Construct a musical piece that follows the designated lettered structure and integrates the provided motif throughout.
X:1
L:1/8
M:3/4
K:G
['D DGA Bdc BAG D2 E C>CC', 'ABc dBd g2 f e3 d2 B', 'ABc BAG F2 G G3 CDC B,DG']  
X:1
L:1/8
M:3/4
K:G
 D | DGA | Bdc | BAG | D2 E | C>CC | EGF | E3 | D2 D | DGA | Bdc | BAG | D2 E | C>CC | EFG | A3- | 
 ABc |: dBd | g2 f | e3 | d2 B | ced | cBA | B>cB | ABc :| BAG | F2 G | G3 | CDC | B,DG | FEF | 
 G3- | G2 D ||  