Craft a musical piece that integrates the provided melodic theme and the corresponding alphabetical pattern.
X:1
L:1/8
M:6/8
K:Amin
['', 'eAA AGE GAFGED cBc ege', 'eaa age gaf ged cBc']  
X:1
L:1/8
M:6/8
K:Amin
 g |: eAA AGE | GAFGED | cBc ege | def ged | eAA AGE | GAFGED | cBc ege | dBG A2 g :: eaa age | 
 gaf ged | cBc ege | def ged | eaa age | gaf ged | cBc e3 | dBG A2 g :|  