Develop a musical composition using both the specified melodic theme and the alphabetical pattern naming.
X:1
L:1/4
M:3/4
K:G
['A G2']  
X:1
L:1/4
M:3/4
K:G
"^1" d2 c |"^2" B2 A |"^3" G2 A |"^4" B2 c | d2 c | B2 A | G2 A | G2 z :|  