Develop a musical composition that includes the supplied motif while following the designated alphabetical pattern.
X:1
L:1/16
M:2/4
K:G
['G2g2 edeg']  
X:1
L:1/16
M:2/4
K:G
 (BA) |"G" G2g2 edeg | B2(B^A) B2(B=A) | G2g2 edeg |"D7" A2(A^G) AcBA |"G" G2g2 edeg | 
 B2(B^A) B2d2 |"D7" e2>f2 e2>f2 |"G" gedB"D7" A2 :: (BA) |"G" GABc dBGA | B2(B^A) B2(B=A) | 
 GABc dBGB |"D7" A2(A^G) AcBA |"G" GABc dBGA | B2(B^A) B2d2 |"D7" e2>f2 e2>f2 |"G" gedB"D7" A2 :|  