There are 33 possible ways of defining a 33-year cycle of eight leap years, so that the eight leap years are as evenly-spaced as possible.
In each such cycle there exists a meridian whose local time is such that the Vernal equinox occurs on the same date each year for a long time. I list estimates of these meridians and corresponding timezones. Each of these 33 varieties of the 33-year cycle has a unique year that is the first of four consecutive common years (non-leap years).
If the leap day occurs before the Vernal equinox in a leap year,
then I define the base year as the
first of the four consecutive common years.
If the leap day occurs after the Vernal equinox in a leap year,
then I define the base year as the
second of the four consecutive common years.
This makes the base year be the year that in the local time of the calendar's meridian,
is the first of four consecutive years where the vernal equinox day
occurs 365 days after the previous year's vernal equinox day.
The Dee cycle in which the leap years are those years whose AD number is not divisible by 33 and has a remainder divisible by 4, has year AD 33 as a base year and 1980 is the most recent base year.
Base Year AD VE Meridian Timezone
30 170W UT-11
01 159W
05 148W UT-10
09 137W UT-09
13 127W
17 116W UT-08
21 105W UT-07
25 94W UT-06
29 83W
33 72W UT-05
04 61W UT-04
08 50W UT-03
12 39W
16 28W UT-02
20 17W UT-01
24 7W
28 4E UT
32 15E UT+01
03 26E UT+02
07 37E
11 48E UT+03
15 59E UT+04
19 70E UT+05
23 81E UT+05:30
27 92E UT+06
31 103E UT+07
02 113E
06 124E UT+08
10 135E UT+09
14 146E UT+10
18 157E
22 168E UT+11
26 179E UT+12
Base Year AD VE Meridian Timezone
01 159W
02 113E
03 26E UT+02
04 61W UT-04
05 148W UT-10
06 124E UT+08
07 37E
08 50W UT-03
09 137W UT-09
10 135E UT+09
11 48E UT+03
12 39W
13 127W
14 146E UT+10
15 59E UT+04
16 28W UT-02
17 116W UT-08
18 157E
19 70E UT+05
20 17W UT-01
21 105W UT-07
22 168E UT+11
23 81E UT+05:30
24 7W
25 94W UT-06
26 179E UT+12
27 92E UT+06
28 4E UT
29 83W
30 170W UT-11
31 103E UT+07
32 15E UT+01
33 72W UT-05
The time of day of the Vernal equinox at the local time of the calendar's meridian is approximately determined by the number of years the Vernal equinox occurs after the most recent base year.
The following table gives these approximate Vernal equinox times.
Years after Approx 1/33s of day
Base Year VE time elapsed
0 05:50-06:32 8
1 11:39-12:21 16
2 17:28-18:10 24
3 23:17-23:59 32
4 05:06-05:49 7
5 10:55-11:38 15
6 16:44-17:27 23
7 22:33-23:16 31
8 04:22-05:05 6
9 10:11-10:54 14
10 16:00-16:43 22
11 21:50-22:32 30
12 03:39-04:21 5
13 09:28-10:10 13
14 15:17-15:59 21
15 21:06-21:49 29
16 02:55-03:38 4
17 08:44-09:27 12
18 14:33-15:16 20
19 20:22-21:05 28
20 02:11-02:54 3
21 08:00-08:43 11
22 13:50-14:32 19
23 19:39-20:21 27
24 01:28-02:10 2
25 07:17-07:59 10
26 13:06-13:49 18
27 18:55-19:38 26
28 00:44-01:27 1
29 06:33-07:16 9
30 12:22-13:05 17
31 18:11-18:54 25
32 00:00-00:43 0
Karl Palmen June 2004