Preheat the oven to 350°F (177ºC) and line standard cupcake pan(s) with liners. This recipe makes about 14 cupcakes.
Add the sifted cake flour, baking powder, baking soda, and salt into a bowl and whisk to combine. Set aside.
In the bowl of your stand mixer fitted with the paddle attachment (or with an electric mixer and large bowl), beat the butter on high for two minutes until creamy. Add the vegetable oil and sugar and continue to mix on high for another two minutes. Scrape down the bowl and paddle. Turn the mixer to low speed and add the eggs one at a time, mixing thoroughly after each addition. Add the vanilla and sour cream, then turn the mixer to high speed and mix for one minute. Scrape down the bowl and paddle as needed.
With the mixer on low speed, add in the dry ingredients all at once and mix until just combined, then add the milk in a steady stream. Continue mixing for another 20-30 seconds, until just combined. Scrape down the sides and bottom of the bowl and give it a few stirs to make sure there are no lumps (without over-mixing). The batter will be slightly thick.
Spoon or pour the batter into the cupcake tins until they’re about ⅔ full, then bake for 14-18 minutes, until they spring back to the touch and a toothpick inserted into the middle comes out clean. Let the cupcakes cool in the pan for about five minutes before removing them from the pan and continuing to cool on a wire rack until room temperature. Make sure they are entirely room temperature before adding any frosting.