Preheat oven to 350°F (175°C) and ensure a 10-inch tube pan is completely clean and ungreased.
Sift the cake flour and 3/4 cup of the granulated sugar together three times to ensure aeration and set aside.
In a large grease-free bowl, beat the egg whites, cream of tartar, salt, vanilla extract, and almond extract until soft peaks form.
Gradually add the remaining 3/4 cup of sugar, one tablespoon at a time, beating on high speed until stiff, glossy peaks form.
Sift the flour-sugar mixture over the egg whites in four separate additions, gently folding with a spatula after each addition until just incorporated.
Carefully spoon the batter into the tube pan and run a thin knife through the mixture to remove any large air pockets.
Bake for 40 to 45 minutes until the top is golden and springs back when lightly touched.
Invert the pan immediately over a wire rack or bottle and cool completely for 2 hours before using a thin knife to release the cake from the edges.