Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/8
M:4/4
K:Edor
['B2 GB', '(3Bcd ef']  
X:1
L:1/8
M:4/4
K:Edor
 B2 GB EBGB | A2 FA DAFA | B2 GB EBGA | (3Bcd BA GE E2 | B2 GB eBGB | A2 FA DAFA | dBBA B2 BA | 
 (3Bcd BA Ge e2 || g2 ef gfed | (3Bcd Ba ge e2 | gfef gefd | Beed (3Bcd ef | g3 e gfed | 
 BzBA GEAG | E3 F G3 A | (3Bcd ef gfed ||  