Construct a musical piece that follows the designated lettered structure and integrates the provided motif throughout.
X:1
L:1/16
M:3/4
K:F
['F3 E']  
X:1
L:1/16
M:3/4
K:F
 (G3 E) | F3 E C3- C B,3 G | (G3 A) B4 A3 G | F3 E C4 (B,3 C) | C8 B,3 B, | B,3 B, C3 C c4 | 
 B3 A G4 (F3 E) | F3 F B4 A4 | G8 C3 D | _E3- E c4 c3 c | B3 A G4 G3 A | (B3 A) F3 F E3 F | 
 G3 (A) B8- | B8 A3 G | F3 E C3 C B,3 G | G3 A B3 B A3 G | F3 E C4 B,3 C | C8 ||  