How best we may modify the Gregorian system of time-keeping?

Just imagine if we would have used a decimal system for the time-keeping also, as being used by us for the distance measurement, it would have taken the world by storm.

Quite uproarious, we would have, perhaps, landed up having 10 months in a year, 10 weeks in a month, 10 days in a week, 10 hours in a day and, probably, 100 minutes instead of 60 minutes in an hour and even 100 seconds in a minute.

We are so well tuned to the Gregorian system of time-keeping that we may never think of adopting any such system as above, ever.

Of course, we keep on hearing some whispers in the corridor – why some years should, at all, have 365 days and some of them 366 days? Why do we have leap years? Is there no way possible to get rid of them? Or why we could not have had all months of the same number of days – some are of 30 days some are of 31 days and, amazingly, one of them of only 28 or 29 days? Why, though, a year runs through 365 or 366 days, 52 weeks run through only 364 days?

No doubt, it gives an impression of being a very lopsided and, so to say, quite inconsistent system of a sort.

Let us talk about the worm of leap years, first.

It looks, as though, our ancestors were not in the habit of thinking straight.

If it were not to have been so they would not have given us a system so ridiculous as to have to measure distances also in miles, each mile having 8 furlongs, each furlong having 220 yards, each yard having 3 feet and each foot having 12 inches as if they were all moon-struck.

Are we not comfortable with the decimal system of measuring distances in kilometres, metres, centimetres and millimetres? It has eased our life so much.

True but the story of time-keeping is really not of the same genre.

It depends on the time the earth takes one full round of the sun. It is approximately 365.242189 days (which may vary by 30 minutes) and may keep on shifting millennium to millennium by 0.06 day per millennium.

But a question arises – who is at fault?

The fault lies in the fact that we defined the duration of the second, first.

It was like putting the horse in front of the cart.

A “second” has been defined as the duration of 9,192,631770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of Caesium 133 atom at a temperature of 0°K.

It is simple mathematics – if, ever, we would have redefined the second as the duration of 365.242189/364 times 9,192,631770 periods, that is, 9,224,002610 periods instead of 9,192,631770 periods of the radiation, the year would have been of only 364 days – which would have given us neat 52 weeks in a “solar year”.

Another problem has been highlighted in the following words at https://en.wikipedia.org/wiki/Tropical_year.

According to Blackburn and Holford-Strevens (who used Newcomb’s value for the tropical year) if the tropical year remained at its 1900 value of 365.24219878125 days the Gregorian calendar would be 3 days, 17 min, 33 s behind the Sun after 10,000 years. Aggravating this error, the length of the tropical year (measured in Terrestrial Time) is decreasing at a rate of approximately 0.53 s per century. Also, the mean solar day is getting longer at a rate of about 1.5 ms per century. These effects will cause the calendar to be nearly a day behind in 3200.

The number of solar days in a “tropical millennium” is decreasing by about 0.06 per millennium (neglecting the oscillatory changes in the real length of the tropical year).[3] This means there should be fewer and fewer leap days as time goes on. A possible reform would be to omit the leap day in 3200, keep 3600 and 4000 as leap years, and thereafter make all centennial years common except 4500, 5000, 5500, 6000, etc.

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1. Edit:
Actually only the years (such as 4000) divisible by 2000 have to be also treated as non-leap years to reduce the gap between the Gregorian year and the tropical year to a mere 0.00019 day per 2000 years – not “the years divisible by 1000 but not by 2000” as mentioned in the blog.