this post was submitted on 05 Feb 2025
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[–] qantravon@lemmy.world 10 points 15 hours ago (1 children)

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 1 points 2 hours ago* (last edited 2 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