Preheat oven to 350 degrees F. Line baking sheet with parchment paper.
In large bowl with electric mixer, beat butter and sugars together until light and creamy, about 2 minutes.
Add eggs, one at a time beating until completely combined.
Add vanilla extract, beating to combine.
In medium bowl, combine flour, baking soda, baking powder, salt, cinnamon, nutmeg, and oats.
Gradually add dry ingredients to wet ingredients, stirring until fully combined.
Fold in butterscotch chips.
Using a 2-tablespoon cookie scooper, place dough balls onto prepared baking sheets, at least 2 inches apart.
Bake in preheated oven for 9-11 minutes, until edges are golden brown.
Cool 5-10 minutes on baking sheet, then transfer to cooling rack to cool completely.