Construct a musical piece that follows the designated lettered structure and integrates the provided motif throughout.
X:1
L:1/8
Q:3/8=120
M:6/8
K:G
['(B/c/) (dB).B (BG).G (cA).A (AF).D (DG).G (FA).A', 'd (gf).e d2 B (ed).c (Bc).d']  
X:1
L:1/8
Q:3/8=120
M:6/8
K:G
 (B/c/) | (dB).B (BG).G | (cA).A (AF).D | (DG).G (FA).A | (GB).B A2 (B/c/) | (dB).B (BG).G | 
 (cA).A (AF).D | (DG).G (FA).A | (BG).G G2 :: d | (gf).e d2 B | (ed).c (Bc).d | (ec).A (dB).G | 
 (FA).F D2 d | (gf).e d2 B | (ed).c (Bc).d | (ef).g (fe).d | (e"^D Capo" d).c d2 :|  