How long is the incubation period for a duck?
It's 28 days for all domestic ducks except Muscovies, who are 35 days. Muscovies, at least, sit undisturbed for 24 hours when commencing the sit.
If you have "other duck" eggs that you want to add to the Muscovy's clutch, wait a week and make sure the eggs are warm when you slip them under. You have a fair chance of success. She won't mind that one of her ducklings looks a little different from the others.
It isn't diligence: it's the fact that the duck eggs need more humidity so it kind of forces mum to get up, go swimming, get a bit wet so as to transfer humidity to her eggs.
Incubation period for duck eggs
Once they have laid their clutch and have started to sit on them full-time it normally takes 28 days to for them to hatch. Ducks will get up and roam around a bit occasionally to eat and drink (they are not as diligent as chickens; who will sit for longer periods of time and slow down their metabolism so they don't need as much nourishment.) Always make sure to have water around, though for ducks (and even chickens, in a smaller amount) because they need to wet their feathers occasionally when they are hatching eggs. (If you've ever hatched eggs in an incubator...this is why they need to be spritzed with water periodically.)Also, ducks will remove bad eggs (or unfertilized) from their nests and carry them away so pests don't bother the nest. This is normal, but be careful where you walk because ducks leave them all over the place. They never pick a spot and just leave all of them in the same place! This is probably instinctual to help thwart predators, though. They are not being vindictive. (Although with ducks, it's sometimes hard to tell!)
(The term for eggs is incubation. Gestation is for live young, as in most mammals.)