Current Idea:
A year is either 365 or 366 days.
Leap years occur for years mod 4 = 0, unless that year mod 64 = 0,
in which case it is not a leap year, unless that year mod 128 = 0,
in which case it is.
(Every fourth year is a leap year.
Every sixtyfourth is not.
Every hundredandtwentyeighth is.
Later rules trump earlier rules.)
This gives an average year length of 365.2421875 days.
In comparison, the tropical year for
19941998 is 365.242190 days.
(Using the traditional 4,100,400 leap year scheme, the
average length is 365.2425 days )
The year starts at what in the old system is Dec 23. This is, on
average, the first day where the day is longer than the night. Due to
leap year inaccuracies, Dec 24 may be this day at times. Yet, we do not
adjust the year to fix this.
All years start on the same day, removing the requirement for
a complicated Doomsdaystyle algorithm to calculate weekdays.
Weeks:
36 10 day weeks, three of whose days are nonworking for most
(similar to Saturday and Sunday of the current calendar), plus
one final mopup week of 5 or 6 days, depending on leap.
Due to the all years start on the same day, this means that the
mop up week will deprive us of days 7,8,9,10 and possibly 6. This is
favorable to the alternative, wherein the week "wraps around" (as in
the current calendar), IMHO.
Hence, set the three "freefromordinarywork" days to be at the start
of the week.
Months:
Here we have two options. Either fix months so that a full moon appears
at the same time each month (subject to leap months), or simply use
them as a larger time unit than a week.
In the first case, each month would be 30 days, except for every other,
except for every twentysecond except for every sixtysixth.
This seems too complicated, and would also have to take the mopup
week into account, although it would be nice to get one more
free day every other month (roughly) due to the first term of the
lunar cycle approximation.
Thus we divide each month into 3 weeks = 30 days. This results in 12
months. The last month will be unusual in that it contains 35 or 36
days depending on leap, instead of just 30.
Years:
We'd like to set the year so that some power of ten is the start of
the universe, and so that years around now have no more than four
digits. However, this requires knowledge of the Hubble constant,
and the uncertainity in this constant is currently too great.
In any case, year 0 is a year. This gets rid of all the "2001 is
the real millennium" "math geek" stuff.
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Hours, Minutes, Seconds:
First, we have to call these units something else as not to confuse
them with ordinary hours / minutes / seconds.
Using simplicity, say Hours', Minutes', and Seconds' (prime units).
Then:
There are 20 Hours' in a day
100 Minutes' in a Hour'
and
10 Seconds' in a Minute'.
This resolves to:
Each hour' is 1.2 hours, or 72 minutes.
Each minute' is 1/100 of that, or 72/100 = 0.72 minutes.
This is equivalent to 60*0.72 = 43.2 seconds.
Each second' is 1/100 of a minute', or 43.2/10 seconds.
This is equivalent to 4.32 seconds.
