Hexadecimal time

Hexadecimal time is the representation of the time of day as a hexadecimal number in the interval [0,1).

Nystrom's "Tonal Watch, or Clock-dial". Note the use of his invented digits for hex values 9-F. Also midnight (hour 0) is at the bottom, rather than the top of the clockface.
A hexadecimal clock-face

The day is divided into 1016 (1610) hexadecimal hours, each hour into 10016 (25610) hexadecimal minutes, and each minute into 1016 (1610) hexadecimal seconds.

History

This time format was proposed by the Swedish-American engineer John W. Nystrom in 1863 as part of his tonal system.[1]

In 1997, the American Mark Vincent Rogers of Intuitor proposed a similar system of hexadecimal time and implemented it in JavaScript as the Hexclock.[2]

Implementation

A day is unity, or 1, and any fraction thereof can be shown with digits to the right of the hexadecimal separator. So the day begins at midnight with .0000 and one hexadecimal second after midnight is .0001. Noon is .8000 (one half), one hexadecimal second before was .7FFF and one hexadecimal second before next midnight will be .FFFF.

Intuitor-hextime may also be formatted with an underscore separating hexadecimal hours, minutes and seconds. For example:

Clock
Hex Hex (Boardman) ISO 8601 Comment
.0100 0_10_0 00:05:37.5
.0200 0_20_0 00:11:15
.0400 0_40_0 00:22:30
.0800 0_80_0 00:45:00
.1000 1_00_0 01:30:00 1.5:24 = 1:16 = 0.1
.8000 8_00_0 12:00:00 12:24 = 8:16 = 0.8
.F000 F_00_0 22:30:00 22.5:24 = 15:16 = 0.F
.F800 F_80_0 23:15:00

Conversions
Hex hexsec
base 16		 hexsec
base 10		 Traditional
1 day =10000 =65536 =24 h
1 hexadecimal hour =1000 =4096 =1 h 30 min
1 hexadecimal maxime =100 =256 =5 min 37.5 s
1 hexadecimal minute =10 =16 =21.09375 s
1 hexadecimal second =1 =1 =1.318359375 s
1 second =0.C22E4 =0.75851 =1 s
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gollark: Because it can basically only serve static files.
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See also

References
  1. Nystrom, John William (1862). Project of a New System of Arithmetic, Weight, Measure and Coins: Proposed to be Called the Tonal System, with Sixteen to the Base. Lippincott. p. 105.
  2. "Intuitor Hex Headquarters, The Hex Clock". www.intuitor.com. Retrieved 2020-04-02.
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