In a medium bowl, whisk together the cornmeal, cake flour, and baking powder. Using a stand mixer with a paddle attachment, beat the butter and almond paste on high speed until smooth, about 3 minutes. Reduce the speed to low and beat in the vanilla extract. Gradually add 1¼ cups of confectioners’ sugar, beating until the mixture is light and fluffy, about 3 minutes. Increase the speed to high and beat in the egg yolks and whole eggs, one at a time. Reduce the speed to medium and add the sour cream and dry ingredients and mix until just incorporated.