Heat oven to 350°.
In a large bowl of a standing mixer, cream the butter, granulated sugar, and light brown sugar until well blended, light and creamy. Add the eggs one at a time, beating well after each addition. Beat in the vanilla.
In a separate bowl, whisk together the cake flour, all-purpose flour, baking soda, kosher salt, cinnamon and nutmeg until well combined.
Add the dry ingredients to the butter, sugar and egg mixture. Mix on low, gradually upping the speed to 3 for 30 seconds. Use a spatula to fold in any stray ingredients.