Craft a composition that integrates the assigned alphabet-related musical pattern and the provided melodic theme.
X:1
L:1/16
M:4/4
K:Ador
['[AA]2 [Ac][AA][AB][AA] [Ac][AA][AA][AA] cAE=F G2G2 [GB]G[GA]G [GB]G[AG]G']  
X:1
L:1/16
M:4/4
K:Ador
 [AA]2 | [Ac][AA][AB][AA] [Ac][AA][AA][AA] cAE=F G2G2 | [GB]G[GA]G [GB]G[AG]G E(GA2) [AA]2[AA]2 | 
 [AA]2 | [Ac][AA][AB][AA] [Ac][AA][AA][AA] cAE=F G2G2 | [GB]G[GA]G [GB]G[AG]G E(GA2) [AA]2[AA]2 | 
 ABcd e2g2 edBc d2f2 | (df)(ed) B2(AG) E(GA2) [AA]2A2 | (AB)(cd) e2g2 [Ae](dBc) d2(ef) | 
 gaba gded | B(GA2) [AA]2 ||  