However, the rules governing semicolons are somewhat loose. The most important thing is to be consistent.
Semicolons are more common in British writing than in American. In American writing, they're considered somewhat poetic, artsy, old-fashioned, frilly. You'd have a hard time finding one in an American newspaper article, for instance.
So in your example, an American editor would be likely to either use commas (even if there is no and in front of the last item) or break it up into separate sentences.
[I edit copy and have tutored college writing.]
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