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Admittedly we'd pretty much have to forget about making the diurnal, solar and lunar cycles into neat multiples of each other at that point.
So we'll have a diurnal day/night plus a day/night from being in Jupiter's shadow. So there's day, night, dark day, and dark night? I'm already excited about making clocks for this.
Sean Raymond, an astronomer, did some of the heavy lifting for you already to figure out how to get the maximum number of planets in the habitable zone of a star.