Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/8
M:4/4
K:C
['A G2']  
X:1
L:1/8
M:4/4
K:C
 ^F G^G |"A" A=GEA- A G2 E | AGEA- A4 |"D" AA^FD A F2 D | A^FDA- AGA^A |"G" B^AB=A- A G2 G | 
 B^ABG- G2 G2 |"C" cBcA- A G2 E | cBcA- A^FG^G |"A" A=GEA- A G2 E | AGEA- AGFE |"Dm" D^CDE FEFG | 
"F" A2 FA- ABcd |"C" e4 e3 d |"F" c2 A2"C" G2 ^FG |"D" AcAc"G" B2 G2 |"C" c2"E" B2"A" A2 ^FG | 
"D" AcAc"G" B2 G2 |"C" c4 z |]  