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:A
['E3 EFA c2 B2 AF E3 FEC', 'B3 a3 afe fbb baf eaA cBA', '[AE]3 Fdc B3 c3 efe a3 cea']  
X:1
L:1/8
M:6/8
K:A
|: E3 EFA | c2 B2 AF | E3 FEC | B,2 A,2 CE | FEE c2 B | Ace a3 | Acf efa | cBB B3 :: a3 afe | 
 fbb baf | eaA cBA | cee e2 a | fec B2 c | EcE BAF | Acf efa |1 cBB B3 :|2 cBB B2 |: f | 
 fec [AE]3 | Fdc B3 | c3 efe | a3 cea | c'ba b3 | a/b/c'a f3 | Acf efa | cBB B2 :|  