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Preheat the oven to 350°F (180°C). Line two 10-inch (25 ½ cm), two 8-inch (20 cm) and two 6-inch (15 cm) cake pans with parchment paper and set aside.
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In a bowl of a stand mixer fitted with a whisk attachment, whip 9 eggs on high speed for 1 minute.
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While continuing to mix, gradually add 1 ½ cups (12 oz/340 g) granulated sugar to the eggs, then continue to whip for 10 minutes, until pale, thickened and doubled in volume.
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In a small bowl, combine 1 ½ cups (7 ½ oz/213 g) of flour with ¾ teaspoon of baking powder, then gently fold the flour mixture into the eggs in a few additions, until fully incorporated.
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Divide the batter between the two 10-inch (25 ½ cm) cake pans (about 5 cups per pan) and bake for 22-28 minutes, until the top is golden brown and a thin knife inserted in the center comes out clean.
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Let cool for 10 minutes, then transfer to a wire rack to cool completely, about 30 minutes.
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Mix the remaining cake layer ingredients in the same way as above and then divide the batter between the remaining pans in this way: for the 8-inch (20 cm) pans, you will need about 3 cups per pan and for the 6-inch (15 cm) pans you will need about 2 cups per pan. (The batter should come up about halfway up the sides of each pan.)
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Bake for 22-28 minutes, until the tops are golden brown and a thin knife inserted in the center comes out clean.
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Let cool for 10 minutes, then transfer to a wire rack to cool completely, about 30 minutes.