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:Amix
['A>AA AAA', 'e2 d cAc', 'BGB A2', 'aAa gAa aAa gAg BGB A2 a']  
X:1
L:1/8
M:6/8
K:Amix
 A>AA AAA | d2 c BGB | A>AA AAA | g2 f eea | A>AA AAA | d2 c BGB | A2 a eAe | dGB A2 c :| 
 e2 d cAc | d2 c BGB | e2 d cAc | cae cAc | e2 d cAc | d2 c BGB | A2 a eAe |1 dGB A2 c :|2 
 dGB A2 e || A2 e eAe | dGd BGB | A2 e eAe | fAf eAe | fAf eAe | dGd BGB | A2 a eAe |1 dGB A2 e :|2 
 dGB A2 c || Aaa aAa | gAg BGB | A2 a aAa | gAa aAa | gAa aAa | gAg BGB | A2 a eAe |1 dGB A2 c :|2 
 dGB A3 ||  