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:Ador
['(^g a2) ed']  
X:1
L:1/8
M:2/2
K:Ador
{^G} A |"Am" A,B,CD E2 DC |"G" B,GFG DB,G,B, |"Am" A,B,CD E^GAc |"E7" BA^GB"Am" cAA :| (^g | 
"Am" a2) ed cBA(F |"G" G2) DC B,A,G, (^g |"Am" a2) ed cBAc |"E7" BA^GB"Am" cAA |] (^g | 
"Am" a2) ed cBA(F |"G" G2) DC B,A,G,B, |"Am" A,B,CD E^GAc |"E7" BA^GB"Am" cAA |]  