Atsubitai was also known as toobitai, but after the end of the Heian period, the term "toobitai" began to represent a Court cap which had a half-moon or crescent-shaped hole on the top of a usubitai covered by ra or silk gauze.
また、本来厚額の別名であった透額だが、同じく平安時代末期以降は薄額の上部に半月形もしくは弦月形の穴を開けて羅あるいは紗を張ったものを指す様になった。