I don't see why you couldn't have 6V6/EL84, 6V6/6L6, 6V6/EL34, 6L6/EL34, etc.
I'm actually asking that. One motivation could be the expectation for new type of sound?
/Leevi
Exactly. I'm saying I don't see any technical reason you shouldn't use dissimilar tubes into a single OT.
You'll want to give each tube its own cathode resistor, if you cathode bias. That's just because different type may idle better with different cathode resistor values (especially true with EL34 vs 6L6, or EL84 vs 6V6).
The basic idea is to use a common cathode resistor since it should be possible to place the tubes randomly to the sockets.
I'm thinking EL84 vs 6V6 would provide two unique sounds. However, the EL84 has much higher transconductance, and needs a smaller cathode resistor to bias properly. This is not so bad, because you need two different-type sockets anyway, so matching the cathode resistor to the socket works well.
Similar argument applies to EL34 and 6L6, though you
could use a single resistor common to both sockets. If you determine that different-value resistors would provide optimum bias for each tube, you could select a single value that biases one tube a little cooler than optimum in order to use a single, shared cathode resistor.
Also, if it were my amp, I'd add a dedicated volume control preceding each tube, so that you could balance the amount that each tube contributes to the overall sound. Kind of like a post-phase inverter master volume, without the phase inverter.