Construct a musical piece that follows the designated lettered structure and integrates the provided motif throughout.
X:1
L:1/8
M:6/8
K:G
['A2 G']  
X:1
L:1/8
M:6/8
K:G
 DB G A2 G E | D GE DB, D | G GE GG C | G GD BG A2 | GEDG ED | B,D B,G ED | B,A, G,F, G,2 | 
 D BG A2 G | E DG ED B, | D GG EG G | C GG DB G | A2 G ED GE | DB, DB, GE | 
 DB, A,G, F, G,2 F, E,D, E,G, B, | D GA BA G | A BA GE G | D EG B,A, G, | F, E,D, E,G, B, | 
 D GA BA G | A BA GE G | B, A,G, F, G,3 |]  