Using an electric mixer, cream butter and sugar until light and fluffy. Add egg and vanilla. With mixer on low, add flour and spices through black pepper; mix just until combined. Wrap in wax paper; chill until firm, about 1 hour.
Unwrap the chilled log and place it on a cutting board. Using a serrated knife, slice it into rounds about 1/4-inch thick.
Place rounds on parchment-lined baking sheets, 1 inch apart. Bake until pale golden, 13 to 15 minutes.