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We have to set a textbook -- called "midlevel" by the publisher -- for classical Greek.
It occurred to me if we use a character style for the Greek, one option under the advanced features is a language setting -- which I would suppose has some affect on hyphenation.
But classical Greek is perforce polytonic Greek, and I don't know if the InDesign Greek hyphenation dictionary is set up to include that. If so, it would at least cut down on the handwork...