In reply to Conor1:
Well Conor, there's some excellent info there, but there's also a bit of mis-information... I'll try not to annoy you as I did on the other thread.
A French prussik, autobloc and Machard are the same thing. (Autobloc is a strange name, as all the knots you mention will 'auto-block'), but that's the name we have given it, probably due to the fact it's the best one to use to protect an abseil, as it can be easily released under load. It can also be used as EITHER of the knots when ascending. The argument against it, used above - that it will release if you try to pull up on it is understandable, but in fact, when putting your weight on the foot loop when ascending, you tend to make a couple of pulls on the rope and not on the prussik, so in fact makes no difference and is much easier to release to slide up. It's not altogether true that it's the knot attached to your harness that is stopping you sliding to oblivion as you should always tie in to the rope at regular intervals, so that argument against it isn't valid. It's the easiest to tie and can also be tied with a sling, despite someone saying otherwise. It will do everything the others will and more. It also has uses in other situations such as hoisting.
A klemheist shouldn't be used to protect an abseil as you won't be able to release it should you let it lock. You can certainly use it to ascend - both foot and harness, but it's more difficult to release.
A classic Prussik knot is very much superseded by the above two. It's more fiddly to tie and must be tied very neatly to make it work. It will not release under load. Forget it, other than in an historical context!
A Bachman has similar qualities to a French prussik in that it will release under load, but it's more fiddly to tie and requires an extra karabiner. If you are tempted to try one, remember that the krab is NOT a handle like a Jumar. If you pull up on it, it will release and drop you.
I don't really understand your description of the other knot...