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Minimum on-off time for digital timers is usually 1 minute.
Minimum on-off time for plug-in-type 24-hour analog timers is 1/4 hour or 1/2 hour depending on width of tripper-pin-segment.
Minimum on-off time for plug-in-type 7-day analog timer is usually 3 hours.
Plug-in vacation timers are set for random on-off and cannot be set.
Minimum on-off time for box timers with 24 hour dial and wide tripper is 1 to 1-1/2 hours
Minimum on-off time for box timers with 24 hour dial and narrow tripper is 1/4 hour.
Minimum on-off time for box timers with 7-day dial is usually 3 hours
Open following link for information how to set analog timers
http://waterheatertimer.org/How-to-set-timers.html