Craft a musical piece that integrates the provided melodic theme and the corresponding alphabetical pattern.
X:1
L:1/8
M:6/8
K:Dmix
['DEC AGA', 'D3 daf ded cde gag ged c3']  
X:1
L:1/8
M:6/8
K:Dmix
 AGA DEC | AGA c2 G | AGE C3 | G,CC G,CC | AcA DEC | AGA cge | dcA GEG | A2 D D3 :| daf ded | 
 cde gag | ged c3 | Acc Gcc | dfA d3 | cde g2 e | dcA GEG | ADD D3 :|  