Back to the original question:
Since you've got a magnifier...you work until all the "scratches" are the same side. If you can't get the 600 scratches with the 1550 you need to find some 1000 or some 800.
Around here I can find, and I use 220, 400, 600, 800, 1000, 1500, and 2000. I can usually skip the 1500 but on some metals it saves time. It means you have to buy more paper...but your paper will last longer and the job will go quicker.
It also *seems* to go quicker if "scratch" in one direction for awhile, then change and "scratch" perpendicular. I don't worry about direction of "scratching" until you start worrying about burrs. For me that's usually around 1000 grit.