I agree, Thierry - Splitting the Mid-V rails is likely to improve matters , and may be a simpler way of implementing sufficient improvement so that a seperate active supply / Mid-V regulator is not required.. However, the Mid-V on the Theremax at present (as far as I can see from my almost unreadable schematic) consists of a 1k pull-up and a 1k pull-down.. This is quite a high Z, and lowering this Z down to (say) 47R (or even lower, say 10R) and having a bigger decoupling capacitor (say 1u) would probably obliterate any fluctuations in the Mid-V even if the 'parts' are not seperated.
My thoughts are that, if one is building / fitting a supply regulator anyway, one may as well incorperate an active Mid-V supply into the design.. One could (if one needed to) take this low-z mid-V via a pair of resistors to the respective (now disconnected) seperate parts, a 100R from the Mid-V amplifier output to one 'part' with a 470nF capacitor to ground, and a 100R from the Mid-V amplifier output to the other 'part' with a 470nF capacitor to ground, for example.
But, as I said in my last posting - There is no such thing as a universal PSU scheme.. There are a set of 'rules' which are rarely followed (and from my limited exposure to the Theremax seem to have been completely violated) but which should have been carefully designed in.
I am sure you have a lot more expierience with the Theremax (I have only briefly examined the schematic, have never seen one 'in the flesh', and it is one of the few theremins whose circuitry I have not bothered to build or even simulate) So I believe people would be wiser to heed your advice than listen to mine.
I merely posted my circuit because I had it - I DO NOT vouch that this circuit is the best, or even a suitable solution to the Theremax 'problems' ... I can not even say with certainty that I know what the 'problems' are! LOL!
;-)
Fred.