Preheat the oven to 350°F. Peel and thinly slice the peaches and place them in the pie shell.
In a large bowl, beat the butter, sugar, and salt together until smooth. Add the almond flavoring and mix well. Mix in the eggs and the cornmeal. Add the buttermilk and mix until smooth. Pour the mixture over the peaches.
Place the pie on a rimmed baking sheet and place in the oven. Bake for 55 to 60 minutes until just barely set. Allow to cool before slicing.
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