It's a Thuringian, I should think! If you're looking at one of Neil's Müllers, it's a very fine finisher, quite slow, can be used with slurry and has a rubbing stone provided, and may well be a bit finer than the 10k. I tend to finish with one of these, or one of those green mystery hones which may well be another Thuringian, too. Very nice edges if you're not in a hurry. There are plenty of other options available, some faster, some even slower, but the Müller seems like a good cost effective solution to me. By the way, it'll need lapping.
If you take HM up on his offer, don't forget your change.