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:D
['E F2']  
X:1
L:1/8
M:6/8
K:D
 A, | D2 D D2 F | A2 F D2 D | E2 E E2 ^D | E2 ^D E2 E | F2 F F2 ^E | F2 ^E F2 ^E | F2 E F2 E | 
 F2 E F2 E | F2 E F2 E | F2 E F2 E | FG A D2 C | B,2 B A2 C | D2 .D2 x2 |]  