam in the corner and trying to play THE SWAN over the sound of a garbage truck coming through the open window next to you, just ain't gonna cut it!
Yes, all this requires a considerable investment of both TIME and MONEY. Just be thankful that you are not a harpist or violinist. Professional concert harps start at around $20,000.00 and the finest violins.....well....you KNOW what they can cost!