In a large bowl, whip butter and shortening. Then add egg, vanilla and first amount of sugar to the mixture. Then add salt, cream of tartar, first amount of cinnamon and baking soda, mix lightly. Mix in flour to create dough. Chill for at least an hour. While dough is chilling combine second amount of sugar, cinnamon and pumpkin spice in a small bowl, set aside.
Take a scoop of cookie dough and roll in your hands to create a ball. Roll ball in pumpkin cinnamon sugar mixture and drop onto a cookie sheet. Bake at 350 degrees for 10-12 minutes. Let cool and serve.