σκηνή and αντίσκηνο are virtually the same. Some may understand the second as smaller than the first, but there is no lexical definition, as far as i know. Σκηνή and σκοινί sound the same. The latter is also written and pronounced σχοινί.
Of course, σκηνή means tent, but have in mind that this is not the only meaning of the word. It also has the english meanings of (theatrical) stage (since the classical antiquity) and scene (<fr. scène<lat. scaena<ancient Greek σκηνή).