Combine applesauce, honey, lemon juice, salt and 1/2 cup of water in a medium saucepan and heat while stirring to dissolve. Add cranberries and bring to a boil over medium heat then reduce to a simmer and add jalapeno, cinnamon, allspice, nutmeg, and chili powder. Simmer for 10-12 minutes or until most of the cranberries have burst and the sauce thickens. Cover while simmering to avoid cranberry juice spraying your kitchen. Remove from heat and serve warm or chilled.