In a microwave-safe bowl, melt the butter. Let it cool for 15 minutes then add it to the bowl of a stand mixer.
Add the brown sugar and white sugar to the butter and beat on medium speed for 4 minutes, scraping down the sides as needed. Add the egg and egg yolk and beat just until combined.
Add the vanilla and dissolved baking soda and beat just until combined.
In a separate medium bowl, whisk together the all-purpose flour, cake flour, baking powder, cinnamon and salt.
Add the flour in 1/2-cup increments to the stand mixer and beat just until combined. Stir in the chocolate chips and pecans (optional).
Cover the bowl and refrigerate the dough for a minimum of 3 hours but ideally overnight. (See Kelly's Notes.)
When ready to bake, preheat the oven to 350°F. Line two baking sheets with parchment paper.
Scoop 1 1/2-tablespoon mounds of the dough onto the baking sheets, spacing each mound at least 3 inches apart.
Bake the cookies until golden brown and the centers are still not fully set, 12 to 15 minutes. Remove the cookies from the oven and let them cool completely on the baking sheets before serving.