If one were designing "analog" watch which was accurate enough to make the display of leap seconds worthwhile, and if it stepped quickly from one second to the next, I think the right approach would be to (1) provide a separate scale for the second hand,
which has 61 seconds and (2) for the vast majority of minutes, jump suddenly
from second 59 to second 0 without stopping on second 60.

Of course, such a watch would not really be analog, it would be digital with the display
being by means of hands rather than Arabic numerals.

Gerard Ashton
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