Gear ratio for a long hard pull

[frizzen]

Alright, I'll let everybody in on a part of a 'black project' of mine, but only because I want to double check some math. I'm using a modified Friction motor for a gearbox. (Project spoiler: it's gonna be part of a heavily modified 3 channel RF+IR ZZ-M setup.) Once I've got proof of concept and it works well enough, I'll be doing a tutorial.

*PLEASE* check my math. The goal is torque, I need every bit of torque I can get. At the very least, I want enough torque to be able to do a dead pull on a roughly 70 gram rolling item.

Going to be adding on a:
6 T motor pinion
maybe 22 T axle gear

--- Gearbox currently
10 T (former axle, now gearbox input)
22 T / 10 T idler
24 T / 10 T idler
42 T / (former spring housing, now winch drum)

Which should make the Gearbox alone a 22.176:1 ratio.

If I add the 6 T motor pinion directly to the 10 T gearbox input, that should bump the final drive to a 36.812:1 ratio.

The 6 T motor pinion meshing with the 22 T axle should give me a 3.667:1 ratio. The 22 T and the 10 T input would make a 0.454:1 ratio, and bring my final drive back to 36.9598:1 ratio. Which adds more friction and not much help to the ratio without the 22T idler.

If I do some cut and graft of the previously mentioned 22 T axle gear idler onto the same shaft as the 10T gearbox input, that should give me something like an 81.164:1 ratio. (not sure if possible though)

The motor I've got for this is smaller than the Bit motors, it's got that lovely 3-wire setup, so I'm not sure how much more work would be involved to switch it to like a ZZ or ZZ-M motor.