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Ah, I have both a 11/16 and a 7/8 Basic Black. The 11/16 is almost perfect, but the the 7/8 has a wide, wavy bevel too. I don't think you will improve the cosmetics of the bevel.

My 7/8 shaves...

Pictures?

3 layers of tape will be adding 3 degrees to the bevel which may not be so good...

But Steve Dempster at Thiers-Issard UK (where I got mine) does hone with one layer unless requested...