I always thought barber hones were more like 6k to 8k in grit. Could be wrong, have much more experience with natural stones.
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The classic barber hones vary widely in grit size, at least the paper grocery bag full that I have do. The finest has been the Apart and some are so coarse I will not use a razor on them for any stage of the honing process. Estimating the grit size is difficult and frankly the focus should be on what stage of the honing process the hone fits into.
Just my two cents,:)