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Preheat oven to 400°F.
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Line 6 jumbo or 12 regular muffin tins with paper liners or spay them with Pam.
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Mix flour, cornmeal, baking powder, and salt together in medium-sized bowl and set aside.
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Cream the butter and shortening in a large bowl (I use Kitchen Aid) with an electric mixer on high for 2 minutes.
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Then, with mixer still running, gradually add sugar, then eggs, one at a time.
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Continue beating until the batter is creamed and light yellow colored (may look slightly curdled) and add the vanilla.
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Reduce mixer speed to low.
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Beat in half of the flour mixture, then half of the milk, beating about 1 minutes after adding each.
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Repeat, beating in the rest of the flour mixture, then the rest of the milk.
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Beat the batter until well blended, about 1 minute more.
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Spoon into muffin tins, almost up to the top.
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Bake at 400°F for first 10 minutes.
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Reduce temperature to 375°F for about 15 minutes or until golden and toothpick comes out clean.
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Makes one dozen regular muffins or 6 jumbo.