Hello bichuelo, Welcome to TW!
The basic test for the above issue should be really simple -
You want to output CV from the in the range that matches the instrument - I would use the Minimooog Voyager or Slim Phatty on 10V as these should have the least possibility of any confusion.
With pitch correction OFF, I would tune the VCO / VCF on the synthesiser to give the same pitch as the theremini ... Not sure how one triggers the synth or controls the volume, (will discuss that in a minute) but the important test is to see that the VCO accurately tracks the theremini CV.
When this is verified, try changing the 'span' from the theremini (number of playable octaves) and check that the VCO still tracks the theremini.
If the above all works, you could (if you want, IMO its not important) check what happens when you turn pitch correction up.
Assuming VCO frequency does track theremini pitch (when pitch correction is off) regardless of span, then this proves it is usable to control synths...
Synths require at least two signals to drive them - they need a pitch control (CV and / or MIDI) and they need a trigger to activate envelope generators and/or a CV (or MIDI CC) to control the VCA.
I am not familiar with any new Moog synths - But If I had a choice of operational modes, I would drive the pitch control path (VCO / VCF Etc) from the theremini's CV output, and drive the VCA path from MIDI CC outputting high resolution volume data..
I understand that the theremini cannot output both pitch and volume CV's simultaneously, so I would try to get pitch data from the CV output and volume data from the MIDI output - If the synth can read this volume data and convert it to CV, then you have the two signals you need to drive an analogue synth in "theremin" mode.
About CV's .. General testing:
You really dont need a synthesiser to test the CV output on something like a keyboard, but with a theremin, where its damn near impossible to keep pitch stable, the CV would probably be changing so much that its impossible to take measurements.. Which is why using A VCO makes a lot more sense, as one can hear both the theremin(i) and the VCO and our hearing is far faster and better as a measuring instrument..
However, in general terms, 1V/Octave CV means that for every increase in pitch by one otave, the output voltage (or input voltage on VCO etc) must increase by one volt, and therefore that every increase of one semitone will increase the voltage by 1/12th volt (or 83.333mV)
"Please guide me through the tests"
1.) Turn theremini pitch correction off
2.) Set theremini pitch CV to 10V
3.) Optional - check with a DMM that the CV output gives approximately 1V change for every octave change in thereminis pitch
4.) Patch this CV somehow into the CV of a VCO on a synth that takes 10V CV input.
5.) Directly monitor the output of this VCO
6.) If needed, tune this VCO so that its pitch is the same as that from the theremini
7.) Play the theremini, check that the VCO pitch and theremini pitch track each other
8.) Change the 'span' of the theremini (number of octaves one can play) and check that the VCO and theremini pitches still track.
Good luck! ;-)
Fred.
SOME MORE NOTES ABOUT CV:
The real beauty of 1V/Octave CV' control is that its linear - this means that, if one has a voltage producing a pitch, and you add other voltages, you can shift the output pitch however you want... For example, if you have a sequence playing, and add 83.333mV, that sequence will shift up by one semitone..
With MIDI this allows one to drive a MIDI + Analogue synth from a sequencer, and add the CV from a theremin, and the sequence will move with the pitch coming from the theremin... It also means that if you have a MIDI analogue synth which is converting incoming data to CV's, you can inject CV's to any modules (if they are fitted with summing inputs on these modules) and add to, or bypass the MIDI data by using CV from the theremin.
Where the problem arises with pre-configured analogue synthesisers is that they mostly depend on trigger / gating signals to activate envelope generators which control dynamics.. Theremins need to have control over dynamics, so they really dont need envelope generators, they need direct access to dynamics modifiers (Like the Voltage Controlled Amplifier/s and VCF's.