As I mentioned in the previous installment, I altered my plan to use different lamp pipe to avoid having to use a decorative sleeve over all-thread lamp pipe. 

I thought I'd try antique brass given this is a mid-century modern style lamp.  Unfortunately, the antiquing read more black than brass.  Not the look I was going for.

The antique brass pipe was a bust, and it had been a little fiddly to trim the threaded ends to ensure no threads would be visible when the two sections were joined with a coupler (not shown, but the coupler would be in the saddle at the top of the stave joint).  So back to the Grand Brass website.  While perusing parts, I saw that they also offered internal thread lamp pipe.  The outer diameter was a little larger (1/2" instead of 3/8"), but it would solve the issue of having visible threads and would eliminate the need for a coupler.  Essentially, the internal thread pipe becomes a long coupler.  I like simplification, so I changed the plan again.   Just in case there were assembly issues I wasn't considering with the new approach, I ordered both internal thread and external thread pipe, in brass this time.  If I have to fall-back on the 3/8" pipe, I won't have to place another order.

For the base, I have a 3" section of pipe.  I had to disc sand down maybe 1/16" from an end to make it fit under the stave joint, leaving a small gap below the joint (which won't be visible).  The gap is just to ensure that the legs fully seat against the base.

A piece of all-thread gets installed next.  It's long enough to protrude about 5/8" when the stave assembly is set in place.

The final 18" pipe and check-ring go next.  This looks very much like the pipe proportions of the original lamp.

Unfortunately, the internal threads on the 18" pipe were cut off-axis.  There was probably an inch of deflection over the length of the pipe.   More than I could correct for with the stave bracket without distorting the lamp.   I contacted Grand Brass and explained the problem and provided photos, and they'll be sending out a replacement.   Here you can see the pipe tight against the rule and the all-thread going off at a wonky angle.

Another wait on hardware, but I've got a plan that I'm happy with.