Well, as you know, 2008 is a leap year and the leap year is today (GMT time).
The Julian Calendar have the leap year every 4 years, while the Gregorian Calendar have the leap year rule via having the leap year every 4 years, expect when century years are leap years every 400 years.
My new system goes a step further called the RyoLeapYear system..... The leap year rule proposal goes as follows......
"Every RyoLeapYears are divisible by 4 expect when the century (Ryo)Years divisible by 400 and millennia (Ryo)Years divisible by 4000 with the of (Ryo)Year being 365.24225 days"
It is part of the RyoSystem, which is described in the RyoLeapYears part of the Ryosystem via http://rynprov.ueuo.com/ryosystem.php. Another email will describe the RyoSystem in brief and the link to the detailed RyoSystem info.
BTW, I heard on the DT website via http://decimaltime.hynes.net about "The Real Leap Day" which was on the 24th of February, once called the bissextile day. Information at http://decimaltime.hynes.net/cgibin/ikonboard.cgi?s=ad1f4f4caca4ce227b7e41481b1e5806;act=ST;f=11;t=50
But actually, the leap year is on 2008.02.29 (which is today in Europe, Africa, Asia, Australia and the Middle east, and tomorrow in the Americas, including Canada and RYAN 3000.)
Happy Leap day everybody! RYAN 3000 Looking for the perfect gift? Give the gift of Flickr! 
I can't help but note a personal unusual leap year
story. My wife turns 40 today  being her 10th birthday. For a few years, myself and another woman worked together for this company. Her husband who born on the same day, year and in the same place as my wife. He has a brother who was born exactly four years after him  ie. 29 Feb 1972. How's that for an oddity. Peter  Original Message  From: "Ryan Provost" <[hidden email]> To: <[hidden email]> Sent: Thursday, February 28, 2008 10:24 PM Subject: Leap year (February 29) > Well, as you know, 2008 is a leap year and the leap year is today (GMT > time). > > The Julian Calendar have the leap year every 4 years, while the Gregorian > Calendar have the leap year rule via having the leap year every 4 years, > expect when century years are leap years every 400 years. > > My new system goes a step further called the RyoLeapYear system..... The > leap year rule proposal goes as follows...... > > "Every RyoLeapYears are divisible by 4 expect when the century (Ryo)Years > divisible by 400 and millennia (Ryo)Years divisible by 4000 with the of > (Ryo)Year being 365.24225 days" > > It is part of the RyoSystem, which is described in the RyoLeapYears part > of the Ryosystem via http://rynprov.ueuo.com/ryosystem.php. Another email > will describe the RyoSystem in brief and the link to the detailed > RyoSystem info. > > BTW, I heard on the DT website via http://decimaltime.hynes.net about "The > Real Leap Day" which was on the 24th of February, once called the > bissextile day. Information at > http://decimaltime.hynes.net/cgibin/ikonboard.cgi?s=ad1f4f4caca4ce227b7e41481b1e5806;act=ST;f=11;t=50 > > But actually, the leap year is on 2008.02.29 (which is today in Europe, > Africa, Asia, Australia and the Middle east, and tomorrow in the Americas, > including Canada and RYAN 3000.) > > Happy Leap day everybody! > > RYAN 3000 
In reply to this post by Ryan Provost
Pzed Ryan Provost wrote:

In reply to this post by Ryan Provost
Op 29feb2008, om 3:24 heeft Ryan Provost het volgende geschreven:
> Well, as you know, 2008 is a leap year and the leap year is today > (GMT time). > The Julian Calendar have the leap year every 4 years, while the > Gregorian Calendar have the leap year rule via having the leap year > every 4 years, expect when century years are leap years every 400 > years. > Wrong (apart from typo expect > except?): ..., except century years that are not divisible by 400. > My new system goes a step further called the RyoLeapYear > system..... The leap year rule proposal goes as follows...... > > "Every RyoLeapYears are divisible by 4 expect when the century > (Ryo)Years divisible by 400 and millennia (Ryo)Years divisible by > 4000 with the of (Ryo)Year being 365.24225 days" > You say that you will drop 1 leap day every 400 years, which will give a mean year length of 365.2475 . Also your statement "except when ... millennia years divisible by 4000 .." is superfluous because implicit in your 400year rule. And that does not give the mean year length that you specify. But I suppose you propose a rule like: 365 + 1/4 1/100 + 1/400  1/4000 = 365.24225 . This has been proposed centuries ago, as P.Z. Ingerman already pointed out; and there is no good reason to implement such a change to the Gregorian rule. Also there is no good reason to start a new era in 2000 CE, especially not one named after yourself. > BTW, I heard on the DT website via http://decimaltime.hynes.net > about "The Real Leap Day" which was on the 24th of February, once > called the bissextile day. Information at http:// > decimaltime.hynes.net/cgibin/ikonboard.cgi? > s=ad1f4f4caca4ce227b7e41481b1e5806;act=ST;f=11;t=50 > Correct. The Catholic Church used to celebrate the feast of St.Matthias a day later in leap years; see e.g. http:// en.wikipedia.org/wiki/Leap_year > But actually, the leap year is on 2008.02.29 (which is today in > Europe, Africa, Asia, Australia and the Middle east, and tomorrow > in the Americas, including Canada and RYAN 3000.) > Today is the leap DAY (in current counting of month days), not the leap YEAR. Sloppy formulations, peppered with selfaggrandizing adjectives. Go annoy people elsewhere!  Tom Peters 
In reply to this post by Ryan Provost
On Feb 28, 2008, at 21:24, Ryan Provost wrote:
> "Every RyoLeapYears are divisible by 4 expect when the century > (Ryo)Years divisible by 400 and millennia (Ryo)Years divisible by 4000 > with the of (Ryo)Year being 365.24225 days" Irv replies: This proposed leap cycle, like the Gregorian calendar, has a wide range of equinox wobble, because the leap years are not spread as uniformly as possible. 365.24225 days = 365 days 5 hours 48 minutes and about 50.4 seconds. Let's check: 4000 years of 365 days = 1460000 days not counting leap days. /4 = +1000 leap days, not yet accounting for centuries or millennia. deduct 4000/400 = 10 nonleap centurial years that are divisible by 400 deduct one nonleap millennial year divisible by 4000, total days in 4000year cycle = 1460000+1000101 = 1460989 days. Calculate mean year by dividing by 4000 = 365 days + 989/4000 day = 365.24725 days, rather substantially longer than the figure claimed by Ryan! To recheck the mean year, calculate the fraction in excess by 365 days by simply adding up the number of leap days in the cycle and dividing by the number of years in the cycle. =1000101 = 989/4000, corresponding to a calendar mean year that is 365 days 5 hours 56 minutes and about 2.4 seconds, much, much too long. Rechecking Ryan's leap statement, it seems that it contains several errors, even ignoring the spelling errors ("expect" when "except" was intended). He MEANT to say that the centurial years divisible by 400 are leap years, but all other centurial years are NOT leap years. And I assume that the years divisible by 4000, which would be leap years because they are divisible by 400, are NOT leap years according to his millennial rule. Recalculating the number of leap days in the cycle = 1000  30  1 = 365+969/4000 = 365.24225 days as originally claimed by Ryan. He didn't state what his calendar rule is intended to align with. If it is the northward equinox then his calendar mean year is almost 10 seconds too short, although it is better to be too short than too long (the mean year of the Gregorian calendar is 12 seconds too long). If it is the "mean tropical year" then it is about right (subject to the controversy about what is meant by the MTY and how to calculate it), but calendars should generally relate to a specific equinox or solstice. The northward equinoctial mean year will be reasonably stable for about another 4 millennia, then it will get progressively shorter, see <http://www.sym454.org/seasons/>. This means that Ryan's year 4000 correction will be invoked exactly once before it is no longer sufficient to correct the drift of the calendar! It is "too little, too late"! On Feb 29, 2008, at 08:48, Peter Zilahy Ingerman, PhD wrote: > I note that Ryan does not give credit to Rommé, who proposed the same > "correction" to the French Republican calendar some two centuries > earlier. The FRC was intended to align with the southward equinox. Two centuries ago, the mean southward equinoctial year was 365 days 5 hours 48 minutes and about 34 seconds or about 365.2420621 days, quite a bit shorter than the 365.24225 days of the leap rule in question. Since then it has got progressively shorter (presently about 365.24201096 days or 365 days 5 hours 48 minutes and less than 30 seconds) and will continue to shorten until approximately year 6000. So Rommé's suggestion made substantially LESS sense for the FRC. In his case it was even worse, if the 4millennium correction would not even be invoked until 4000 years after the French Revolution! Apparently at the time it wasn't realized that the mean southward equinoctial year was already substantially shorter than the mean northward equinoctial year, and the former was (and is) rapidly getting shorter while the latter remains relatively stable (for about the next 4 millennia). If one is unwilling to go all the way to an astronomical or mean astronomical calendar, then at least use a uniformly spread fixed arithmetic leap rule, which will best approximate the target astronomy with minimum equinox or solstice wobble. Ideally the number of years per cycle should be <1000. In the case of the southward equinox or south solstice, in the present era it is better to to use a progressive leap rule (such as LASEY or LASSY, see <http://www.sym454.org/leap/>), because their mean years are both rapidly getting shorter.  Irv Bromberg, Toronto, Canada <http://www.sym454.org/> 
In reply to this post by Peter Zilahy Ingerman, PhD
Pzed & CC, sirs:
In my proposal for Reform of the Gregorian calendar, I place FEbruary 29th EVERY YEAR, at the cost of July 31st (i.e. shifting this day to February). Keeping December 31st as the World Peace Day the calendar months generally follow Keplers' Laws of Planetary motion in four equal quarters. Please see: http://www.brijvij.com/bbv_calreformanewWrldcalendar.pdf. The calendar may be used with or without Leap days (div.4/skip128th) or with Leap Weeks (div.6) using either option: 896yrs/159 LWks [2688yrs/477 LWks] or 834yrs/148 LWks. My proposal in brief is palced at: http://www.brijvij.com/bb_wrldcal.Nuapp..pdf Improvements on my proposals, see my home page: http://www.brijvij.com/ are welcome. Regards, Brij Bhushan Vij (MJD 2454528)/995+D049W0900 (G. Sunday, 2008 March 02 H 08:71(decimal) IST Aa Nau Bhadra Kritvo Yantu Vishwatah Rg Veda Jan:31; Feb:29; Mar:31; Apr:30; May:31; Jun:30 Jul:30; Aug:31; Sep:30; Oct:31; Nov:30; Dec:30 (365th day of Year is World Day) HOME PAGE: http://www.brijvij.com/ ******As per Kali VGRhymeCalendaar***** "Koi bhi cheshtha vayarth nahin hoti, purshaarth karne mein hai" Contact # 0119818775933 (M) 001(201)9623708(when in US)
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In reply to this post by Peter A. Kincaid
I have read an article in a paper about this date, claiming that in some countries (UK?) this was the only date women could propose to men.
There is an article on the BBC site which claims that this should be a holiday for people on yearly or monthly salaries: http://news.bbc.co.uk/1/hi/magazine/7269816.stm Such a date also exists on the Jewish calendar: 30 Adar 1 on leap years, which repeats 7 times over a 19 year cycle, since the regular month of Adar on nonleap years has only 29 days. This year it will fall on next Friday, March 7. It used to fall on Feb.29 once in 76 years (not regularly, because of dependence on week days); unfortunately the last time this had happened was in 1824 and it's not going to happen again any more. Amos Shapir > Date: Fri, 29 Feb 2008 00:54:51 0400 > From: [hidden email] > Subject: Re: Leap year (February 29) > To: [hidden email] > > I can't help but note a personal unusual leap year > story. My wife turns 40 today  being her 10th > birthday. For a few years, myself and another > woman worked together for this company. Her > husband who born on the same day, year and > in the same place as my wife. He has a brother > who was born exactly four years after him  ie. > 29 Feb 1972. How's that for an oddity. > > Peter > > > >  Original Message  > From: "Ryan Provost" <[hidden email]> > To: <[hidden email]> > Sent: Thursday, February 28, 2008 10:24 PM > Subject: Leap year (February 29) > > > > Well, as you know, 2008 is a leap year and the leap year is today (GMT > > time). > > > > The Julian Calendar have the leap year every 4 years, while the Gregorian > > Calendar have the leap year rule via having the leap year every 4 years, > > expect when century years are leap years every 400 years. > > > > My new system goes a step further called the RyoLeapYear system..... The > > leap year rule proposal goes as follows...... > > > > "Every RyoLeapYears are divisible by 4 expect when the century (Ryo)Years > > divisible by 400 and millennia (Ryo)Years divisible by 4000 with the of > > (Ryo)Year being 365.24225 days" > > > > It is part of the RyoSystem, which is described in the RyoLeapYears part > > of the Ryosystem via http://rynprov.ueuo.com/ryosystem.php. Another email > > will describe the RyoSystem in brief and the link to the detailed > > RyoSystem info. > > > > BTW, I heard on the DT website via http://decimaltime.hynes.net about "The > > Real Leap Day" which was on the 24th of February, once called the > > bissextile day. Information at > > http://decimaltime.hynes.net/cgibin/ikonboard.cgi?s=ad1f4f4caca4ce227b7e41481b1e5806;act=ST;f=11;t=50 > > > > But actually, the leap year is on 2008.02.29 (which is today in Europe, > > Africa, Asia, Australia and the Middle east, and tomorrow in the Americas, > > including Canada and RYAN 3000.) > > > > Happy Leap day everybody! > > > > RYAN 3000 Express yourself instantly with MSN Messenger! MSN Messenger 
On Sun, Mar 2, 2008 at 10:54 AM, Amos Shapir <[hidden email]> wrote:
> I have read an article in a paper about this date, claiming that in some > countries (UK?) this was the only date women could propose to men. I think this was traditional across Europe, but certainly in the US as well. It was still a wellknown tradition here into the 1960's. > Such a date also exists on the Jewish calendar: 30 Adar 1 on leap years, > which repeats 7 times over a 19 year cycle, since the regular month of Adar > on nonleap years has only 29 days. This year it will fall on next Friday, > March 7. It seems like in a lunisolar calendar like the Hebrew you have a lot of days that aren't there every year: the 30th day of months that are sometimes hollow and sometimes full, such as (Mark)heshvan and Kislev. Not to mention the entire 13th month  it's not just Adar 30th that's missing in common years, but all of Adar II.  Mark J. Reed <[hidden email]> 
In reply to this post by Amos Shapir
Yes that’s true for the John Dalziel www.crashposition.com
 www.computus.org  www.flashmagazine.com From: I have read an article in a paper
about this date, claiming that in some countries (
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John Dalziel wrote:
> Yes that's true for the UK. My wife proposed to me on the 29th of Feb > 2000. We've been married 7 years but only celebrated the engagement three > times. Why not celebrate this event after every 365 days and 6 hours? Regards Michael 
Hmmm. Not sure I'm capable of celebrating anything at 6am!
On 2 Mar 2008, at 19:17, Michael Klemm wrote: > John Dalziel wrote: > >> Yes that's true for the UK. My wife proposed to me on the 29th of Feb >> 2000. We've been married 7 years but only celebrated the >> engagement three >> times. > > Why not celebrate this event after every 365 days and 6 hours? > > Regards > Michael 
On Sun, Mar 2, 2008 at 3:30 PM, John Dalziel <[hidden email]> wrote:
> Why not celebrate this event after every 365 days and 6 hours? Too much math for most people. Not that the folks on this list qualify as "most people" in any way, manner, shape or form. :)  Mark J. Reed <[hidden email]> 
In reply to this post by Amos Shapir
Amos, sir & all:
I have discussed my views since 2002 for the possibility of A World Calendar (with or without) Leap Weeks. Perhaps mine is the ONLY proposal that allows Leap Weeks on divide by six(6) with Additional Keplers' Leap Weeks. I take liberty of posting gist of my previous mail, sir (as ready reference): "In my proposal for Reform of the Gregorian calendar, I place FEbruary 29th EVERY YEAR, at the cost of July 31st (i.e. shifting this day to February). Keeping December 31st as the World Peace Day the calendar months generally follow Keplers' Laws of Planetary motion in four equal quarters. Please see: http://www.brijvij.com/bbv_calreformanewWrldcalendar.pdf. The calendar may be used with or without Leap days (div.4/skip128th) or with Leap Weeks (div.6) using either option: 896yrs/159 LWks [2688yrs/477 LWks] or 834yrs/148 LWks. My proposal in brief is palced at: http://www.brijvij.com/bb_wrldcal.Nuapp..pdf Improvements on my proposals, see my home page: http://www.brijvij.com/ are welcome". Regards, Brij Bhushan Vij (MJD 2454528)/995+D049W0900 (G. Sunday, 2008 March 02 H 08:71(decimal) IST Brij Bhushan Vij (MJD 2454529)/995+D50W0901 (G. Monday, 2008 March 03 H 19:66(decimal) IST Aa Nau Bhadra Kritvo Yantu Vishwatah Rg Veda Jan:31; Feb:29; Mar:31; Apr:30; May:31; Jun:30 Jul:30; Aug:31; Sep:30; Oct:31; Nov:30; Dec:30 (365th day of Year is World Day) HOME PAGE: http://www.brijvij.com/ ******As per Kali VGRhymeCalendaar***** "Koi bhi cheshtha vayarth nahin hoti, purshaarth karne mein hai" Contact # 0119818775933 (M) 001(201)9623708(when in US)
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In reply to this post by Amos Shapir
Amos Shapir wrote:
.... > Such a date also exists on the Jewish calendar: 30 Adar 1 on leap years, > which repeats 7 times over a 19 year cycle, since the regular month of > Adar on nonleap years has only 29 days. This year it will fall on next > Friday, March 7. > It used to fall on Feb.29 once in 76 years (not regularly, because of > dependence on week days); unfortunately the last time this had happened > was in 1824 and it's not going to happen again any more. Strictly speaking: wrong & wrong! The last couple of times it occurred was: Hebr.yr Greg.yr diff in Adar I 30 Feb. 29 Greg. yrs.    5136 1376 5204 1444 68 5212 1452 8 5280 1520 68 5356 1596 76 5508 1748 152 5584 1824 76 Note: before 1584 the proleptic Gregorian calendar is used. So, there is no strict 76 year cycle. The next time it will occur is in the Hebrew year 83267, which coincides with Gregorian 79508. Of course it may be doubted whether humanity will still exist by then, but algorithmically the Hebrew calendar will eventually shift past every Gregorian date. Starting Hebrew year 83267 a string of 45 coincidences will occur, the last one being in the Hebrew year 90191, coinciding with Gregorian 86432. Then a long time no coincidences, until the Hebrew year 167570, Gregorian 163812, with another string of 41 years. Still no strict 76 year cycle. On from Hebrew 83267, Gregorian 79508, the following couple of Gregorian year differences with the previous occurrence can be found: 524, 144, 8, 220, 76, 68, 76, 144, 8, 76, 68, 152, 68, 84, 220, .... For the calculations I used the very robust algorithms from Reingold/Dershowitz. 
Well, the first "wrong" is wrong because I wasn't speaking strictly anyway, it was indicated that this was NOT a regular cycle (even though between 1444 and 1824 only one 76th year was missed). The second "wrong" is most likely wrong, because the Jewish calendar is supposed to be tied to the seasons, so it will have to be reformed before it drifts a full circle.
Amos Shapir > Date: Mon, 3 Mar 2008 15:48:52 +0100 > From: [hidden email] > Subject: Re: Leap year (February 29) > To: [hidden email] > > Amos Shapir wrote: > .... > > > Such a date also exists on the Jewish calendar: 30 Adar 1 on leap years, > > which repeats 7 times over a 19 year cycle, since the regular month of > > Adar on nonleap years has only 29 days. This year it will fall on next > > Friday, March 7. > > It used to fall on Feb.29 once in 76 years (not regularly, because of > > dependence on week days); unfortunately the last time this had happened > > was in 1824 and it's not going to happen again any more. > > Strictly speaking: wrong & wrong! > > The last couple of times it occurred was: > > Hebr.yr Greg.yr diff in > Adar I 30 Feb. 29 Greg. yrs. >    > 5136 1376 > 5204 1444 68 > 5212 1452 8 > 5280 1520 68 > 5356 1596 76 > 5508 1748 152 > 5584 1824 76 > Note: before 1584 the proleptic Gregorian calendar is used. > So, there is no strict 76 year cycle. > > The next time it will occur is in the Hebrew year 83267, which coincides > with Gregorian 79508. > Of course it may be doubted whether humanity will still exist by then, > but algorithmically the Hebrew calendar will eventually shift past every > Gregorian date. > Starting Hebrew year 83267 a string of 45 coincidences will occur, the > last one being in the Hebrew year 90191, coinciding with Gregorian > 86432. Then a long time no coincidences, until the Hebrew year 167570, > Gregorian 163812, with another string of 41 years. > > Still no strict 76 year cycle. On from Hebrew 83267, Gregorian 79508, > the following couple of Gregorian year differences with the previous > occurrence can be found: > 524, 144, 8, 220, 76, 68, 76, 144, 8, 76, 68, 152, 68, 84, 220, .... > > For the calculations I used the very robust algorithms from > Reingold/Dershowitz. Express yourself instantly with MSN Messenger! MSN Messenger 
In reply to this post by OvV_HN
On Mon, Mar 3, 2008 at 9:48 AM, OvV_HN <[hidden email]> wrote:
> Hebr.yr Greg.yr diff in > Adar I 30 Feb. 29 Greg. yrs. >    > 5136 1376 > 5204 1444 68 > 5212 1452 8 > 5280 1520 68 > 5356 1596 76 > 5508 1748 152 > 5584 1824 76 > Note: before 1584 the proleptic Gregorian calendar is used. > So, there is no strict 76 year cycle. No, though there is clearly a 76year component. There's a 76year period from 1376 to 1452, if you discount the intervening recurrence in 1444; likewise 1444 to 1520 if you instead discount 1452; and of course, the 152year gap is just two 76year gaps back to back. If you compare to the Julian Feb 29 instead, the correspondence is more consistent going forward. The last dualleapday was AM 5716/1956 CE, and the next one is AM 5792/2032 CE, and they continue to occur with 9 more this millennium and 8 each in the next two millennia, rather than stopping until the 796th century CE.  Mark J. Reed <[hidden email]> 
In reply to this post by OvV_HN
Dear Amos and Calendar People
Original Message From: East Carolina University Calendar discussion List [mailto:[hidden email]] On Behalf Of OvV_HN Sent: 03 March 2008 14:49 To: [hidden email] Subject: Re: Leap year (February 29) The last couple of times it occurred was: Hebr.yr Greg.yr diff in Adar I 30 Feb. 29 Greg. yrs.    5136 1376 5204 1444 68 5212 1452 8 5280 1520 68 5356 1596 76 5508 1748 152 5584 1824 76 Note: before 1584 the proleptic Gregorian calendar is used. So, there is no strict 76 year cycle. KARL SAYS: Most of these years Not only follow a 76year cycle, but also have Gregorian numbers divisible by 76. This applies to 1444 (=19*76), 1520 (=20*76), 1596 (=21*76), 1748 (=23*76), 1824 (=24*76). Another curiosity is years that have a particular very early or very late Easter day such as March 23 for this year, which is 95 years after the previous and 152 years before the next. Karl 09(08(26 till noon 
Palmen, KEV (Karl) wrote:
> Another curiosity is years that have a particular very early or very > late Easter day such as March 23 for this year, which is 95 years after > the previous and 152 years before the next. Easter statistics can be quite entertaining. Some more: In the Gregorian calendar, the years with Easter Sunday on March 22 (the earliest date) are  calculation started with 1583: 1598, 1693, 1761, 1818, 2285, 2353, 2437, 2505, 2972, 3029, 3401, 3496, 3564, ... Orthodox Easter in the Julian calendar, falling on March 22, occurs since the year 325 in the Julian years: 414, 509, 604, 851, 946, 1041, 1136, 1383, 1478, 1573, 1668, 1915, 2010, 2105, 2200, 2447, 2542, 2637, 2732, 2979, 3074, 3169, 3264, 3511, 3606, ... Now there is a fine periodicity in the differences between these years. In the Julian calendar these differences have a periodicity of 247, 95, 95, 95 years. Note that other Easter dates have another periodicity, for instance March 23 has a differenceperiodicity of 163, 84, 11, 84, 11, 84, 11, 84 years. In the Gregorian calendar however, there is no obvious periodicity. There could be a long one, but the whole canon of Easter dates is only 5.7 million years long. I investigated the Gregorian Easter dates between the years 1583 and 1 million (5701583 would be needed for a full period length). I found that the maximum difference between two years with Easter on March 22 is 1887 years, namely for the first time between the years 171812 and 173699. Between now and the year 10000 the maximum is 991 years, between the years 4308 and 5299. The differences are not always odd; there are also even differences, for instance of 68, 84, 152, 220, 372, 524, 592, 896 years. All this nonsense can probably easily be derived with some advanced modulo arithmetics. You could harass your students, if you have any, with this kind of exercises! 
In reply to this post by Palmen, KEV (Karl)
76 = 4 * 19;
do you reconise some well known numbers? _________________________________________________ Kind regards / met vriendelijke groeten, Henk Reints > Dear Amos and Calendar People > > Original Message > From: East Carolina University Calendar discussion List > [mailto:[hidden email]] On Behalf Of OvV_HN > Sent: 03 March 2008 14:49 > To: [hidden email] > Subject: Re: Leap year (February 29) > > > The last couple of times it occurred was: > > Hebr.yr Greg.yr diff in > Adar I 30 Feb. 29 Greg. yrs. >    > 5136 1376 > 5204 1444 68 > 5212 1452 8 > 5280 1520 68 > 5356 1596 76 > 5508 1748 152 > 5584 1824 76 > Note: before 1584 the proleptic Gregorian calendar is used. > So, there is no strict 76 year cycle. > > KARL SAYS: Most of these years > Not only follow a 76year cycle, but also have Gregorian numbers > divisible by 76. This applies to 1444 (=19*76), 1520 (=20*76), 1596 > (=21*76), 1748 (=23*76), 1824 (=24*76). > > Another curiosity is years that have a particular very early or very > late Easter day such as March 23 for this year, which is 95 years after > the previous and 152 years before the next. > > Karl > > 09(08(26 till noon > 
In reply to this post by OvV_HN
Dear Calendar People
The Golden number of the years listed as having Easter on March 22 are as follows (with golden number on left): 03: 1598 1693 14: 1761 1818 06: 2285 2437 17: 2353 2505 09: 2972 3029 01: 3401 3496 12: 3564 Between years with the same golden number, intervals are 95, 57, 152, 152, 57, 95 . Years of the same Golden number seem to always come in pairs. When is this not the case? Intervals between the rows are 68, 467, 84, 467, 372, 68. Note that the interval 2353 jumps back a row to 2437 forming the interval of 84 between those rows. The interval 2437 to 2505 is a 68year interval as is the interval 2285 to 2353. This jumping back (of 2353 to 2437) arose as a result of compensation for the abundance of leap years from 2304 to 2496 inclusive. Karl 09(08(29 Original Message From: East Carolina University Calendar discussion List [mailto:[hidden email]] On Behalf Of OvV_HN Sent: 04 March 2008 14:24 To: [hidden email] Subject: More silly Easter stats Palmen, KEV (Karl) wrote: > Another curiosity is years that have a particular very early or very > late Easter day such as March 23 for this year, which is 95 years > after the previous and 152 years before the next. Easter statistics can be quite entertaining. Some more: In the Gregorian calendar, the years with Easter Sunday on March 22 (the earliest date) are  calculation started with 1583: 1598, 1693, 1761, 1818, 2285, 2353, 2437, 2505, 2972, 3029, 3401, 3496, 3564, ... Orthodox Easter in the Julian calendar, falling on March 22, occurs since the year 325 in the Julian years: 414, 509, 604, 851, 946, 1041, 1136, 1383, 1478, 1573, 1668, 1915, 2010, 2105, 2200, 2447, 2542, 2637, 2732, 2979, 3074, 3169, 3264, 3511, 3606, ... Now there is a fine periodicity in the differences between these years. In the Julian calendar these differences have a periodicity of 247, 95, 95, 95 years. Note that other Easter dates have another periodicity, for instance March 23 has a differenceperiodicity of 163, 84, 11, 84, 11, 84, 11, 84 years. In the Gregorian calendar however, there is no obvious periodicity. There could be a long one, but the whole canon of Easter dates is only 5.7 million years long. I investigated the Gregorian Easter dates between the years 1583 and 1 million (5701583 would be needed for a full period length). I found that the maximum difference between two years with Easter on March 22 is 1887 years, namely for the first time between the years 171812 and 173699. Between now and the year 10000 the maximum is 991 years, between the years 4308 and 5299. The differences are not always odd; there are also even differences, for instance of 68, 84, 152, 220, 372, 524, 592, 896 years. All this nonsense can probably easily be derived with some advanced modulo arithmetics. You could harass your students, if you have any, with this kind of exercises! 
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