All passengers on a sailing will have the same order of restaurants, but there are 3 possible starting restaurants.
So, if the order is 1231231, the three possible rotations could be:
Marvel/Coco/1923/Marvel/Coco/1923/Marvel
Coco/1923/Marvel/Coco/1923/Marvel/Coco
1923/Marvel/Coco/1923/Marvel/Coco/1923
If the sequence is 1233123, then the rotation starting with Marvel might be Marvel/Coco/1923/1923/Marvel/Coco/1923.
Unless you're sailing Concierge (and maybe not even then) you won't know your rotation until you board. If you are in a dining room 3 times on a 7-night Caribbean cruise, the 2nd (or sometimes 3rd) visit will be Pirate Night. That will be evident when you are able to book activities, because Bibbidi-Bobbidi-Boutique will offer Pirate makeovers that night.