Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/8
M:2/4
K:G
["dg Tgf/g/ (b2 b)a/g/ c'afd", 'd2 e^e']  
X:1
L:1/8
M:2/4
K:G
 dg Tgf/g/ | (b2 b)a/g/ | c'afd |{a} (g/f/g/)b/ aa | dg Tgf/g/ | (b2 b)a/g/ | c'afd | g3 || A | 
 d2 .e^e | f2 .e.d | .c.g.f.e | .f.e.d.A | d2 .e.^e | .f2 .e.d | .c.a .g.b | a2 aA | d2 e^e | 
 f2 ed | ^cgf^e | f=edA | d2 e^e | ffed | ^c a2 ^g/b/ | ab/a/ (g/f/g/)e/ ||  