The tick duration must be positive. If it has a part smaller than a whole millisecond, then the whole duration must divide into one second without leaving a remainder. All normal tick durations will match these criteria, including any multiple of hours, minutes, seconds and milliseconds, and sensible nanosecond durations, such as 20ns, 250,000ns and 500,000ns.
Bolter, David J. Turing's Man: Western Culture in the Computer Age. The University of North Carolina Press, Chapel Hill, N.C. (1984). ISBN 0-8078-4108-0 pbk. Very good, readable summary of the role of "the clock" in its setting the direction of philosophic movement for the "Western World". Cf. picture on p. 25 showing the verge and foliot. Bolton derived the picture from Macey, p. 20.

This 32-1/2" large wall clock's dial is aged with black Arabic numerals, and features an antique pendulum visible through peep hole. Aged black minute and hour hands with a red second hand complete the look. Lightly distressed finish in Hampton Cherry make this with glass crystal. A handsome large wall clocks with pendulum. Quartz, battery operated movement. One Year Warranty.

Similar to our #8 selection, this app uses a gradual brightness increase to slowly wake you out of your sleep, before laying down the hammer and buzzing to wake you up. If you’re waking up angry or abruptly (more on this in a moment), then this is the perfect trick to keep ahead. Just ensure your alarm clock also has a USB charging slot to keep your phone nearby. This works well if you position it differently than your gradual light alarm clock, as if you’re getting two sunrises instead of one.
Stay on schedule and charge a range of devices with this innovative iHome dual-alarm clock. Place your compatible smartphone on top of the Qi-certified device for swift wireless charging, or plug your phone into the clock’s handy powered USB port. This iHome dual-alarm clock incorporates NFC technology, so you can connect an array of Bluetooth-enabled devices with a quick touch.
“The alarm is loud with a lower frequency melody which I like since I have high-frequency hearing loss. Guaranteed to wake anyone up when the alarm goes off which is super important to me, especially if I’m using the alarm clock to wake up to catch a flight. … When the alarm goes off, press the large snooze bar on the top to have the alarm go off again in five minutes. Pressing the snooze bar on top at anytime also lights up the numbers and bars on the clock’s face, but the hands are a bit hard to see in the dark since the hands don’t light up. When the alarm on/off switch is turned to the off position, there’s a cute voice that says ‘Good Morning!’ which brings a smile to start the day. We love this clock so much, we plan to buy more to give as gifts. We’re sure the recipients will love it as much as we do.”
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