This is fun!
znode, I didn't mean to offend. With the exception of the the $2 "crossing ceramic/carbide rod sharpening like gadgets", I don't think any method is POS. I call them "crotchsticks" simply because that is what I've heard them called and seen them sold as here in rural Arkansas for some 35 years - not in a derogatory manner. And though obviously sardonic, your comment on my "wit" - well it's just that. Please don't post Arkansas related synonyms

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To clear up, I use jigs to set/form the initial bevel. I can't remember the artist's name, but his claim to fame was that he could draw a perfect circle - freehand. I'm not saying that it can't be done, but just like most of us cannot draw a perfect circle freehand, most of us cannot put a flat bevel on a blade - freehand. Jigs do this wonderfully - some better than others, but still more accurately than freehand.
Once the bevel is set, freehand is the way to go. Why? - because it's damn hard to replicate the initial angle once the blade has been taken out of the jig and then replaced. Freehanded, one can get the bevel flat on a stone, regardles of angle - at least for tall bevels as one would find on chisels/single bevels.
However, the sharpest attainable edge is obtained from a flat bevel PRIOR to stropping. I am not saying that that edge will "outperform" a convex bevel. In several threads I have cautioned folks about using this bevel - it's not very durable. Megasharp! but deforms very rapidly. But it is sharper than an edge obtained from a Sharpmaker (convex bevel).
Because a flat edge is not durable, we strop. Stropping puts a very slight convex to the very edge of the bevel. From multidirectional force, an arch is stronger than a triangle - simple physics. (We also strop to remove a burr, but side sharpening on a 8000 - 16000 waterstone produces no burr). As far as the grading of compounds, uniformity depends on price in most cases, but I will agree that most available compounds are graded nominally not absolute. AND, though I don't use a jig for stropping, my Veritas MkII or others like it would allow one to, "strop with a jig, too." Furthermore, because of the nature of leather (slightly soft), with a little pressure, jig stropping would have the same effect as freehand stropping.
The difference between what I recommending an the Sharpmaker is where the convex occurs on the bevel. With the Sharpmaker, the convex is the bevel.
3 schools of thought here: Sharpness; Durability; Something in between. In my not so humble opinion, Lansky with a "freehand" strop does the best in providing both durability and sharpness - easily. Sharpmaker or any "crock stick" would fall more in the durability school, but still provide a relatively sharp edge. The difference would not be noticed by most. I DO like the Sharpmaker above other like systems because one can cutt rapidly on the edge or more finely on the flat. znode, you can paste out the first part of the last sentence, if you want.
I think everyone should learn to both freehand and use jigs. There are learning curves for both. If Stradivari lived today, I think he would use every bit of technology at his service to make his violins, old or new - point being - there's no shame in using jigs if they produce the edge you want. But I will say that there is a certain pride in freehanding a supersharp blade.
To kgd: I whole heartedly agree, especially about how quickly the Lansky silicone carbide stones dish. They can't be readily flattened and keep their cutting ability, either. The Arkansas Stones can, however.
My lansky is so old that it didn't come with a red handle, just a ribbed aluminum knob.
cinteal