Preheat the oven to 350 F, and position a rack in the center of the oven. Spray the bottoms of three 8-inch cake pans with non-stick baking spray, line with circles of parchment paper, then spray the paper as well. Set aside.
In the bowl of your stand mixer fitted with the paddle attachment, beat the butter, brown sugar and granulated sugar on medium speed for 3-4 minutes, until fluffy, scraping the bowl down several times. Beat in the eggs, one at a time, and the vanilla. Scrape down the bowl and beat for 30 more seconds.
In a separate bowl, whisk together the flour, salt, baking powder, cinnamon, nutmeg and chopped pecans. In another bowl or a liquid measuring cup, combine the milk and sour cream.
With the mixer on low, add the flour mixture to the mixing bowl in 3 additions, alternating with the milk and sour cream, starting and ending with the flour, mixing just until moistened.
Pour batter into the pans. Bake cakes for 28-35 minutes, until a toothpick inserted in the center comes out clean. Cool cakes in the pans on a wire rack, covered loosely with a clean kitchen towel. Note that this cake tends to rise flat across the top, not with a tall dome in the middle. It does not rise significantly, but do not increase the baking powder, or your cake will sink.