That's kinda neat although there is an underlying symmetry in the usual system.
5 Han* = Mangan / 6 or 7 Han = Haneman / 8, 9 or 10 Han = Baiman / 11 or 12 Han = Sanbaiman / 13+ Han = Yakuman
That 1/2/3/2/1 pattern is how I always remember it.
If there's one thing that's consistent about the rules of mahjong around the world though it's that there are always inconsistencies! Even within one country and one era there will be countless variants.
I have Yakuman for the DS, released some 16 years after the Game Boy original. That uses the limit system I've listed here with Sanbaiman for 11 or 12 doubles.
If you (ahem) have the manual for the game you could check for info there. Mine has scoring tables in the back.
Yakuman DS gives three options for scoring Seven Pairs: 2 Han and 25 Fu / 2 Han and 30 Fu / 1 Han and 50 Fu.
*(or 4 Han with 40+ Fu, or 3 Han with 70+ Fu)