It has been one of my great frustrations learning to make knives and seeing the repeated misnomers like "normalize 3X." It took me far too long to get to a basic working understanding of heat treating. I kept seeing the data sheets and web sites like Kevin's saying to normalize at a given temp, nothing about three times, and certainly none of this 3 step descending thermal cycling thing that is repeated so often.
So...
You can only normalize once. You can repeat the step if you wish, maybe necessarily if a higher heat is needed to complete the process, but it's still a one time thing. This is done for one reason only. To "reset" the steel to a workable condition, where all the constituent elements are evenly distributed. If I've forged a blade in 80CrV2, the last heat in the forge is at normalizing temperature, as evenly across the work as possible. That's the point is to get the whole piece in one condition. Personally, I then switch to the oven for 2 cycles at 1475F. I'd do the same in the forge if that's all I was using. This is just 2 heats that are in the low end of the austenitizing range, which seem to do the best at grain refinement. That's usually right where I stop. I do whatever work I want to do before finishing the heat treat, which I do at 1525F for 12-13 min (I set the timer at 15) followed by usually the 2x2 temper at 375F (~61.5HRC).
The stress relieving, which I don't do, is done in the 1250F range. I won't quote a time, cuz I don't know. It is below critical temp, so stuff doesn't move around too much.