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For the cake:
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Preheat oven to 350F (180C).
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Coat a 9-by-13-inch glass baking dish with cooking spray with flour.
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Or you can spray the pan with regular cooking spray, dust with flour and tap out the excess.
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Melt chocolate in the microwave on Medium in 30-second bursts, stirring after each burst to ensure even melting, until completely melted.
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(Alternatively, melt the chocolate in a double boiler over hot water, stirring constantly.)
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Set aside.
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Mix together cake flour, whole-wheat flour, cocoa, baking powder, cinnamon and salt in a medium bowl.
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Set aside.
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Beat egg whites in a clean medium bowl with an electric mixer on high speed until soft peaks form.
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Add 1/4 cup sugar in a slow, steady stream.
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Continue beating until stiff peaks form.
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Whisk together the remaining 1/2 cup sugar, brown sugar and oil in a large bowl on medium speed until combined.
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Beat in egg yolks one at a time, then melted chocolate and vanilla, scraping down the sides of the bowl as necessary, until combined.
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Add 1/2 cup milk to the egg-yolk mixture, beating on low speed, then add half the flour mixture.
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Beat in the remaining 1/2 cup milk, then the remaining flour mixture just until combined.
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Fold in the whites with a spatula, using long, even strokes.
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Scrape the batter into the prepared pan, spreading evenly to the edges.
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Bake until a toothpick inserted into the center comes out with a few moist crumbs attached, 25 to 30 minutes.
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Cool on a wire rack for at least 1 hour.
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For the almond cream:
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Beat cream and powdered sugar in a medium bowl with an electric mixer on medium-high speed until the mixture is the consistency of sour cream, about 1 minute.
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Beat in sour cream, almond extract, vanilla and cinnamon.
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Serve the cake with the almond cream.