Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/8
Q:1/8=300
M:2/4
K:G
['G>A BG AG', 'd>e dB AG']  
X:1
L:1/8
Q:1/8=300
M:2/4
K:G
 G>A BG | AG BG | G>A BG | AG E2 | G>A BG | AG Bd | G>A GE | ED D2 :| d>e dB | AG AB | d>e dB | 
 AG E2 | d>e dB | AG AB | G>A GE | ED D2 :|  