Construct a piece of music by converting the stated musical sequence into an alphabetical format and integrating the supplied motif.
X:1
L:1/8
M:6/8
K:G
['BAB dBA G2 B', 'dge dge']  
X:1
L:1/8
M:6/8
K:G
 A | B2 B BAB | dBA G2 B | d2 d d2 B | ded B2 A | BcB BAB | dBA G2 B | ded cBA |1 G3 G2 :|2 
 G3 GBd || g2 g f2 f | e2 e edB | d3 d2 B | ded B2 d | g2 g f2 f | efe edB |1 ded cBA ||1 
 G3 GBd :|2 dge dge | dge dBA ||  