Construct a musical piece that follows the designated lettered structure and integrates the provided motif throughout.
X:1
L:1/8
M:4/4
K:A
['E<C F2', '(A>e)(c>e) (A>e)(c>e)']  
X:1
L:1/8
M:4/4
K:A
 A,>B,C>D E<C F2 | E<C F2 E<CC<A | A,>B,(C>c){e} (d>c)d>e | (3fed (3cBA (3GFE (3DCB, | 
 A,>B,C>D E<C F2 | E<C F2 E<CC>c |{e} (d>c)(d>f) e<Ac>e | (3fed (3cBA G<BB || c | 
 (A>e)(c>e) (A>e)(c>e) | (A>e)(c>e) (3Ace (3fga | (A>e)(c>e) (A>e)(c>e) | (3fed (3cBA G<BB>c | 
 (A>e)(c>e) (A>e)(c>e) | (A>e)(c>e) (3Ace (3efg | (3agf (3edc (3fed (3cBA | 
 (3dcB (3cBA (3GFE (3DCB, ||!fine! A,8 |]  