Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/8
M:6/8
K:Gmin
['g d2 g']  
X:1
L:1/8
M:6/8
K:Gmin
"^A" g |"Gm" d2 g B2 g |"Gm" d2 g G2 B |"Cm" ABc"^Gm/d" Bcd |"D7" cBA"Gm" G2 g |"Gm" d2 g B2 g | 
"Gm" d2 g G2 B |"Cm" ABc"^Gm/d" Bcd |"D7" cBA"Gm" G2 :|"^B" g |"Cm" e2 g efg |"Cm" c2 e cde | 
"F" ABc"Gm" BAG |"Dm" FGA D2 b |"Gm" g2 b gab |"Cm" e2 g efg |"Dm" fed cBA |"Gm" G3 G2 :|"^C" c | 
"Gm" ded"Cm" e3 |"Gm" ded"Cm" g3 |"Gm" ded"D7" cBA |"Gm" B3"D7" B2 c |"Gm" ded"Cm" e3 | 
"^Gm/bb" ded"Cm" g3 |"^Gm/d" ded"D7" cBA |"Gm" G3 G2 ||  