Construct a musical composition following the given alphabetical structure and incorporating the specified motif.
X:1
L:1/16
M:2/4
K:F
['f2fg fedc c2>B2 B2G2', 'g2g^f gag=f efed cdef', 'ABcd c2f2', 'f2a2f2 c2 cdef g2g2 ^g2a2 f2c2 ABcd']  
X:1
L:1/16
M:2/4
K:F
 c2 | f2fg fedc | c2>B2 B2G2 | E2EG cdcB | ABAG F2c2 | f2fg fedc | c2>B2 B2G2 | EGce gbge | 
 g4 f2 :: ce | g2g^f gag=f | efed cdef | g2^fg agec | c2ce G2ce | g2g^f gag=f | efed cdef | 
 g2gegfd=B | d4 c2 :: c2 | ABcd c2f2 | a2c'2 bagf | g2g^g g2c'2 | a4 f2c2 | ABcd c2f2 | a2c'2bagf | 
 g2g^f g2c'2 | f2a2f2 :: c2 | cdef g2g2 | ^g2a2 f2c2 | ABcd c2fa | c'2b2 g2c2 | ABcdc2f2 | 
 a2c'2 bagf | g2g^f g2c'2 | f2a2f2 :|  