Preheat the oven to 350 degrees F. Grease a 8×8 inch square pan.: The smell of a warm oven is the first sign the bake will come together, so allow full preheating so temperature is consistent. When you grease an 8×8 inch square pan , use a thin, even coating or line it with parchment to ensure the cake releases cleanly. The metal will feel warm to the touch when ready, and the oven light should show an even glow. If the oven is not fully up to temperature, the cake may bake unevenly with a dense center. Avoid opening the door repeatedly during the first half of baking, as that drops oven heat and can cause collapse.
Combine the cake flour and baking powder in a small bowl. Set aside. In a larger bowl, cream the butter and 1/2 cup of sugar until light and fluffy, about 4-5 minutes. Add the egg yolks one at a time, beating until the mixture is pale and fluffy, another 3-4 minutes. Add the vanilla, almond extract, and lemon zest and beat just until combined. Fold in the almond flour. Beat the egg whites in a clean, dry bowl on medium high speed until foamy, then add the cream of tartar. Continue to beat until stiff peaks form. Fold in 1/3 of the egg whites, then 1/3 of the flour mixture. Repeat with the remaining egg whites and flour. Be very careful not to over-stir. Spoon the batter into the pan, smoothing it with the back of the spoon to even it out. Bake for about 30 minutes, or until a toothpick inserted into the middle of the cake comes out clean. Be careful not to over-bake. Remove the cake from the oven and let sit for 10 minutes. Carefully invert the cake.: At this stage you should notice the fine, powdery texture of the cake flour and the faint scent of leavening powder. Whisking them together aerates the mixture, which helps distribute the baking powder evenly so the rise is uniform. Sifting or whisking also removes lumps that would create tunnels in the cake. A common mistake is skipping this step, which can lead to an uneven crumb, so take the few extra moments to blend them thoroughly.
While the cake is cooling, make the glaze: Combine the lemon juice and lavender flowers in a small saucepan or microwaveable dish, bring to a boil, remove and let steep for at least 5 minutes. Use a mesh sieve to strain the lavender flowers. Stir the powdered sugar and lavender liquid together until the sugar is dissolved.: When creaming unsalted butter with white granulated sugar , you'll see the color shift to pale and the texture become airy, which traps tiny pockets of air that contribute to rise. Use a mixer on medium speed or beat by hand with persistence; the sound turns from heavy thudding to a smoother, more rhythmic beat. If the butter is too cold it will not cream properly, producing a dense batter, while butter that's too soft can result in a greasy batter. Aim for a texture that holds soft peaks when scooped.
Poke some small holes around the top of the cake with a toothpick to allow the glaze to fully absorb. Pour the glaze over the cake and let the cake sit for at least 20 minutes before serving.: As you incorporate each egg yolk , the batter will become silkier and slightly more fluid, and the color will deepen to a warm yellow. Beating between additions helps emulsify the yolks into the butter, preventing separation and ensuring the cake remains tender. Listen for the mixer smoothing out, and stop once the batter looks glossy. Overworking at this stage can cause the batter to become thin and collapse later, so aim for just combined and aerated.
Add the vanilla, almond extract, and lemon zest and beat just until combined.: At this point the aroma will become more complex, with sweet vanilla and bright citrus brightness lifting the richer butter notes. The almond extract is potent, so add it sparingly and mix briefly, as it will very quickly assert itself. Mixing just until combined prevents dissipating the trapped air. A mistake to avoid is adding too much almond extract which turns the cake overly perfumed; small amounts amplify the almond flour rather than overpowering it.
Fold in the almond flour.: The almond flour brings a moist, slightly grainy texture that will dissolve into the batter with gentle folding. You should feel and see the batter smooth out, and notice a subtle nutty scent. Folding preserves the aeration created earlier; aggressive stirring at this point will deflate the batter, producing a heavy result. If you overfold, the cake may become dense, so stop once streaks disappear and the mixture looks homogeneous.
Beat the egg whites in a clean, dry bowl on medium high speed until foamy, then add the cream of tartar.: Whipping egg whites begins as a pale foam that then becomes thicker and shines as proteins stretch and trap air. Adding cream of tartar early stabilizes the foam so it holds when folded in. You will hear a change in the mixer sound from splashing to a higher pitch as stiffness increases. A common error is any trace of yolk or moisture in the bowl, which prevents whites from whipping; ensure tools are spotless and dry.
Continue to beat until stiff peaks form.: Stiff peaks will stand tall without collapsing when the whisk lifts; visually they look glossy and hold shape. The surface will appear satiny under kitchen light, and you may feel slight resistance when stirring. Overbeating turns whites grainy and dry, making incorporation difficult and resulting in a dry crumb, so stop as soon as you see firm, stable peaks.
Fold in 1/3 of the egg whites, then 1/3 of the flour mixture. Repeat with the remaining egg whites and flour.: The sequence of alternating small additions softens the batter and helps maintain air. You should see the batter lighten and gain volume as you fold, with gentle streaks that disappear after a few careful turns. Use a rubber spatula and scoop from the bottom, folding over the top in a figure eight motion to preserve trapped air. Rushing or stirring will deflate the mixture and yield a dense cake; take patient, deliberate folds.
Spoon the batter into the pan, smoothing it with the back of the spoon to even it out.: The batter should spread with a slight resistance and hold an even surface. Smoothness is a visual cue that the cake will bake uniformly. Use the back of a spoon to coax it into corners and create a level top. If there are big air pockets or uneven thickness, tap the pan lightly on the counter once or twice to release large bubbles, but avoid jarring movements that can disturb the delicate structure.
Bake for about 30 minutes, or until a toothpick inserted into the middle of the cake comes out clean.: During baking you will notice the edges pulling slightly from the pan and the top turning a light golden color. The smell of cooked almonds and lemon will fill the kitchen. Check doneness by inserting a toothpick; if it comes out clean or with a few moist crumbs the cake is done. Overbaking will dry the crumb and mute the delicate flavors, so start checking a few minutes before the stated time and remove when the center is set but not hard.
Remove the cake from the oven and let sit for 10 minutes.: Resting allows the crumb to stabilize and makes flipping easier. You will feel the residual warmth and the cake should shrink slightly away from the pan edges. If you try to unmold while very hot the cake may break; patience at this stage prevents tearing. Ten minutes provides enough time for juices to distribute without losing heat needed for release.
Carefully invert the cake.: Inversion reveals the cake's top and helps it cool evenly. Use gentle, steady motion so the cake slips free, peeling away from the pan lining if used. The surface should look even and lightly golden. If the cake sticks, slide a thin knife around the edges first to help release it; forcing it loose can crack the surface.
While the cake is cooling, make the glaze: Combine the lemon juice and lavender flowers in a small saucepan or microwaveable dish, bring to a boil, remove and let steep for at least 5 minutes. : Heating lemon juice with dried lavender flowers releases the floral oils, and the steam will carry a gentle herbaceous scent. After boiling, let the mixture cool and steep so the lavender infuses without turning bitter. Strain with a mesh sieve to remove solids. Oversteeping can create an astringent taste, so watch the steeping time closely to preserve a bright floral note.
Use a mesh sieve to strain the lavender flowers. Stir the powdered sugar and lavender liquid together until the sugar is dissolved.: Straining leaves a clear, fragrant liquid that mixes into powdered sugar for a smooth glaze. Stir until glossy and lump free, ensuring the texture is pourable but not runny. If the glaze is too thin add a touch more powdered sugar, if too thick add a little lemon liquid. Avoid adding too much liquid at once as it can become overly thin and will not set into the cake.
Poke some small holes around the top of the cake with a toothpick to allow the glaze to fully absorb.: Tiny punctures let the glaze sink into the crumb, creating pockets of citrus and lavender. You should feel the moist interior when poking gently; the holes do not need to be large. Overpoking can cause the cake to fall apart when glazed, so space them evenly and keep them shallow.
Pour the glaze over the cake and let the cake sit for at least 20 minutes before serving.: As the glaze seeps in, you will hear faint liquid settling and see the surface darken slightly where it absorbs. Waiting at least 20 minutes lets flavors meld and the glaze set to a tacky finish, making slicing cleaner. If you slice too soon the glaze will smear and the crumb may compress, so give it the recommended rest for the best presentation.