Hi Jim, If you want it precise, and aren"t experienced with a lathe, a jig for a router is your best method for turning the taper. You can use a platform over the work with a slot to receive a finger guide that fits on the router base. The platform needs to slope to match your taper. This will give you a straight taper. I use a box, bolted to the bed, with the work turning inside. The router won"t give you a finished surface, but it"ll be straight. Requires a long bit. The oval happens when you change one of the center points. The tail stock is simpler. I"d start out with changing the center point 1/2" in both directions from the original center. That will give you less oval as you approach the head, which will be round. Then if this isn"t enough oval, widen the centers. This is going to be one of those projects where you"ll be expert at exactly at the time you"re finished and don"t need to be. I generally use my lathe making furniture parts. Latest small table came entirely off the lathe. Description would be difficult, but it is a recombination of split cylinders, straight and tapered. Have fun.
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