Preheat your oven to 350 ℉
Mill your soft white wheat berries into flour. Sift the flour separating the bran out and place in a small glass bowl.
To the bran, add your milk and allow to sit and soften for 20 minutes.
To the rest of the flour, add baking powder, baking soda, salt, nutmeg and cardamom. Set aside.
To the stand mixer, add your eggs white and whip to soft peaks. Remove and set aside.
Now, to the empty stand mixer, add yogurt, sugar, egg yolks and vanilla. Mix until combined.
Place your coconut oil on the stove in a small sauce pan to melt.
Slowly sprinkle in the flour and additional dry ingredients to your yogurt mixture in the mixer. Alternately add the melted coconut oil.
Finally add your milk and bran to the mixer.
Remove the bowl from the mixer and gently fold in the egg whites, just until combined.
Prepare 3, 9" pans by cutting parchment rounds to fit the bottom of the pan. Spray with oil to coat the sides and parchment.
Divide your batter evenly between the 3 pans.
Bake for 30-35 minutes until a toothpick inserted comes out clean.
Allow to cool completely before removing from the pan.