We have the screw of a walnut oil press (circa 1860). It's about 1.5m long and 170mm diameter, pitch 60mm. They were hand carved from a log of lime wood.
First a suitable log was sawn, square, then made octagonal by planing off the corners by 45 degrees, then made 16 sided and eventually round (Similar to sailing mast making).
It was then mounted on a couple of stands, one end with a stub and the other with a handle.
As one operator turned the handle, the other walked from one end to the other, scribing a pencil line along the length thus marking a spiral. These guys were real artisans !
Once they had the spiral line, they would cut a saw cut to the depth of the thread along the spiral. Once that was done, they used a chisel to form the thread profile – thread angle approx 90 degrees!
The final cleaning up was with a wooden moulding plane with a 90degree dagger blade.
I have yet to find out how they made the nut !
Bob