Construct a musical composition following the given alphabetical structure and incorporating the specified motif.
X:1
L:1/16
M:2/4
K:Amix
['edef g2ed', 'f2e2 e2g2']  
X:1
L:1/16
M:2/4
K:Amix
 Bd | edef g2ed | B2AB G2Bd | edef gefd | e4 A2Bd | edef g2ed | BABd e2g2 | a2ge g2dB | B2A2 A2 :: 
 ag2 | f2e2 e2g2 | a2d2 d2<d2a2g2 | f2e2 e2g2 | a4 d2ag | f2>e2 e2>d2 | BABd e2>g2 | a2ge g2dB | 
 B2A2 A2 :|  