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
['fe dcAG FGAB (3(=cBA) BG A2 fe', 'd2{e} dc']  
X:1
L:1/8
M:2/2
K:D
 fe | dcAG FGAB | (3(=cBA) BG A2 fe | (3(ded) cA (3(Bcd) AF | GBAF D2 FG | (3(ABA) GB FAEA | 
 DCDE FEFG | A2 d2 (3(Bcd) ec | d2{e} dc d2 :| de | f2 ef gfef | dcAG A2 de | (3(fgf) ef gfec | 
 d2{e} dc defg | (3(agf) (3(gfe) f2 fe | dcde f2 fe | dcAG FGAB | =c2{d} cB c2 Bc | 
 (3(dcB) (3(cBA) BGAF | GBAF [A,D]2 FG | (3(ABA) GB FAEA | DCDE FEFG | A2 d2 (3(Bcd) ec | 
 d2{e} dc d2 :|  