Construct a musical piece that follows the designated lettered structure and integrates the provided motif throughout.
X:1
L:1/8
M:4/4
K:G
['d2 d>c BG', 'G2 BG AG BG G>A BG A/c/A/G/']  
X:1
L:1/8
M:4/4
K:G
|: d2 d>c | BG G>A | BG A/c/A/G/ | FD D2 | d2 d>c | BG G2 | A/B/A/G/ FD | G2 G2 :: BG AG | BG G>A | 
 BG A/c/A/G/ | FD D2 | BG cA | BG G2 | A/B/A/G/ FD | G2 G2 :|  