Lime Cake with whites

1 1/4 cups whole wheat flour or white whole wheat, whole wheat pastry flour 1/2 cup flour, all-purpose 2 teaspoons baking powder 1/2 teaspoon salt 2[...]

For the cake: 1/2 cup flour, all-purpose 1/3 cup pastry flour, whole wheat 1/4 teaspoon salt 4 large eggs at room temperature 2/3 cup sugar 1 teaspoon vanilla[...]