Design a music composition that incorporates the given motif, while maintaining the essential musical format.
X:1
L:1/8
Q:1/4=120
M:2/2
K:A
['A2 A2', 'g>fe>g a>gf>a g>fe>g fe^dc B2 AG GBdg'  
X:1
L:1/8
Q:1/4=120
M:2/2
K:A
"^*" E2 | A2 (3cBA G>BE>G | A>ce>c | a>ec>A | F>Af>e d>cB>A | (3BcB (3AGF E>dc>B | 
 A2 (3cBA G>BE>G | A>ce>c a>ec>A | F>fe>d c>AB>G |1"^**" A2 A2 A2 :|2 A2 A2 A4 |: B>e^d>f e>gf>a | 
 g>"^*"e (3fga g>fe>g | a>gf>a g>fe>g | fe^dc B2 AG | Acea"^as written" GBdg | (3EAc df eBGB | 
 eagf edcd | e^def edcB"^D Capo" :|  