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
['e/ d/']  
X:1
L:1/8
M:2/4
K:G
 G d e/ d/ e/ d/ | d e/ d/ B2 | d3 e | B B e/ d/ B- | B4 | e/ e/ d e/ d/ B | e d2 e | B4- | B4 | 
 e d B/ d/ e/ d/ | G d e/ d/ B | d3 e | d3/2 e/ G d | B4 | e d B d- | d3 e | B4- | B4 |]  