Peach Basil Tart

Name: Peach Basil Tart
Ingredients: Basil Simple Syrup; 1/2 cup sugar; 1/2 cup water; 1 cup packed basil leaves; For the tart:; 1 cup flour; 1/4 cup yellow cornmeal; 2 tablespoons powdered sugar; 1/2 teaspoon salt; 1 stick butter, chilled; 2 tablespoons vegetable shortening, chilled; 3 tablespoons ice water; 2 pounds peaches (6 medium-sized); 1/4 cup basil simple syrup (see above); 1 tablespoon basil leaves, chiffonaded