Preheat the oven to 350 degrees Fahrenheit. In the bowl of an electric stand mixer fitted with the paddle attachment, beat together the butter, sugar, cinnamon, nutmeg, vanilla and almond extracts at medium speed until smooth. Add the almond flour and mix at low speed until combined. Add the flour and stir until a crumbly mixture forms.
Pat the mixture into the bottom and sides of 6 different 5-inch tart pans with removable bottoms. Press the mixture tightly against the sides and bottoms of each pan to solidify it, creating a uniformly 1/4-inch thick tart crust within each pan. Place the pans in the freezer for 20 minutes.