I'm posting this because the question seems to come around here pretty often about turning a MT taper for tail stock things.
A few weeks ago a friend gave me a couple of nice Jacobs 14N ball bearing chucks on MT4 arbors... He knew I needed a tailstock chuck for the Clausing, trouble is the Clausing tail stock is MT3, he figured I'd just go buy an MT3 to Jacobs...
Well today I had a bit of time and figured I'd see if I could turn em down from MT4 to MT3.. I figured I had nothing to loose... First thing I thought was I'd have to take them off the chucks, but didn't have a "pickle fork" for em.. but hey the BP hacked one out in about 5 minutes. I popped one out and as I pondered how I was going to set it up in the lathe I realized I don't have MT4.5 dead center for the head stock, and getting a dog on the already taperd part would have been a chalange, but I do have a dead center for the tail stock.... Hmm I thought well what now... I decided the best thing would be to stick a piece of 1/2 inch CRS in a collet, grab the 1/2 in the Jacobs chuck and see how close to on center I could get it, a minute of tighten, loosen, tighten, loosen on all three holes and I had the damn thing under .0005, hey close enough for Govmnt work.... Next I checked to make sure I had enough travel on the compound to do this in one pass, ahhh just barley (no I don't have a taper attachment) ... Then I checked to make sure that the #4 taper was the same as the #3 by holding a #3 backwards against the #4 and mic'ing it in several places, yup same size in all places... Q.E.D same taper... Took about 5 minutes to get the compound dead nuts on the #4, but the .0005 reading Starretts needle didn't move any I could see so... 4 passes with the compound taking .050 on 3 and .005 for a clean up, polish at 2000 rpm with 1000 grit, grind the tang down in thickness a bit and I'll be damned, it works just fine.. :-)
--.- Dave