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
['', 'a2 e edc', 'A2 B c>Ac cAc (d<B)d dBd |1,3']  
X:1
L:1/8
M:6/8
K:Amix
 c/d/ |:"A" e3 e>cA | ecA"G" Bcd |1,3"A" e3 e>cA |"G" Bcd"^(E)" cBA :|2,4"A" (e<a)e"D" fed | 
"E" cdB"A" A2 :| c/B/ |:"A" A>ce Ace |"D" A>df Adf |1,3"A" A>ce Ace |"G" Bcd"^(E)" c2 B :|2,4 
"A" (e<a)e"D" fed |"E" cdB"A" A2 :| e |:"A" a2 e edc | a2 e edc |1,3 a2 e edc | 
"G" Bcd"^(E)" cBA :|2,4"A" (e<a)e"D" fed |"E" cdB"A" A2 :| B |:"A" c>Ac cAc |"G" (d<B)d dBd |1,3 
"A" (c<A)c cAc |"G" (B<G)B Bcd :|2,4"A" (e<a)e"D" fed |"E" cdB"A" A2 :|  