For all burned food i found that WASHING soda, like arm and hammer puts out in the states (may not be as easy to find as it was once, but it's out there), is miraculous. You put some in the pan, like half a cup, and fill with water to the spot where the burned stuff is (if you've burned your sauce, it might be 3/4 up the sides, or in a frying pan, the sides may be all black from the oil if you've been frying chicken or eggplant or something) and put it on the stove. Bring to a boil and simmer for as long as you feel - sometimes it;s enough to bring to the boil and let it sit. More often than not, the spot just lifts with a plain sponge after that.
Not sure if you can do this with aluminum - but with stainless it;s a dream.
By the way, washing soda is great for greasy clothes, like jeans someone has used for fixing the car or aprons you've been wiping your greasy hands on. Just wet the cloth, sprinkle all over with washing soda so it looks like you left your wet towel on the beach and the sand stuck to it, and roll it up and put in the washing machine. Amazing.
Baking soda works a little, but not nearly as well.
"Siduri said, 'Gilgamesh, where are you roaming? You will never find the eternal life that you seek...Savour your food, make each of your days a delight, ... let music and dancing fill your house, love the child who holds you by the hand and give your wife pleasure in your embrace.'"