52 - oldbloke's mutterings
This correspondence of suits, seasons, and elements shows up a lot over the centuries, in astrology terms, although I have no idea if that date chart has any reasonable provenance.
I'd be surprised if there isn't a known way of doing it with Mah Jong tiles.
There's an awkward number of tiles, though. 3*9 + 3 + 4, even if you chuck in the flowers and seasons you end up with a daft number.
Map them to acupuncture meridians instead, maybe.