Construct a musical piece that follows the designated lettered structure and integrates the provided motif throughout.
X:1
L:1/8
Q:1/8=232
M:4/4
K:D
['FA GF EF ED CD EG FA', 'ge ce']  
X:1
L:1/8
Q:1/8=232
M:4/4
K:D
|: AG | F2 FD FA GF | EF ED CD EG | FA d2 cd e2 | (3(efd) (3(edB) AG FE | FG FE FA GF | 
 EF ED CD EG | FA dA BG FE | D2 DE D2 :: fg | af df ge ce | fd cd BA FA | BG FG E2 gf | 
 (3(efd) (3(edB) A2 fg | af cf ge ce | fd cd BA GE | FA df ge ce | d2 dc d2 :|  