Terry,
Tapes such as you describe are a nightmare for collectors. Apart from white tapes worn by officer cadets there are no general rules that apply as units used them to identify all sorts of roles, cadres, training units etc, their meaning only known locally.
I'm not aware that the Gunners wore Battery markings but 54 Bty is the man to answer that question.
Sorry I can't be more help.
Jon
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