• qantravon@lemmy.world
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      15 hours ago

      For the phrase, “broken” specifically means “stopped”, and the clock is analog. If the hands don’t turn, then they will be correct twice per day.

      • VintageGenious@sh.itjust.works
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        57 minutes ago

        Thanks makes more sense! Idk why the downvotes… Because in the case of an offset it would always be wrong and in the case of a speed change.

        In the general case, with clock speed a and offset b:

        • a x + b ≡ x (mod 12)
        • a x + b = x + 12k

        If a=1, normal speed with offset,

        • b = 12k ≡ 0 (mod 12)

        So it works for any multiple of 12h offset (ie no offset)

        If a≠1,

        • x = (12k - b)/(a-1)

        It isn’t always in a day, so you can end up having to wait multiple days for it to be right