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Step 1
Preheat oven to 350°F and set an oven rack in the middle position. Grease a 9-inch springform pan. (Alternatively, the cake may be made in a 9-inch cake pan or pie pan and served directly from the pan.)
Step 2
In a large bowl, whisk together the flour, baking powder, cinnamon, nutmeg, cardamom, and salt.
Step 3
In the bowl of an electric mixer fitted with the paddle attachment or beaters, cream the butter and 1 cup of the sugar until pale and fluffy, about 3 minutes. Add the egg and vanilla and beat on low speed until well combined. Gradually add the flour mixture, alternating with the milk, and beat on low speed until smooth. (Note: the batter will be quite thick.)
Step 4
Transfer the batter to the prepared pan and smooth the top with an offset spatula. Arrange the plums on top, skin side up, in a circular pattern so that they mostly cover the batter. Sprinkle the remaining 2 tablespoons of sugar over the plums.
Step 5
Bake for 60 to 70 minutes, until golden on top and set in the center.
Step 6
When the cake is hot out of the oven, run a knife around the edges of the pan and then remove the springform edge, leaving the base in place (if using a springform pan). Let the cake cool on a rack completely. Slice and serve with ice cream or whipped cream, if desired.
Step 7
Note: This cake keeps well, loosely covered at room temperature, for several days.
Step 8
Freezer-Friendly Instructions: The cake can be frozen for up to 3 months. After it is completely cooled, double-wrap it securely with aluminum foil or plastic freezer wrap, or place it in heavy-duty freezer bag. Thaw overnight on the countertop before serving.