Develop a musical piece incorporating the designated alphabet-based pattern and the supplied melodic theme.
X:1
L:1/8
M:6/8
K:G
['DBA B2 d edB AGF GBA B3', 'G3 e2 g edg edg ed^c d3']  
X:1
L:1/8
M:6/8
K:G
 DBA B2 d | edB AGF | GBA B3 | AGE EGE | DBA B2 d | edB AGF | GBA B3 | AGF G3 :| e2 g edg | 
 edg ed^c | d3 dge | dge dBG | cEc dFd | gdB AGF | GBA B3 | AGF G3 :|  