So I cored and chopped the apples and threw them in the pot with a little water and some cinnamon and allspice. I didn't bother peeling them, as I like the added interest in texture; plus the peels are where the good nutrients are. (I don't peel my potatoes before I make mashed potatoes, either, for the same reason.) After about ten minutes, they started getting soft, and I realized I'd put a little too much water in so I sucked it out with a baster and put it in a mug and drank it like cider.
I let the applesauce boil on medium for half an hour, and then mashed it up with a fork. At one point my thumb slipped off the fork and I put my fist into the hot sauce, and burnt my bird-makin' finger a little. Barely hurt, though. I put a little lemon juice in, but gravensteins are a pretty good level of sweet vs. tart so I probably could have gotten away with not putting any in. I didn't put any sugar in, as I like tart sauce.
Then I put some in a ramekin and ATE it. It was yummy. I like it best when it's warm, and chunky. Mmm. I wonder if it'd also be yummy with pumpkin in it. (Maybe when we go back to the farm for our pumpkins in a few weeks, I can bring back ingredients to try it!)