Solution is almost in hand. I went to Lowe's today and did some searching
and found a transition strip that will, after a couple of passes through
the planer and having one edge ripped square, fill the bill. It will have a
bit of an abrupt rise at the leading edge so, if it looks like too much, a
couple of passes with a hand plane to taper it more should do the job. I
realize now that I should have just dug through my scrap bin for a suitable
piece of oak and made it from scratch but if I'm dumb enough to do a
similar project again I'll know in advance. You live and learn if you're
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