HOW TTO UUUC) O FFIND IND UTOPIAN UNIVERSAL UNIQUE CALENDAR ((UUUC) DATE FROM THE “CURRENT” GREGORIAN CALENDAR DATE THAT YOU MAYBE HABITUATED TO USE? — © MAKARAND BIDWAI Firstly, from a non–leap* year and from JAN 01 thru FEB 28 or from JUL 08 thru DEC 31 of a leap* year date in the Gregorian Calendar, subtract 81 days (the difference between JAN 01 and the Vernal (N. Hemi) or the Autumnal (S. Hemi) Equinoxes in days) as follows: 01.01 ‐ 81 days constant ______________________________________________________________________________________ 10.12 or the Tenth moon, the Third week (12 daays ‐ 10 (5 daays a week * 2 weeks) = 2), the Second daay written as 10.03.02 or 10m 03w 02d Nextly, from a year of the Gregorian Calendar subtract 1905 years (the difference between the year Einstein’s Special Theory of Relativity in “1905" was discovered and the Gregorian Calendar inception in years) as follows: 2020 ‐1905 years constant _________________________________ 0115 or the One Hundred Fifteenth yeer written as 0115 or 0115y And the combined date is 0115.10.03.002 or 0115y 10m 03w 002d for 2020 JAN 01 of the Gregorian Calendar. For the rest of the convention, read further in the end pages. Thus, the Yeer is always 4 digits with leading “0s" the Moon is always 2 digits with leading “0s” the Week is always 2 digits with leading “0s” the Daay is always 3 digits with leading “0s”
range from 1 thru 9999 range from 1 thru 12 range from 1 thru 6 in a Moon or 1 thru 72 in a Yeer range from 1 thru 5 in a Week or 1 thru 30 in a Moon or 1 thru 360 in a Yeer
These ranges are adequate, yet not preposterous, and as our measurement precision improves, these can be interpolated or extrapolated or excised or enhanced as necessary and appropriate the Utopian Calendar being linked to the dynamic, wobbly, slightly erratic rotating and revolving Earth; the “floating” leep week of 5 daays and the quadrennially occurring, with some exceptions, “floating” leep daay can move around as the Earth’s aphelion precesses to days in months or months in years in the Gregorian Calendar. However, by the time that happens, its use shall be discontinued, such compelling mathematical gem that this UUUC happens to be. *for the Gregorian Calendar days in its leap year for instance, from 2020 FEB 29 thru 2020 JUL 07 the constant 81 days reduces to 80 days when the underlined year is a leap year only. Please keep politicians, pastors, popes, priests away from date keeping. As far as time keeping goes, it was not meddled with and AM or PM separation of a day in two parts is vague as true Meridian passage of the Sun is redundant with introduction of the Standard Time; likewise, the Daylight Savings Time is delusional, disruptive.
¹ autumn À™ spring ¸ ¹ winter À™ summer ¸ ¹ spring À™ autumn ¸ ¹ summer À™ winter ¸
1 monsoon 1
1 winter 1
varsha sharad
hemant shishir
d
1
2
3
1
03.21|03.20 1 03.21|03.20
03.22|03.21 2 03.22|03.21
03.23|03.22 3 03.23|03.22
2
03.26|03.25 03.27|03.26 6 7 03.26|03.25 03.27|03.26
03.28|03.27 03.29|03.28 03.30|03.29 8 9 10 03.28|03.27 03.29|03.28 03.30|03.29
07.29 07.30 07.31 08.01 08.02 11.26 6 7 8 9 10 6 04.25|04.24 04.26|04.25 04.27|04.26 04.28|04.27 04.29|04.28 05.25|05.24
11.27 11.28 7 8 05.26|05.25 05.27|05.26
11.29 11.30 9 10 05.28|05.27 05.29|05.28
3
03.31|03.30 11 03.31|03.30
04.02|04.01 04.03|04.02 04.04|04.03 13 14 15 04.02|04.01 04.03|04.02 04.04|04.03
08.03 08.04 11 12 04.30|04.29 05.01|04.30
12.02 12 05.31|05.30
12.04 12.05 14 15 06.02|06.01 06.03|06.02
4
04.05|04.04 04.06|04.05 04.07|04.06 04.08|04.07 04.09|04.08 16 17 18 19 20 04.05|04.04 04.06|04.05 04.07|04.06 04.08|04.07 04.09|04.08
08.08 08.09 08.10 08.11 08.12 12.06 12.07 12.08 12.09 12.10 16 17 18 19 20 16 17 18 19 20 05.05|05.04 05.06|05.05 05.07|05.06 05.08|05.07 05.09|05.08 06.04|06.03 06.05|06.04 06.06|06.05 06.07|06.06 06.08|06.07
5
04.10|04.09 21 04.10|04.09
04.11|04.10 22 04.11|04.10
04.12|04.11 23 04.12|04.11
04.13|04.12 24 04.13|04.12
04.14|04.13 25 04.14|04.13
08.13 21 05.10|05.09
08.14 22 05.11|05.10
08.15 23 05.12|05.11
08.16 24 05.13|05.12
08.17 25 05.14|05.13
12.11 12.12 21 22 06.09|06.08 06.10|06.09
12.13 23 06.11|06.10
12.14 24 06.12|06.11
12.15 25 06.13|06.12
6
04.15|04.14 26 04.15|04.14
04.16|04.15 27 04.16|04.15
04.17|04.16 28 04.17|04.16
04.18|04.17 29 04.18|04.17
04.19|04.18 30 04.19|04.18
08.18 26 05.15|05.14
08.19 27 05.16|05.15
08.20 28 05.17|05.16
08.21 29 05.18|05.17
08.22 30 05.19|05.18
12.16 26 06.14|06.13
12.17 27 06.15|06.14
12.18 28 06.16|06.15
12.19 29 06.17|06.16
12.20 30 06.18|06.17
1
04.20|04.19 04.21|04.20 1 2 06.19|06.18 06.20|06.19
04.22|04.21 04.23|04.22 04.24|04.23 3 4 5 06.21|06.20 06.22|06.21 06.23|06.22
08.23 1 07.24
08.24 2 07.25
08.25 3 07.26
08.26 4 07.27
08.27 5 07.28
12.21 1 08.23
12.22 2 08.24
12.23 3 08.25
12.24 4 08.26
12.25 5 08.27
2
04.25|04.24 04.26|04.25 04.27|04.26 04.28|04.27 04.29|04.28 6 7 8 9 10 06.24|06.23 06.25|06.24 06.26|06.25 06.27|06.26 06.28|06.27
08.28 6 07.29
08.29 7 07.30
08.30 8 07.31
08.31 9 08.01
09.01 10 08.02
12.26 6 08.28
12.27 7 08.29
12.28 8 08.30
12.29 9 08.31
12.30 10 09.01
3
04.30|04.29 05.01|04.30 05.02|05.01 05.03|05.02 05.04|05.03 11 12 13 14 15 06.29|06.28 06.30|06.29 07.01|06.30 07.02|07.01 07.03|07.02
09.03 12 08.04
09.04 13 08.05
09.05 14 08.06
09.06 15 08.07
12.31 11 09.02
01.01 12 09.03
01.02 13 09.04
01.03 14 09.05
01.04 15 09.06
l
4 seasons 4 seasons 4 seasons 4 seasons 4 seasons w 1 w 2 w 3 w 4 w 5 07.04|07.03 07.05|07.04 07.06|07.05 07.07|07.06 07.08|07.07
4
02 04
09.02 11 08.03
05.05|05.04 05.06|05.05 05.07|05.06 05.08|05.07 05.09|05.08 16 17 18 19 20 07.09 07.10 07.11 07.12 07.13
09.07 16 08.08
09.08 17 08.09
09.09 18 08.10
09.10 19 08.11
09.11 20 08.12
01.05 16 09.07
01.06 17 09.08
01.07 18 09.09
01.08 19 09.10
01.09 20 09.11
5
05.10|05.09 21 07.14
05.11|05.10 22 07.15
05.12|05.11 23 07.16
05.13|05.12 24 07.17
05.14|05.13 25 07.18
09.12 21 08.13
09.13 22 08.14
09.14 23 08.15
09.15 24 08.16
09.16 25 08.17
01.10 21 09.12
01.11 22 09.13
01.12 23 09.14
01.13 24 09.15
01.14 25 09.16
6
05.15|05.14 26 07.19
05.16|05.15 27 07.20
05.17|05.16 28 07.21
05.18|05.17 29 07.22
05.19|05.18 30 07.23
09.17 26 08.18
09.18 27 08.19
09.19 28 08.20
09.20 29 08.21
09.21 30 08.22
01.15 26 09.17
01.16 27 09.18
01.17 28 09.19
01.18 29 09.20
01.19 30 09.21
1
05.20|05.19 1 09.22
05.21|05.20 2 09.23
05.22|05.21 3 09.24
05.23|05.22 4 09.25
05.24|05.23 5 09.26
09.22 1 10.22
09.23 2 10.23
09.24 3 10.24
09.25 4 10.25
09.26 5 10.26
01.20 1 11.21
01.21 2 11.22
01.22 3 11.23
01.23 4 11.24
01.24 5 11.25
2
05.25|05.24 6 09.27
05.26|05.25 05.27|05.26 7 8 09.28 09.29
05.28|05.27 05.29|05.28 9 10 09.30 10.01
09.27 6 10.27
09.28 7 10.28
09.29 8 10.29
09.30 9 10.30
10.01 10 10.31
01.25 6 11.26
01.26 7 11.27
01.27 8 11.28
01.28 9 11.29
01.29 10 11.30
3
05.30|05.29 11 10.02
05.31|05.30 12 10.03
06.02|06.01 06.03|06.02 14 15 10.05 10.06
10.02 11 11.01
10.03 12 11.02
10.04 13 11.03
10.05 14 11.04
10.06 15 11.05
01.30 11 12.01
01.31 12 12.02
02.01 13 12.03
02.02 14 12.04
02.03 15 12.05
4
06.04|06.03 06.05|06.04 06.06|06.05 06.07|06.06 06.08|06.07 16 17 18 19 20 10.07 10.08 10.09 10.10 10.11
10.07 16 11.06
10.08 17 11.07
10.09 18 11.08
10.10 19 11.09
10.11 20 11.10
02.04 16 12.06
02.05 17 12.07
02.06 18 12.08
02.07 19 12.09
02.08 20 12.10
5
06.09|06.08 06.10|06.09 21 22 10.12 10.13
06.11|06.10 23 10.14
06.12|06.11 24 10.15
06.13|06.12 25 10.16
10.12 21 11.11
10.13 22 11.12
10.14 2 11.13
10.15 24 11.14
10.16 25 11.15
02.09 21 12.11
02.10 22 12.12
02.11 23 12.13
02.12 24 12.14
02.13 25 12.15
6
06.14|06.13 26 10.17
06.15|06.14 27 10.18
06.16|06.15 28 10.19
06.17|06.16 29 10.20
06.18|06.17 30 10.21
10.17 26 11.16
10.18 27 11.17
10.19 28 11.18
10.20 29 11.19
10.21 30 11.20
02.14 26 12.16
02.15 27 12.17
02.16 28 12.18
02.17 29 12.19
02.18 30 12.20
1
06.19|06.18 1 12.21
06.20|06.19 2 12.22
06.21|06.20 3 12.23
06.22|06.21 4 12.24
06.23|06.22 5 12.25
10.22 1 01.20
10.23 2 01.21
10.24 3 01.22
10.25 4 01.23
10.26 5 01.24
02.19 1 02.19
02.20 2 02.20
02.21 3 02.21
02.22 4 02.22
02.23 5 02.23
2
06.24|06.23 06.25|06.24 06.26|06.25 06.27|06.26 06.28|06.27 6 7 8 9 10 12.26 12.27 12.28 12.29 12.30
10.27 6 01.25
10.28 7 01.26
10.29 8 01.27
10.30 9 01.28
10.31 10 01.29
02.24 6 02.24
02.25 7 02.25
02.26 8 02.26
02.27 9 02.27
02.28 10 02.28
3
06.29|06.28 06.30|06.29 07.01|06.30 11 12 13 12.31 01.01 01.02
11.02 12 01.31
11.03 13 02.01
11.04 14 02.02
11.05 15 02.03
03.01|02.29 11 03.01|02.29
l
04 10
11.01 11 01.30
07.04|07.03 07.05|07.04 07.06|07.05 07.07|07.06 07.08|07.07 w 1 w 2 w 3 w 4 w 5 3 seasons 3 seasons 3 seasons 3 seasons 3 seasons
w
leap
1 summer 1 vasant grishma 4
5
1
03.24|03.23 03.25|03.24 4 5 03.24|03.23 03.25|03.24
01 01 04.01|03.31 12 04.01|03.31
07.02|07.01 14 01.03
3
4
5
1
07.26 07.27 07.28 11.21 3 4 5 1 04.22|04.21 04.23|04.22 04.24|04.23 05.20|05.19
2
3
4
5
11.22 2 05.21|05.20
11.23 3 05.22|05.21
11.24 4 05.23|05.22
11.25 5 05.24|05.23
05 09 02 03
4 seasons d 1 07.08
03 07 06.01|05.31 13 10.04
2
07.24 07.25 1 2 04.20|04.19 04.21|04.20
08.05 13 05.02|05.01
08.06 08.07 12.01 14 15 11 05.03|05.02 05.04|05.03 05.30|05.29
12.03 13 06.01|05.31
06 10 05 06 07 11 08 09
07.03|07.02 15 01.04 07.08 d 1 3 seasons
08 12 11 12 03.02|03.01 12 03.02|03.01
03.03|03.02 03.04|03.03 03.05|03.04 13 14 15 03.03|03.02 03.04|03.03 03.05|03.04
4
07.09 16 01.05
07.10 17 01.06
07.11 18 01.07
07.12 19 01.08
07.13 20 01.09
11.06 16 02.04
11.07 17 02.05
11.08 18 02.06
11.09 19 02.07
11.10 20 02.08
03.06|03.05 03.07|03.06 03.08|03.07 03.09|03.08 03.10|03.09 16 17 18 19 20 03.06|03.05 03.07|03.06 03.08|03.07 03.09|03.08 03.10|03.09
5
07.14 21 01.10
07.15 22 01.11
07.16 23 01.12
07.17 24 01.13
07.18 25 01.14
11.11 21 02.09
11.12 22 02.10
11.13 23 02.11
11.14 24 02.12
11.15 25 02.13
03.11|03.10 21 03.11|03.10
03.12|03.11 22 03.12|03.11
03.13|03.12 23 03.13|03.12
03.14|03.13 24 03.14|03.13
03.15|03.14 25 03.15|03.14
6
07.19 26 01.15
07.20 27 01.16
07.21 28 01.17
07.22 29 01.18
07.23 30 01.19
11.16 26 02.14
11.17 27 02.15
11.18 28 02.16
11.19 29 02.17
11.20 30 02.18
03.16|03.15 26 03.16|03.15
03.17|03.16 27 03.17|03.16
03.18|03.17 28 03.18|03.17
03.19|03.18 29 03.19|03.18
03.20|03.19 30 03.20|03.19
w
to compensate for slowed revolution from Georgian years’s APR 02 through OCT 02 being slowest on or about JUL 04 or 05 or 06 or 07 when leap week sets in
d
every 4 years except none every 100 years except one every 400 years when leap day sets in
60 soods = 1 moot 60 moots = 1 hoor 24 hoors = 1 daay 5 daays = 1 week 6 weeks = 1 moon
4 or 3 moons = 1 seed 3 or 4 seeds = 1 yeer 1 leep week 1 leep daay
4 yeers + 4 lw + 1 ld = 1 quood 5 quoods = 1 scoor 5 scoors = 1 ceent ‐ 1 ld
Introduction to the most Sol Terra Luna synced, precise, accurate calendar — only scientifically designed Each current calendar is some compromise for how the Lunar month and the Solar year are not integers when overlaid. Then, the religious fanatics who have always abandoned science, reason, and rational behavior have interjected themselves into a calendar that does not have the weird seven day week, and the weirdest twelve month year with months of inconsistent length. This youngest calendar is typically a solar seasonal calendar. The Utopian Calendar is 100% digital, just like the sexagesimal clock. Days, weeks, months, years have no names. It is one continuum. To help smooth transition from the present messiest Georgian Calendar, there are reference dates from those for the three (above) or the two, four (below) seasons version overlaid in the matrix. Columnar or vertically down up and vertically down again are for the three seasons, six ecological ones. Rowar or horizontally right left and horizontally right again are for the two or four seasons. The middle number is the Utopian current date for the Georgian cross reference. The Utopian Calendar takes into account the Positional Astronomy and the Positional Geography; that is, some parts of the world have two or three seasons, not the four seasons observed in a majority of the Geography. THE TWO SEASONS The Polar regions have mild Summers and most Winters; nearly twenty–four hours day or night for almost half the year. No calendar can represent this except, the Utopian Calendar: Use only the Spring extending into Summer as Spring; and Winter extending from Autumn as Winter. These are the two broad seasons found on the Earth’s polar regions between the Arctic or Antarctic circles and the poles. THE THREE SEASONS The peninsular regions of India, and some parts of the world have typically three seasons and in India in particular these are divided into six ecological seasons as depicted in the picture on the right, and identified with their Sanskrit names in the Utopian Calendar table. The Kepler’s laws explain the elliptical nature of the Earth’s orbit, and due to an ellipse’s two foci geometry, the time between the equinox and the solstice, or the solstice and the equinox is not of an uniform duration as follows: The astronomical seasons are not of equal length because of the elliptical nature of the orbit of the Earth as discovered by Kepler. From the MAR equinox it takes 92.75 days until the JUN solstice, then 93.65 days until the SEP equinox, 89.85 days until the DEC solstice and finally 88.99 days until the MAR equinox. <<Wikepedia>>
The above diagram shows the relation between the line of solstice and the line of apsides of Earth's elliptical orbit. The orbital ellipse (with eccentricity exaggerated for effect) goes through each of the six Earth images, which are sequentially the perihelion (periapsis—nearest point to the sun) on anywhere from JAN 02 to JAN 05, the point of MAR equinox on MAR 19, 20 or 21, the point of JUN solstice on JUN 20 or 21, the aphelion (apoapsis—farthest point from the sun) on anywhere from JUL 04 to 07, the SEP equinox on SEP 22 or 23, and the DEC solstice on DEC 21 or 22. <<Wikepedia>> MAR to SEP the days are more: 186.40 and SEP to MAR the days are less: 178.84. Thus, this Utopian Calendar inserts an intercalary leap week right around when the Earth is slowest and takes the longest to go around the Sun, on or about JUL 04 thru 7 in the Georgian Calendar. This intercalary leap week is uniquely placed in the middle of the fourth month of the Utopian Calendar, thus dividing that month into the two halves. The intercalary leap week is not part of that fourth month. The week is tagged with a leap day as necessary and explained in the endnote. Please note that in sync with Nature, the Utopian Calendar has 185 or 186 days without or with a leap day, respectively — which is the closest match to how the Earth slows down just after the midpoint in the first six of the twelve month interval of one Earth year, and in the next six months speeds up. The “inconvenient truth” of the Earth’s orbital dynamics is correctly represented in the first six months split into 3.5 and 2.5 months with the intercalary week “smack in between” after the third week and before the fourth week of the fourth month! Horizontal 2 or 4 seasons, or vertical 3 seasons maintains this split. The Utopian Calendar year starts with the Vernal Equinox on or about MAR 19, 20 or 21 of the Georgian Calendar. This is either 80 or 81 days from its JAN 01 year with or without the leap date of FEB 29, respectively. The Utopian Calendar was originally designed by Makarand Bidwai in 1980 along with his brainchild, Cosmic Academy (Bramhand Prabhodini) in Baroda, Gujarat, India. The Utopian Calendar reckon’s the Era from the most significant Astrophysical discovery which gives us the best grasp on time : the Einstein’s Theory of Special Relativity espoused in the Georgian year 1905. The Spring Vernal equinox of that year is the Utopian Calendar’s starting point, or Year Zero. This is the sanguine calendar.
This is the “real” calendar. In an “ideal” calendar — never astronomically possible, twelve lunations may make one terra year with the slowest Earth’s orbital velocity centered around the Summer solstice which will make a good use of the word month, coming from the Moon, and puts the intercalary leap week and the quad–year intercalary leap day around the Northern Summer solstice, thus eliminating splitting the fourth month. However, this is how Nature is best represented in various units of time that makes a year and a quad. It is not possible that twelve equal lunations will sync with the orbital velocity variation of the Earth. The Earth’s rotation is slowing down increasing the length of the day; less days make a year as time progresses; but some is compensated by the increasing year length. This work is not final. The various definitions of the second, minute, hour, day, week, month, season, equinox, solstice, perihelion and aphelion, year, are used to keep the Utopian Calendar as close in sync to human nature as possible. Cosmic Academy intends to discard the traditional Georgian Calendar in a few years. This reference matrix will help the uninitiated and the new comers to take time to reckon time the most real way. A religion can never dictate a calendar; a calendar, however, always dictates the religious rituals as the lunar and the solar motions make the calendar possible. A calendar is science–embedded–math of our daily dynamics. # time drift drag due to gravity, tides, geological cataclysmic disasters, conservation of angular momentum # the earth, moon, sun as timekeepers and how best to reckon from their non constant orbital dynamics # variance, perturbation # how to decide holidaays, holiweeks, and so on; work daay, work week, commute time, framily time, commutry time: holidaays are a boon for the “come to shop in our store” no matter what establishment. Holidaays have a lot better purpose than emptying your purse, pocket, I implore you: hobbies. Georgian to Utopian Vernal Equinox to VE 1904 1905 1906 1907 1908 1909 1910 1911 1912 1913
ø ø ø ø ø ø ø ø ø ø
1905 1906 1907 1908 1909 1910 1911 1912 1913 1914
A A A A A A A A A A
0000 0001 0002 0003 0004 0005 0006 0007 0008 0009
1914 1924 1934 1944 1954 1964 1974 1984 1994 2004
ø ø ø ø ø ø ø ø ø ø
1915 1925 1935 1945 1955 1965 1975 1985 1995 2005
A A A A A A A A A A
0010 0020 0030 0040 0050 0060 0070 0080 0090 0100
2014 2024 2034 2044 2054 2064 2074 2084 2094 2104
ø ø ø ø ø ø ø ø ø ø
2015 2025 2035 2045 2055 2065 2075 2085 2095 2105
A A A A A A A A A A
0110 0120 0130 0140 0150 0160 0170 0180 0190 0200
EXAMPLES OF DATE CONVERSIONS BETWEEN THE ABSURD & THE AUTHENTIC Sample date: 2020.01.01 can be written as in completed units only — 0114y.09m.02w.001d (moon) or 0114.09.02.001 0114y.56w.001d (week) or 0114.56.001 0114y.281d (daay) or 0114.281 0114y (yeer) or 0114 . . . days with leading zeros Sample date: 2020.01.01 can be written as in current units only —
0115y.10m.03w.002d (moon) or 0115.10.03.002 0115y.57w.002d (week) or 0115.57.002 0115y.282d (daay) 0r 0115.282 0115y (yeer) or 0115 . . . . days with leading zeros
Leep week representation in current units only JUL 4,5,6,7,8, 2021 — 0115y.1lw,2lw,3lw,4lw,5lw or 0115.1,2,3,4,5 No leep day in 2021, 2022, 2023. Only leep week each listed yeer. Leep week representation in current units only JUL 3,4,5,6,7, 2020 — 0115y.01lw,02lw,03lw,04lw,05lw or 0115.1,2,3,4,5 0115y.6ld or 0115.6 . . . . days with leading zeros Leep daay representation in current units only JUL 8, 2020 —
60 soods = 1 moot 60 moots = 1 hoor 24 hoors = 1 daay 5 daays = 1 week 6 weeks = 1 moon
4 or 3 moons = 1 seed 3 or 4 seeds = 1 yeer 1 leep week 1 leep daay
4 yeers + 4 lw + 1 ld = 1 quood 5 quoods = 1 scoor 5 scoors = 1 ceent ‐ 1 ld
ONCE THE POPULATION GETS USED TO THE UTOPIAN CALENDAR, IT WILL LOOK SIMPLE LIKE THIS VERSION WITH NO CROSS REFERENCE NEEDS — © MAKARAND BIDWAI
¹ autumn À™ spring ¸ ¹ winter À™ summer ¸ ¹ spring À™ autumn ¸ ¹ summer À™ winter ¸
1 monsoon 1
1 winter 1
vasant grishma
varsha sharad
hemant shishir
d
1
2
3
4
5
1
2
3
4
5
1
2
3
4
5
1
1
2
3
4
5
1
2
3
4
5
1
2
3
4
5
2
6
7
8
9
10
6
7
8
9
10
6
7
8
9
10
3
11
12
13
14
15
11
12
13
14
15
11
12
13
14
15
4
16
17
18
19
20
16
17
18
19
20
16
17
18
19
20
5
22
22
23
24
25
22
22
23
24
25
22
22
23
24
25
6
26
27
28
29
30
26
27
28
29
30
26
27
28
29
30
1
1
2
3
4
5
1
2
3
4
5
1
2
3
4
5
2
6
7
8
9
10
6
7
8
9
10
6
7
8
9
10
3
11
12
13
14
15
11
12
13
14
15
11
12
13
14
15
l
w1
w2
w3
w4
w5
4
16
17
18
19
20
16
17
18
19
20
16
17
18
19
20
5
22
22
23
24
25
22
22
23
24
25
22
22
23
24
25
6
26
27
28
29
30
26
27
28
29
30
26
27
28
29
30
1
1
2
3
4
5
1
2
3
4
5
1
2
3
4
5
2
6
7
8
9
10
6
7
8
9
10
6
7
8
9
10
3
11
12
13
14
15
11
12
13
14
15
11
12
13
14
15
4
16
17
18
19
20
16
17
18
19
20
16
17
18
19
20
5
22
22
23
24
25
22
22
23
24
25
22
22
23
24
25
6
26
27
28
29
30
26
27
28
29
30
26
27
28
29
30
1
1
2
3
4
5
1
2
3
4
5
1
2
3
4
5
2
6
7
8
9
10
6
7
8
9
10
6
7
8
9
10
3
11
12
13
14
15
11
12
13
14
15
11
12
13
14
15
l
w1
w2
w3
w4
w5
4
16
17
18
19
20
16
17
18
19
20
16
17
18
19
20
5
22
22
23
24
25
22
22
23
24
25
22
22
23
24
25
6
26
27
28
29
30
26
27
28
29
30
26
27
28
29
30
w
to compensate for slowed revolution from Georgian years’s APR 02 through OCT 02 being slowest on or about JUL 04 or 05 or 06 or 07 when leap week sets in
d
every 4 years except none every 100 years except one every 400 years
w
leap
1 summer 1
01 01 02 04
05 09 02 03
d1
03 07 04 10
06 10 05 06 07 11 08 09
d1
08 12 11 12