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Many natural stones which have been in use for a long time are generally thought to be finer than 8k. Some by a substantial margin. Moreover there were many ways in which people used to 'finish,'...

You can probably make it work, depending on the hones, but if you don't want to, get sick of it, or simply want to make life easier 1/6/8 would be a pretty tidy progression depending on the stones. ...