• qantravon@lemmy.world
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    19 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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      6 hours 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