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To execute a script on the next full minute I want to tell the sleep command to sleep until the next full minute. How can I do this?

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Ask for the date in seconds: date +%s and calculate the reminder of the devision with 60 (modulo: %). If you calculate 60 minus the modulo you get the remaining seconds to the next full minute. You could change this to wait until the next full hour (change 60 to 3600).

sleep $((60 - $(date +%s) % 60)) &&
<yourscript>

To just sleep until the next full minute you can even make it shorter (without the modulo):

sleep $((60 - $(date +%S) )) &&
<yourscript>

Also be aware of this question and answer: sleep until next occurence of specific time.

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    This computation is overkill, since date provides not only "seconds since epoch" but also plain "seconds". So sleep $((60 - $(date +%S) )) suffices. – Janis Apr 6 '15 at 19:22
  • good to know that it always can be done shorter, I will edit it. But for every other timespan you will need seconds since epoch, right? – nnn Apr 7 '15 at 5:46
  • For a hypothetical other question than the one asked, yes. But be aware that date's format specifier %s (lower case) is also non-standard. – Janis Apr 7 '15 at 11:21
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sleep $(( 60 - 10#$(date +%S) )) sleeps until the next full minute. Don't forget the 10# prefix! Otherwise your code will interpret "08" and "09" as invalid references to an octal number.

Or you can prevent the date command from padding the seconds with '0' by following the '%' with '-' sleep $(( 60 - $(date +%-S) ))

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