Construct a musical piece that follows the designated lettered structure and integrates the provided motif throughout.
X:1
L:1/8
M:2/2
K:D
['', '(F/E/D) BDAD (G/F/E)']  
X:1
L:1/8
M:2/2
K:D
"A" |: A |"D"{c} d2 (fd) AFDF |"D" d2 (fd)"A7" (e/f/g) (fe) |"D"{c} d2 (fd)"Bm" AFD(F | 
"Em" GE)FD"A7" CEE :|"B" |] A |"D" (F/E/D) (AD)"G" BDAD |"D" (G/F/E) (FD)"A7" CEEG | 
"D" (F/E/D) (AD)"G" BDAD |"A7" (G/F/E) (FD)"D" A,DDA |"D" (F/E/D) (dD) cDBD | 
"D" A(D F/E/D)"A7" CEEG |"D" FAd(f"Em" ec)dB |"A7" A(FGE)"D" FDD |]  