Place the orange and tangarine sections in the workbowl of a food processor or in a blender and puree. Transfer the puree to a large mixing bowl.
Place the banana slices, peaches and pineapple in the workbowl of a food processor or blender and puree. Add the puree to the orangetangerine mixture. Stir in the honey til dissolved.
Chill, covered for 2 hours or more. Sprinkle with chopped walnuts and nutmeg before serving.