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Measurement Systems
By
Peter Glen

   We have a great many numbers and measuring systems around us. Most of it we take for granted. But if we think about it, why 24 hours a day? Why seven days a week? Why 360 degrees to the circle? Read on for the answers.

   The 360 degrees to a circle was a hard one to get used to. Being raised with the ten based common numbering system, the 360 just stood out like a sore thumb. But the reason is very simple. One year is 365 days. The earth rotates a whole circle in that period of time. Which means the earth progresses on its orbit around the sun one degree a day.  The stars are offset by one degree every night. While we cannot easily perceive this, putting a solid marker in the ground and observing the relation of the stars relative to that is very distinct. One degree.
 
    A natural question arises. Why not 365 degrees to the circle. Again, the simplest answer is sought for. It is so much easier to work with 360 then 365. The former is divisible by a great many more common factors then latter. And making that rounding introduces a very small error. 365/360 which amounts to 1.38% deviation.

    The 24 hour day. This is such an ancient assignment, that we can only speculate. Looking around in nature, finding something that has a predictable hour of cycle time was not easy. Especially, something that reproduces itself on a global scale. We know, the ancients where following nature accurately, they based every other measuring system on nature's display.

   I started to observe the tides on the ocean. And it hit me. The tide is shifting every day by one hour. The rest of the thought process is easy. The ancients marked their timing to reflect one unit as the timing shift of the tides. We know, that the tides take 28 days to repeat, so the tide shifted in 1/28 of a day. Again, simplicity suggested to pick the number close to it with the most number of prime numbers. This is 24. The hypothetical error margin: 16%

    The seven day week. Textbook claims that the egyptians where the one who established it as a unit of measuring a week. While building the pyramids, they observed the biorhythm of the workers. Assumed that they are most productive when they have a resting day every seven days. It goes contrary to our five day work week. This assumption is too dependent on the human factor. As we observe on every other measuring system, it always observes the nature factor.

  We still theorize about the seven day week. Maybe the 28 day moon phase, partitioned into four quarters is the answer to the 7 days. Maybe the future will hold some unexpected answers.

  The thirty (and a half) day month. The moon makes approximately 13 orbital cycles in a year. Again, this is a number that is not readily divisible by many factors. So we partitioned the year into 12 cycles. This results in a 30.4 days per unit. This is why our months range between 30 and 31 days. The leap month is the exception. The earth does not rotate around exactly in sync with its orbit around the sun. It rotates 365 1/4 times. The 1/4 times adds to a whole day after four years, hence we add a day to our leap month. (february)  Why do we bother to correct this 1/4 offset? Many measurements of ours depends on time. The  shortest day of the year the longest day of the year are expected to fall on certain dates. Our corrections make sure it happens the way we expect it.

E-White Paper (C) 2002, by Peter Glen, Listed in the International Who's Who of Information Technology.

Copyright © by Peter Glen, 2007