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:C
['g/f/ ece ece dBd def (e/4f/4g3/2)e fdB', 'g/a/ _b3 agf efg gec']  
X:1
L:1/8
M:6/8
K:C
 g/f/ | ece ece | dBd def | (e/4f/4g3/2)e fdB | ccc c2 :| g/a/ | _b3 agf | efg gec | _b3 abc' | 
 d>ed d2 g/a/ | _b3 agf | efg gec | (3e/4f/4g3/2e fdB | ccc c2 ||  