An apparatus according to one embodiment includes a block having multiple skiving edges along a tape bearing surface thereof, and a guide mechanism configured to set a wrap angle of a tape approaching the skiving edge. A drive mechanism is configured to cause the tape to move over the block. The block has no transducer coupled directly thereto. A computer-implemented method according to one embodiment includes causing a magnetic recording tape to pass over a block having a skiving edge at a wrap angle of at least one degree for burnishing the tape, wherein the block has an average hardness of at least about 9 Mohs.