Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/8
M:2/2
K:G
['AD D2']  
X:1
L:1/8
M:2/2
K:G
"Dm" AD D2 EDEG |"Am" AcBG AGEG |"D" AD D2 EDEF |"C" G2 AG EG G2 |"Dm" AD D2 EDEG |"Am" AcBG AGEG | 
"C" c2 cA"G" B2 BA |"C" GBAG EG G2 ::"G" Bddf"D" (3(efg) dB |"C" GABG AGEG |"G" Bd d2"D" efdB | 
"C" G2 AG EG G2 |"G" Bd d2"D" (3(efg) dB |"C" cABG AGEG |"C" c2 cA"G" B2 BA |"C" GBAG EG G2 :|  