Construct a musical composition following the given alphabetical structure and incorporating the specified motif.
X:1
L:1/4
M:4/4
K:F
['A2 G']  
X:1
L:1/4
M:4/4
K:F
 c2 d c | F2 F F | A2 G F | C2 z D | (F G) F D | (C D) F2 | A2 G G | F3 F | A c d c | F2 z F | 
 A2 G F | C2 z D | (F G) F D | (C D) F F | A2 G G | F4 |]  