Gerry, thanks for the reply. You have to admit that it is kind of funny for you to tell me not to be so worried about resolution, and then yours is even 10x better.
OCNC, you are right, I need to find someone locally with a cncrouter and buy them some pizza and accessories.
I found an interesting, nearly similar concept on cnczone to what I am thinking about for the motion. Also interestingly, it has the exact problem I was wondering about. Please consider to go to the nearly last post in this thread with a picture of his results:
The system uses a nema 34 motor with module 1.5 rack and pinion. The pinion is directly mounted onto the stepper motor shaft, no reduction. It started out that it did not have enough torque, but this was fixed by increasing the power supply voltage.
Now that this was fixed, he made some diagonal cuts and posted a picture. You can see that rather than a smooth diagonal line, it is made up from small line segments. This is exactly what I was worried about.
http://www.cnczone.com/forums/linear..._no_works.html
The gear reduction for nema 34 motors sold by Ahren is only 2x reduction, so I don't think that this is going to solve this problem, nor would I expect 3x to do so either.
What is not clear, is if the OP was using micro stepping or not, but I think so since he talks about setting his controller to 3200.
This is the kind of thing I am spending time calculating and wondering.
Thanks
Harry