Pear, Apple, and Quince Crostata

Put oven rack in middle position and preheat oven to 375 °F. Peel, quarter, and core pears, apples, and quince, then cut into 1-inch chunks. Toss fruit with sugar, lemon juice, ginger, cinnamon stick, cloves, and 1 tablespoon apple cider in a bowl. Transfer to a large shallow baking pan (17 by 12 inches) and roast, stirring once or twice, until fruit is very soft and caramelized, 1 to 1 1/4 hours. Remove from oven and add remaining tablespoon apple cider, scraping up caramelized juices from bottom of baking pan. Discard cinnamon stick and cloves. Cool in pan on a rack, about 45 minutes.