Craft a musical piece that integrates the provided melodic theme and the corresponding alphabetical pattern.
X:1
L:1/8
M:6/8
K:G
['g G2 G GAB B3 cBc Adc', 'cec BdB']  
X:1
L:1/8
M:6/8
K:G
 g | G2 G GAB | cdc"^tr" B3 | cBc Adc | BGG G2 g | G2 G GAB | cdc"^tr" B3 | cBc Adc | BGG G2 :: B | 
 cec BdB | A2 A F2 F | G2 G GAB | cdc"^tr" B3 | cec BdB | AcA F2 f | gfg ABc | BGG G2 :|  