Construct a musical composition following the given alphabetical structure and incorporating the specified motif.
X:1
L:1/16
M:2/4
K:F
['c2>d2G2A2 AGFD']  
X:1
L:1/16
M:2/4
K:F
 dd2df2dc | dcBA G4 | c2>d2G2A2 | AGFD D4 | d2>c2d2c2 | d2cA G4 | c2>d2G2A2 | AGFD D4 | d2>d2f2dc | 
 dcAGAGF2 | A2AGF2FG | A2dd2<G2A | c2>d2G2A2 | AGFD D4 | d2>c2d2c2 | d2cA2<G2F | c2>d2G2A2 | 
 AGFD D4 |]  