Zhou dynasty school, disperse, fall apart
頖 centers on a specific historical institution (a Zhou dynasty school) and the idea of scattering or falling apart. The two meaning clusters are distinct: one is a proper noun, the other describes dispersion.
頖 combines 半 (half) with 頁 (head/page). The historical development is uncertain; the connection to a Zhou school or dispersal is not clearly explained by the visible components.
The left side 半 suggests splitting or half, and the right side 頁 can suggest a head or a page. Imagine a school where students are split into halves, or pages of a book dispersing and falling apart.
For ハン, picture a Han dynasty school where students disperse after class: Han -> ハン.