Burnt Miso Pound Cake

Name: Burnt Miso Pound Cake
Ingredients: For the Cake; 100 grams shiro miso (5 tablespoons); 145 grams buttermilk (2/3 cup); 100 grams grapeseed oil, or other neutral oil (1/2 cup); 150 grams unsalted butter, melted (1 stick, or 8 tablespoons, plus 3 tablespoons); 5 large eggs; 310 grams sugar (1 1/2 cups, plus 1 tablespoon); 290 grams cake flour (2 1/3 cups); 65 grams light brown sugar, packed (1/4 cup, plus 1 teaspoon); 5 grams baking powder (1 1/4 teaspoon); 1 gram kosher salt (1/4 teaspoon); 1 recipe apple compote (recipe follows); 1 recipe sour whipped cream (recipe follows); For the Sour Whipped Cream and Apple Compote; 110 grams heavy cream (1/2 cup); 110 grams sour cream (1/2 cup); 20 grams confectioners’ sugar (1/4 cup); 4 grams vanilla extract (1 teaspoon); 1 granny smith apple, medium; 200 grams sugar (1 cup); 4 grams pectin NH (1/2 teaspoon); 2 grams ground cinnamon (1 teaspoon); 1/4 gram kosher salt (1 pinch)