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There is no standard number of passes, in any stone or progression. Experience is the best way to know. After that, you can buy a loupe, and check if the bevel line is straight. There is also thumb...

It is a relatively big jump, but it can work. If I were you, I would choose something in the 4-6k range instead of the 3k. You might also want to consider the 4-8k Norton combo. Many people like it...