186-year Divide-By-Six Cycle RE: Brij Home Page & calculations Re: French Republican Equinox Leap Years RE: ...

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186-year Divide-By-Six Cycle RE: Brij Home Page & calculations Re: French Republican Equinox Leap Years RE: ...

Karl Palmen

Dear Brij and Calendar People

 

I suggest that Brij try the simple Divide-By-Six 186-year cycle where the 93rd and 183rd years have an additional leap week.

 

It will follow the September equinox quite well:

Thu, 22 Sep 1644 13:03:32 GMT

Thu, 23 Sep 1830 13:41:24 GMT

Thu, 22 Sep 2016 14:20:41 GMT

Thu, 23 Sep 2202 14:17:26 GMT

Thu, 22 Sep 2388 14:14:04 GMT

Thu, 22 Sep 2574 13:57:40 GMT

Thu, 22 Sep 2760 13:25:18 GMT

Thu, 22 Sep 2946 12:32:01 GMT

 

Also the 186-year cycle occurs within the 834-year cycle and the 2688-year cycle, if the 6-year periods with additional leap weeks are spread as smoothly as possible to give minimum jitter for divide-by-six.

 

These equinoxes were obtained from

https://stellafane.org/misc/equinox.html

I suggest Brij uses these equinox and solstice times to check the accuracy of his calendar suggestions, by looking at dates a whole calendar cycle apart.

This site works for years 1000 to 3000, but before the start of the Gregorian calendar in October 1582, Julian calendar dates are used and the day of week is not correct for these Julian calendar dates.

 

Here I look at the 896-year cycle:

 

Sun, 20 Mar 2016 04:29:48 GMT     

Sun, 20 Mar 2912 08:37:21 GMT

 

Mon, 20 Jun 2016 22:33:55 GMT

Mon, 20 Jun 2912 09:40:09 GMT

 

Thu, 22 Sep 2016 14:20:41 GMT

Thu, 22 Sep 2912 07:30:10 GMT

 

Wed, 21 Dec 2016 10:44:00 GMT

Wed, 21 Dec 2912 20:21:17 GMT

 

Then the 834-year cycle:

 

Sun, 20 Mar 2016 04:29:48 GMT 

Sun, 20 Mar 2850 07:43:41 GMT

 

Mon, 20 Jun 2016 22:33:55 GMT

Mon, 20 Jun 2850 10:03:57 GMT

 

Thu, 22 Sep 2016 14:20:41 GMT

Thu, 22 Sep 2850 07:30:14 GMT

 

Wed, 21 Dec 2016 10:44:00 GMT

Wed, 21 Dec 2850 19:17:51 GMT

 

I see that by choosing a Gregorian leap year as the start year of the cycle, the Gregorian date does not change over the cycle. For any start year, one can check the day of week and that’s why I showed it in bold.

 

Karl

 

15(14(24

 

From: East Carolina University Calendar discussion List [mailto:[hidden email]] On Behalf Of Brij Bhushan metric VIJ
Sent: 27 July 2016 18:35
To: [hidden email]
Subject: Brij Home Page & calculations Re: French Republican Equinox Leap Years RE: French Republican Leap Year Compromise? RE: ...

 

Karl & calendar people:

This gives me some satisfaction that my inputs, as discussed and placed at my home page: http://www.brijvij.com/ have remained under constant examination and/or review digging 'historic back ground' for Reform of the Gregorian calendar my inputs have possibly been the best so far "using my developed 896-year cycle or the 834-year cycle; along with Divide Six(6) option for placing a Leap week, as also on slight modification of LeapDay Rule from -div4/skip100th/count400th to more appropriate div4/skip128th-years can usefully result in getting Mean Year =365+31/128=365.2421875 days. This does not need any further adjustment like the 4000-th year to set the Astronomic clock in tune with possibly the best calculations so far: at little or No Cost to the Tax-Payer. This becomes the Simplest, Surest and Cheapest ever proposal for the Reform of Gregorian calendar. 

Permit me to assume, sirs, while attempting to dig past history of calendars- my inputs have not been ignored by calendar experts and the World Calendar Organisation - especially when my inputs provide solutions to: (a) Decimalisation of Timeof the HOUR i.e. The Hour-Angle, Radian and the value for Pi; (b) No change to dail face/No reworking for trigonometric & mathematical functions; (c) No change to 7-day week EXCEPT shifting the day of July 31 as February 29 (all years) but keeping 365th day and the LeapDay (366th) if used between June 30th & July 01; (d) Not disturbing the the current

Length of days in each month per Keplers Laws of Plentary bodies - maintaining the 'Fist Rule' as learning aid among all classes of children and the lady at Home; (e) I find NO difficulty in using my worked Phase/or Tithi values linked to 19-years, 896-years or the Cycle of Precession linked to current duration of the Mean Lunar Month.

What more simplicity or ease for the Reform of Gregorian calendar can be 'thought/ incorporated/implemented, is my view?

My profound regards to all calendar experts who have been constant 'critics' of my proposed inputs. I salute them all, being a Soldier fighting for a cause?

Brij Bhushan (metric) VIJ

[hidden email]

Sent from my iPhone


On Jul 27, 2016, at 8:03 AM, Karl Palmen <[hidden email]> wrote:

Dear Calendar People

 

I found that the Fourmilab calendar converter

https://www.fourmilab.ch/documents/calendar/  converts the French Republican Calendar according to the equinox rule.

 

I found it fitted with the leap years:

003, …, 015,  020, …, 048,  053, …, 077,  082, …, 110,  

115, …, 139,  144, …, 172,  177, …, 205,  210, …, 234,

239.

where “…” indicates once every 4 years in between, including the two years either side.

 

which reckoned.

 

The years shown began on the days I expected:

016: Thu, 24 Sep 1807   020: Mon, 23 Sep 1811

049: Tue, 23 Sep 1840   053: Sun, 22 Sep 1844

078: Thu, 23 Sep 1869   082: Mon, 22 Sep 1873

111: Tue, 24 Sep 1902   115: Sun, 23 Sep 1906

140: Thu, 24 Sep 1931   144: Mon, 23 Sep 1935

173: Wed, 23 Sep 1964   177: Sun, 22 Sep 1968

206: Mon, 23 Sep 1997   210: Sat, 22 Sep 2001

235: Wed, 23 Sep 2026   239: Sun, 22 Sep 2030

 

Karl

 

15(14(23

 

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Re: 186-year Divide-By-Six Cycle RE: Brij Home Page & calculations Re: French Republican Equinox Leap Years RE: ...

Brij Bhushan metric VIJ
Karl, Calendar reformers, sirs:
I thank you, Karl for checking/confirming the possibility using 'my divide SIX(6) proposal to insert ADDED (Kepler's) LeapWeeks' in fixing *Equinoxes & Solstices*.
I am sure, calendar Reformers and/or Astronomers reconcile with theorems worked getting Mean Year=7*(52+159/896)=
365.2421875 days =7*(52+1/6+29/2688) days. There is hardly any point in 'creating any fresh confusion among calendar experts, I suppose.
Karl, sir, I thank you again. Regards, 
Brij Bhushan (metric) VIJ
Thursday, 2016 July 28H12:15(decimal)

Sent from my iPhone

On Jul 28, 2016, at 8:08 AM, Karl Palmen <[hidden email]> wrote:

Dear Brij and Calendar People

 

I suggest that Brij try the simple Divide-By-Six 186-year cycle where the 93rd and 183rd years have an additional leap week.

 

It will follow the September equinox quite well:

Thu, 22 Sep 1644 13:03:32 GMT

Thu, 23 Sep 1830 13:41:24 GMT

Thu, 22 Sep 2016 14:20:41 GMT

Thu, 23 Sep 2202 14:17:26 GMT

Thu, 22 Sep 2388 14:14:04 GMT

Thu, 22 Sep 2574 13:57:40 GMT

Thu, 22 Sep 2760 13:25:18 GMT

Thu, 22 Sep 2946 12:32:01 GMT

 

Also the 186-year cycle occurs within the 834-year cycle and the 2688-year cycle, if the 6-year periods with additional leap weeks are spread as smoothly as possible to give minimum jitter for divide-by-six.

 

These equinoxes were obtained from

https://stellafane.org/misc/equinox.html

I suggest Brij uses these equinox and solstice times to check the accuracy of his calendar suggestions, by looking at dates a whole calendar cycle apart.

This site works for years 1000 to 3000, but before the start of the Gregorian calendar in October 1582, Julian calendar dates are used and the day of week is not correct for these Julian calendar dates.

 

Here I look at the 896-year cycle:

 

Sun, 20 Mar 2016 04:29:48 GMT     

Sun, 20 Mar 2912 08:37:21 GMT

 

Mon, 20 Jun 2016 22:33:55 GMT

Mon, 20 Jun 2912 09:40:09 GMT

 

Thu, 22 Sep 2016 14:20:41 GMT

Thu, 22 Sep 2912 07:30:10 GMT

 

Wed, 21 Dec 2016 10:44:00 GMT

Wed, 21 Dec 2912 20:21:17 GMT

 

Then the 834-year cycle:

 

Sun, 20 Mar 2016 04:29:48 GMT 

Sun, 20 Mar 2850 07:43:41 GMT

 

Mon, 20 Jun 2016 22:33:55 GMT

Mon, 20 Jun 2850 10:03:57 GMT

 

Thu, 22 Sep 2016 14:20:41 GMT

Thu, 22 Sep 2850 07:30:14 GMT

 

Wed, 21 Dec 2016 10:44:00 GMT

Wed, 21 Dec 2850 19:17:51 GMT

 

I see that by choosing a Gregorian leap year as the start year of the cycle, the Gregorian date does not change over the cycle. For any start year, one can check the day of week and that’s why I showed it in bold.

 

Karl

 

15(14(24

 

From: East Carolina University Calendar discussion List [[hidden email]] On Behalf Of Brij Bhushan metric VIJ
Sent: 27 July 2016 18:35
To: [hidden email]
Subject: Brij Home Page & calculations Re: French Republican Equinox Leap Years RE: French Republican Leap Year Compromise? RE: ...

 

Karl & calendar people:

This gives me some satisfaction that my inputs, as discussed and placed at my home page: http://www.brijvij.com/ have remained under constant examination and/or review digging 'historic back ground' for Reform of the Gregorian calendar my inputs have possibly been the best so far "using my developed 896-year cycle or the 834-year cycle; along with Divide Six(6) option for placing a Leap week, as also on slight modification of LeapDay Rule from -div4/skip100th/count400th to more appropriate div4/skip128th-years can usefully result in getting Mean Year =365+31/128=365.2421875 days. This does not need any further adjustment like the 4000-th year to set the Astronomic clock in tune with possibly the best calculations so far: at little or No Cost to the Tax-Payer. This becomes the Simplest, Surest and Cheapest ever proposal for the Reform of Gregorian calendar. 

Permit me to assume, sirs, while attempting to dig past history of calendars- my inputs have not been ignored by calendar experts and the World Calendar Organisation - especially when my inputs provide solutions to: (a) Decimalisation of Timeof the HOUR i.e. The Hour-Angle, Radian and the value for Pi; (b) No change to dail face/No reworking for trigonometric & mathematical functions; (c) No change to 7-day week EXCEPT shifting the day of July 31 as February 29 (all years) but keeping 365th day and the LeapDay (366th) if used between June 30th & July 01; (d) Not disturbing the the current

Length of days in each month per Keplers Laws of Plentary bodies - maintaining the 'Fist Rule' as learning aid among all classes of children and the lady at Home; (e) I find NO difficulty in using my worked Phase/or Tithi values linked to 19-years, 896-years or the Cycle of Precession linked to current duration of the Mean Lunar Month.

What more simplicity or ease for the Reform of Gregorian calendar can be 'thought/ incorporated/implemented, is my view?

My profound regards to all calendar experts who have been constant 'critics' of my proposed inputs. I salute them all, being a Soldier fighting for a cause?

Brij Bhushan (metric) VIJ

[hidden email]

Sent from my iPhone


On Jul 27, 2016, at 8:03 AM, Karl Palmen <[hidden email]> wrote:

Dear Calendar People

 

I found that the Fourmilab calendar converter

https://www.fourmilab.ch/documents/calendar/  converts the French Republican Calendar according to the equinox rule.

 

I found it fitted with the leap years:

003, …, 015,  020, …, 048,  053, …, 077,  082, …, 110,  

115, …, 139,  144, …, 172,  177, …, 205,  210, …, 234,

239.

where “…” indicates once every 4 years in between, including the two years either side.

 

which reckoned.

 

The years shown began on the days I expected:

016: Thu, 24 Sep 1807   020: Mon, 23 Sep 1811

049: Tue, 23 Sep 1840   053: Sun, 22 Sep 1844

078: Thu, 23 Sep 1869   082: Mon, 22 Sep 1873

111: Tue, 24 Sep 1902   115: Sun, 23 Sep 1906

140: Thu, 24 Sep 1931   144: Mon, 23 Sep 1935

173: Wed, 23 Sep 1964   177: Sun, 22 Sep 1968

206: Mon, 23 Sep 1997   210: Sat, 22 Sep 2001

235: Wed, 23 Sep 2026   239: Sun, 22 Sep 2030

 

Karl

 

15(14(23

 

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