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:G
['d c>d']  
X:1
L:1/8
M:4/4
K:G
 d |"G" g>e"G7" d<B"C" c>d e>f |"G" g>d"^(C)" d<B"D7" A3 d |"G" g>e"G7" d<B"C" c>d e>g | 
"G" d>c"D7" B<A"G" G3 :: G/A/ |"G" B>B B<G"C" c>c c>A |"G" B>B B<G"D7" A3 G/A/ | 
"G" B>B B<G"C" c>d e>g |"G" d>c"D7" B<A"G" G3 :|  