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Cake:.
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Butter and flour two 9-inch round cake pans. Line bottoms with waxed paper cut to fit; butter paper and dust with flour.
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In a small bowl, mix 1 1/2 cups cake flour, 1/4 cup sugar, baking powder, 1/2 cup chopped pistachios (wrap remaining airtight), poppy seeds, lemon peel, orange peel, and cardamom.
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In a glass measure or small microwave-safe bowl, melt 2 tablespoons butter in a microwave oven on full power (100%), 1/2 to 1 minute. Add milk and vanilla.
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In a deep bowl, with a mixer on high speed, beat eggs with remaining 1 cup sugar until thick enough to hold mounds briefly when you lift the beater, 4 to 5 minutes. Add flour mixture and milk mixture. Stir or mix gently until well blended. Scrape batter equally into prepared pans.
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Bake cake layers on center rack in a 325u00b0 regular or convection oven until edges are browned and begin to pull from pan sides and centers spring back when lightly pressed, 20 to 25 minutes.
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Cool layers in pans on a rack for about 10 minutes. Invert cakes from pans onto rack and carefully pull off and discard waxed paper.
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When layers are cool to touch, place one, bottom side up, on a flat plate (10 to 12 inches wide). Mound about 2 cups of the Cream Frosting on cake; with a long, flexible metal spatula, spread frosting level out to cake rim. Place remaining cake layer, bottom side down, on frosting. Scrape remaining frosting on top of cake and, with the spatula, push enough over the sides to frost thickly, then swirl evenly over top of cake. Cover (a large bowl inverted over the cake works best) and chill at least 2 hours or up to 1 day.
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Uncover cake and sprinkle with remaining 1/4 cup pistachios. On each dessert plate, spoon 3 to 4 tablespoons Sesame Custard Sauce. Cut cake into wedges and set in sauce on plates.
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Cream Frosting:.
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In a chilled large bowl, with a mixer on high speed, beat 1 1/2 cups whipping cream until it holds soft, distinct peaks. Add 1/2 cup sour cream, 1/4 cup sugar, and 1/2 teaspoon each almond extract and vanilla. Beat on high speed until mixture is thick enough to hold soft, distinct peaks.
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Sesame Custard Sauce:.
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In a large metal bowl, combine egg yolks and sesame oil; whisk just enough to blend.
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In a 10- to 12-inch frying pan over medium heat, stir and shake sesame seeds until pale golden brown, about 3 minutes. Pour into a blender with the sugar and whirl until seeds are coarsely ground. Return mixture to frying pan; add whipping cream and milk. Stir over medium-high heat until scalding (bubbles form at pan rim but mixture does not boil), about 5 minutes.
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Whisk cream mixture into egg yolk mixture, then scrape back into frying pan. Stir over medium-low heat with a flexible (silicone or heat-resistant plastic) spatula, scraping pan bottom and sides, until custard is thick enough to coat a metal spoon with a velvety layer, about 15 minutes. Immediately pour mixture back into metal bowl and nest in ice or ice water; stir often until cool, about 15 minutes. Pour custard through a fine strainer into another bowl, pressing moisture from seeds; discard seeds. Serve custard or cover and chill.
