Develop a musical piece incorporating the designated alphabet-based pattern and the supplied melodic theme.
X:1
L:1/8
M:2/4
K:Dmin
['AD ED', 'Ad dc/d/ ed']  
X:1
L:1/8
M:2/4
K:Dmin
 AD ED | AD ED | C>D EG | CD EG | AD ED | AD ED | C>E GC | ED D2 :| Ad dc/d/ | ed cG | Ad dc/d/ | 
 ed c2 | Ad dc/d/ | ed cG | AG cC | ED D2 :|  