/diy/ - Do It Yourself

I'm in the beginning phases of building an analog synthesizer from scratch (you know, because I like torturing myself, don't you?)
I need a CV keyboard to control the oscillators (the things that play the notes)
CV usually uses a standard of 1volt:1octave, so each note will have a fixed distance from another in relation to their voltages, exactly 1/12th of a volt apart.

my question is whether this (honestly crudely drawn) keyboard would work, with some expansion.

the general idea is that the top rail acts as a voltage divider between, say, 6 volts and ground
the resistor on the far left (likely some resistors and a potentiometer for tuning) would have a high enough value that the lowest voltage you could get from the leftmost switch is 4 volts, and each switch would increase that voltage by 1/12th of a volt (for 24 keys), up to 6v on the far right

I understand this would mean that more than one key cannot be pressed at a time (it would only pass the higher voltage, right?), and that's fine as it can only generate one discrete waveform at a time.

I've rambled on enough, so my final question is just "will this (theoretically) work with fixed key resistors and a tunable ground resistor?" (and a fixed input voltage)

feel free to ask for clarification if needed, as it's midnight and I am on the verge of passing out, so it might be totally incoherent