So the cutting begins. I took about .003" (.08mm) per pass, as far as I could reach on the bar (the lathe dog, tailstock and tool holder prevented turning to the ends. But I'm making a tool I expect to use with all of these in place anyway for easy adjustments of the tailstock while working.
A true precision test bar for testing out the accuracy of a lathe would have the chuck removed and a center in the lathe spindle. Testing the lathe is not the purpose for the tool I was making.
Anyway, back to the skims. After each pass the bar diameter is tested with a micrometer at either end. If one end is larger than the other, the tailstock is adjusted to (attempt) to get rid of the taper.
I found this VERY tricky to do because on my lathe, set-over is determined by two screws on opposite sides of the tailstock base. To adjust you back one off and turn the other in with a slotted screwdriver. Well, they were super sensitive, and I was trying to correct, at first, a total taper of 3 thousandths over 6" of skimmed bar length. An eight of a turn jumped the taper 3 thousandths in the opposite direction!
After overshooting a number of times (and an equal number of skim passes), I had it down to a thou and a half. My final attempt was merely applying pressure to one screw, without loosening the opposite. I couldn't actually feel any movement of the screw, it just felt I had increased my tightening pressure slightly. I then locked the tailstock down again, and did one more skim of the test bar. This time the taper was only a half thou, and I called it done!