In other words (if I understand this correctly), run the Odyssey 1 engine (assuming a later version with an on/off switch) with the Odyssey turned off in order to run it with a TMCC engine that doesn't have Odyssey. Is that right?
They might work, they might not, regardless of the gear ratio. Theres no way to know if the boards have the same motor control profile, or even if the motors are the same.
Model numbers would help narrow it down so we could cross reference the parts.
It can’t hurt to try, but in my experience I usually end up with one engine dragging the other around, or the two fighting each other as one gets traction and the other loses it.
I have the best results with either Legacy control of speed matched locomotives (not all are) or TMCC 32 step absolute step mode.
Conventional also works pretty well, assuming the locomotives are speed matched (same, or very similar drive train, with similar generation of electronics.
Control of MUs via the Cab-1 and Cab-1L never work that well. The Cab-1L is a bit better, but not by much. The problem is that if one of the locomotives misses a speed up or down command, it’s nearly impossible to recover without coming to a complete stop. In absolute speed step mode, if one engine misses a step command, adjusting to a lower or higher step usually corrects it.