I'm a novice sharpener, planning my next knives and sharpening kit. I've used both Arkansas stones and the Lansky system, finding the Lansky easier to get consistent results with. I feel that to get the best results, I should better understand the theory. While I've found a lot of talk about the relative merits of different systems, tools, and methods for sharpening, I yearn for something more rigorous and descriptive. Here is my question(s): How consistent does an angle need to be to get the best possible edge? How much tolerance is there for slop in maintaining angle while sharpening? A degree either way? A tiny fraction of a degree? How much can the edge deviate from its line down the center of the blade (assuming a 50/50 edge) and not lose any sharpness? I'm currently trying to work out how much I am likely to deviate from my intended angle with both of my sharpening methods as well as how close it is possible for me to get to maintaining my intended angle. If no one knows the answer personally, is there at least some place I can be pointed to find out? Thanks.