Preheat the oven to 350°F (175°C).
Using an electric mixer on medium speed, beat eggs in a bowl until they've doubled or tripled in volume (about 7 minutes).
Gradually add sugar, honey, flour, baking powder, matcha, and water to the egg mixture, beating for 15 to 30 seconds before each addition.
Pour batter into an 9-inch round cake pan.
Bake in the preheated oven until a toothpick inserted in the center comes out clean, about 25 to 30 minutes.
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