Pear Frangipane Tart

Ingredients

• 1 cup flour
• 1/4 cup sifted cake flour
• 1/4 cup sugar
• 1/2 teaspoon salt
• 6 tablespoons cold unsalted butter
• 2 tablespoons shortening
• 2 tablespoons ice water
• 3/4 cup blanched slivered almonds, ground fine
• 1/2 cup butter
• 1/2 cup sugar
• 2 eggs
• 1/2 teaspoon almond extract
• 5 pears, halved, cored, and peeled
• 1 cup water
• 1/2 vanilla bean
• 1/4 cup apricot jam (for later use)