Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/8
Q:1/4=60
M:4/4
K:A
['Bf f>e']  
X:1
L:1/8
Q:1/4=60
M:4/4
K:A
 Bf f>e d d/e/f B | Bf f>e dc/B/ d2 | Bf f>e d d/e/f B | Bf f>e d/c/B/A/ B2 | fg e>f ga/g/ fe | 
 ff/=g/ f>e de f2 | fg e>f ga/g/ fe | ff/=g/ f>e d/c/B/A/ B2 |]  