Line a large baking sheet with parchment paper and position two 7-inch pastry rings on it, ungreased. Preheat the oven to 465°F / 240°C.
Add the pistachios to a food processor and pulse them until finely ground, but be careful not to process them too long, or you’ll end up with pistachio paste.
1 ¼ cups Pistachios
Add the flour and powdered sugar to the ground pistachios and pulse until everything is combined. Set aside.
½ cup Powdered Sugar, ⅓ cup Cake Flour
Ensure the egg whites are at room temperature, then whip them with the cream of tartar and a pinch of salt using a stand mixer or electric whisk.
1 teaspoon Cream of Tartar, ¼ teaspoon Salt, 5 large Egg Whites
Once the egg whites start to froth, gradually add the sugar, one tablespoon at a time, whipping for 30–60 seconds in between each addition.
⅝ cup Granulated Sugar
Once all the sugar is incorporated, the meringue should be thick, glossy, and free of any graininess. Continue whipping until stiff peaks form.
Once the meringue is ready, gently fold in half of the pistachio flour mixture. Be cautious not to deflate the meringue too much.
After it’s incorporated, add the remaining pistachio flour and fold until completely mixed.
Divide the dacquoise batter evenly between the two pastry rings and spread it out as flat as possible.
Place the dacquoise in the oven and immediately reduce the temperature to 350°F / 180°C. Bake for 15 minutes.
After 15 minutes, turn off the oven and slightly crack the oven door. Allow the dacquoise to sit inside for an hour before transferring to the countertop to cool completely in the pastry rings.
Once fully cooled, use a sharp knife to carefully run around the edge of the pastry rings and gently release the dacquoise.