You can get away with using about half the fat, if you like - 2 tablespoons of each - but you may have to bump up the milk just a bit. These would also be fab with bits of chopped, cooked ham and green onion stirred in. Add it to the dry ingredients before adding the milk.
1Preheat the oven to 400F. In a bowl or food processor, combine the flour, Parmesan cheese and baking powder. (You won't need to add salt, since the Parmesan cheese is so salty itself.) Add the butter and oil and pulse or stir with a fork or pastry blender until crumbly, with bits no bigger than the size of a pea. If you're using a food processor, dump the mixture out into a bowl.
2Add the milk and stir just until the dough comes together. Pat into a 1" thick circle on a baking sheet that has been sprayed with nonstick spray, and cut into 8 wedges. If you like, brush the tops with a little milk (this will make them brown nicely.) Pull them apart, spacing them at least 1" from each other on the sheet, and bake for 20 minutes, or until golden.