Grease and flour three 6-inch round pans and set aside. Pre-heat oven to 350 degrees.
Sift the flour, baking powder and salt together. Set aside.
Using an electric mixer, beat the butter until smooth.
Add in the sugar and vanilla bean seeds. Continue to mix on medium speed until completely creamed together. The mixture should be light and fluffy.
One at a time, mix in the eggs and egg yolk. Mix in the vanilla.
Stop mixing and scrap down the sides and bottom of the bowl.
In alternating batches (starting and ending with the dry ingredients), add in the flour mixture and milk.
Mix on medium-low for no more than about 20 seconds after the last streaks of flour have disappeared to prevent over-mixing.
Divide the batter evenly between the two pans and bake for about 24-26 minutes, or until a toothpick inserted into the center comes out clean.
Cool on a wire rack for 15 minutes before removing the cakes from their pans.
Continue to cool completely (or chill wrapped in plastic) before trimming and torting.