Sorry, I originally posted this in the wrong place, I hope this is more appropriate!
I trust this provides food for thought!
This is a concept for moving a long axis. The principle is a development of the endless chain hoist. The drive element is on the right and consists of two sprockets/drums/etc that are on the same axis and locked together, they are of close but not identical diameter, all other sprockets/pulleys etc are free running. The gantry moves at a rate that is half the difference between the 'fast' and 'slow' chain/belt/cable speed.
Consider for example the case where the drives are 21 and 22 tooth sprockets and a chain of half inch pitch is used, for each revolution of the drive the gantry would move 0.25".