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:D
['EA, A,2', 'BAFE DEFA Bcde fedf eB B2 d2']  
X:1
L:1/8
M:4/4
K:D
 DEFD G3 F | EA, A,2 EA, A,2 | DEFA BAFA | dB B2 BAFE | DEFD GAFA | EA, A,2 EA, A,2 | 
 G,A,B,D EFGA |1 BAFE D3 D :|2 BAFE D3 c || d2 cd BA A2 | DEFA BAFE | DEFA Bcde | fedf eB B2 | 
 d2 cd BA A2 | DEFA BAFD | A,B,DE FABc | dBAF D3 c :|  