Why it's such a rare occasion
By
GAVIN BENNETT
Today
is the most unique day on the calendar.
February 29 has occurred only 103 times in
history, and only 14 of those occasions have
been a Sunday. That makes today pretty
unusual.
But
while many much more "common" days
– like Christmas and New Year – cause a
global frenzy, Sunday, February 29, 2004,
for all its rarity, will pass virtually
unnoticed.
To
the best of my knowledge, it will be
celebrated only as "World Hash
Day", like every other February 29, by
that rag tag army of folk who call
themselves "The Hash House
Harriers".
It's
a sort of club, with no formal membership or
subscription. The "Hash" in
hundreds of cities throughout the world
(including Nairobi and Mombasa) simply
passes the word around that there will be a
fun run, a sort of joggers mix-in, on a
regular day of each week, in one of the
suburbs.
If
you want to run, you simply turn up at the
appointed rendezvous, say hello, and off you
go. Each week's course is set by someone
with serious lungs and leg muscles, who runs
ahead leaving a trail (of little scraps of
loo paper or little piles of posho).
No
one knows where he's gone, so the Hashers
spread out in all directions looking for the
first trail clue. When someone finds it, he
or she shouts "on, on", or
something, and everyone follows the sound
– and the trail. The best runners tend to
do all the scouting and finding, and the
rest cover a much smaller distance at much
lower speed while waiting for the next shout
and then taking a short-cut. The net result
is that a course of eight to 10 km takes
nearly two hours, and almost everybody,
athlete and arthritic alike, finishes at
about the same time. All then shout
"Jolly Hockeysticks", or
something, agree where they'll meet the
following week, and then go home.
You
will have guessed that such a pastime must
have British origins (the world's most
prolific inventors of peerlessly eccentric
games), but like cricket and football before
it, the "Hash" now has a worldwide
following. Today they'll all be saying
hello, on-on, and jolly hockeysticks in
unison – as they scale the Mt Longot.
And
that is perhaps appropriate, for February 29
is quintessentially eccentric; always has
been and always will be. It's completely
crazy. It's also incredibly important.
If
February 29 was not necessary, we would not
exist. Let me explain:
The
first precise measure of time man discovered
was the Day. The time it took for the earth
to rotate once on its own axis. This is
exact, consistent, and it relates to our
natural physical environment. No problem
with the Day.
And
no problem with how we divide up that Day
into smaller parts; the concepts of hours,
minutes and seconds are pure human invention
(based on equally arbitrary degrees of
angle) and all we have to do is agree what
they are and have a way of defining them.
It's just a pity we didn't choose 10 hours,
each containing 10 minutes, each divided
into 100 seconds.
No
problem, either, if we just invented terms
and definitions for collections of Days –
ideally, 10 days = 1 week; 10 weeks = one
month; 10 months = one year. Everything
would then be related, precisely, to the
natural, physical, real, Day. Metrically.
Unfortunately,
in our search for bigger time blocks than
the Day, we discovered the Moon and the Sun
before we invented metric maths.
We
worked out how long it took for the Moon to
go round the Earth once, and how long it
took the Earth to go round the Sun.
Had
there been an exact number of Days in the
Moon's orbit, and an exact number of Days
and/or lunar cycles in our regular circuit
of the Sun, we could have had a very
sensible calendar – not metric, but
manageable.
Unfortunately
there are 27.3 days in a moon cycle, and it
takes the Earth 365.2422 days to orbit the
Sun. Any attempt to have all three units –
Days, Moons and Suns – in the same
calendar was arithmetically doomed. Yet that
is what man did, continued to do, and still
does.
Julius
Caesar and his astronomer buddy Sosigenes
tried to repair the cumulative damage by
announcing one year (the one we call 46 BC)
would have 445 days and that every third
year thereafter would be a Leap Year. Thus
began the Julian Calendar.
Interestingly,
46 BC became known as "the year of
confusion", and the Leap Year frequency
meant calendars were gaining on real solar
time by 2 hours and 11 minutes. With a
fellow whose name sounded like Sausage Knees
in charge of the abacus, the mad maths is
hardly surprising.
In
8 BC, Emperor Augustus cut the error to 11
minutes by revising the Leap frequency to
every fourth year, but by the 16th Century,
even that little quirk had accumulated to an
error of 11 days.
So
in 1582, Pope Gregory XIII decreed that
October 4 should be immediately followed by
October 15, and with a nifty bit of
foresight he built in a future correction by
saying that the years 1700, 1800 and 1900
(the century years not divisible by 400)
would not be Leap Years – cutting the
error to about 4 minutes. The fact this idea
came from Rome caused riots in the
Protestant world who wanted their 11 days
back, but quite quickly the Gregorian
Calendar became, and remains, the one we
hang on the wall.
We?
Well, Christendom and commerce. Muslims'
years have between 354 and 355 days each and
their Year Dot is approximately 0.622
Millennia later than Greg's; the Jewish
Calendar varies from 353 to 385 days per
year; the Chinese Calendar (banned in China
since 1930 but still used elsewhere in SE
Asia) runs on a 60-year cycle.
And
those are the variants even among linear
time cultures (Judaism, Christianity, Islam)
which posit that things have definite
beginnings and ends, that time progresses
from A-Z and therefore significant
historical moments occur on the way towards
an ultimate purpose; but there are big
chunks of humanity who belong to cyclical
time cultures – Hindus, Buddhists, Sikhs
– whose perspective of time is an
unbeginning and unending chain, a repetitive
cycle, a constant reiteration of eternal
truths, with no unique events in time.
Personally,
I can grasp the "Day" bit – the
time it takes the world to rotate once. It's
the same, every time, all the time.
I
can also grasp the "Year" bit –
the time it takes the world to orbit the sun
once. It's the same, every time, all the
time, I think.
It's
also not too difficult to understand the
"Moon" bit – the time it takes
the moon to orbit the earth once. It's the
same every time, all the time.
But
three things stagger the imagination. First,
how old Sausage Knees managed to work all
that out so exactly 2,050 years ago! And
second, what possessed anyone of such
obviously remarkable intelligence to try to
put the day and the year on the same
calendar, when they knew the two things
would never synchronise; and then why did
they divide that impossible calendar into
unequal fractions called months, which did
not synchronise with the moon and had an
irregular number of days in each one. And
third, why, two millennia later, when we
have progressed science to such a degree we
can measure femtoseconds, do we persist with
this diabolical dogs' dinner of a date
system.
Femtoseconds?
Yes. You know, one millionth of one
billionth of one second.
The
actual time used to be a really tough call
between the sun dials of 3500 BC until the
first mechanical clocks of the 14th Century
that were driven by falling weights; or the
first watches of the 16th Century that used
coil springs; or the Regulator Clocks of the
17th Century which used pendulums; the
Marine Chronometers of the 18th Century that
didn't have to be upright; the Quartz Clock
of 1929; the highest-tech digital clocks of
today that are accurate to within – 1
second every 10 years.
We
can now do better than that . . . with the
atomic clock, which is accurate to within 1
second every 1.7 million years because it
can count the number of periods of radiation
(vibrations) of an atom of Caesium 133 –
the answer is 9,192,631,770 times per
second. That means we can have femtoseconds
– a millionth of a billionth of a second.
To
put that in perspective for you; in one
second, a pulse of light can travel almost
to the moon. In 100 femtoseconds, it travels
the thickness of a human hair. We can
measure one femtosecond.
What,
pray tell, is a species with a brain large
enough to manage that doing with a thing
called February that sometimes has 28 days
(which is wrong) and sometimes has 29 days
(which is intended to put it right, but
doesn't)?
It
isn't nature that has messed up things here.
We should be very grateful that year is not
precisely divisible by an exact number of
days. For it to be so would require the
earth to be either a bit nearer or a bit
further from the sun, so its orbit was very
slightly shorter (exactly 365 days) or
slightly longer (366 days).
But,
as any physicist or astronomer or
meteorologist would tell you, that tiny
change would have completely altered the
evolution of our planet. Human beings, for
example, probably would not exist.
So
anybody out there who is pleased and proud
to be a human being has cause to give thanks
for the "February 29th" syndrome.
In a way, it helps make us what we are.
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