Develop a musical composition that includes the supplied motif while following the designated alphabetical pattern.
X:1
L:1/8
Q:1/8=120
M:4/4
K:G
['A BdeB d2 d2 BdeB A2 G2', 'B2 e2']  
X:1
L:1/8
Q:1/8=120
M:4/4
K:G
|:"^A" A | BdeB d2 d2 | BdeB A2 G2 | GBB(3B/c/B/ A2 e2 | d2 D2 G3 ::"^B" A | B2 e2 d4 | B2 e2 A4 | 
 c2 (3BcB A2 e2 | d2 D2 G3 :|  