Basically, I'd like to see if we can create a comprehensive list of the differences between hones.
Harder to explain than just to do, so let me start:
1. size of the "grit"- i.e. how far apart the high points are on the hone's surface
2. grit shape - how round each high point is, i.e. would the surface look like a tub of marbles or a tub of sugar cubes
3. hardness - or how easily the cutting material abrades steel (diamond being the extreme, I reckon)
4. slurriness - how easily tiny bits break off to form a faster-cutting slurry
Not sure what else... maybe the prevalence of the actual cutting material in a given area? I mean, some hones (both natural and artificial) are composites, so the surface may look more like scattered marbles embedded in concrete than a tub of marbles.
Another perspective: if you looked through a microscope at the tiny scratch marks on an edge, you might imagine measuring them in several ways: how deep they are, how wide they are, how far apart they are, etc. - all of which might be able to be described in terms of the above 4 criteria (or others to be added).
Any thoughts? Please feel free to edit, correct, expound, etc. I know not all of these characteristics can be known about a given hone, but I bet some of the experienced honers around here have a pretty good feeling about how different stones might be characterized in such a manner. Ultimately, I guess I'd like a more concrete set of terms for talking about things like how "fast" a stone is, or how a lower-grit stone can be more of a polisher than a higher-grit stone.