Lunar Calendar for Some Calendar Reforms

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Lunar Calendar for Some Calendar Reforms

Karl Palmen

Dear Calendar People

 

I found a fairly simple lunar calendar, which can be used with a solar calendar that has exactly 52 weeks in a year, such as the World Calendar or the International Fixed Calendar.

 

Each of these calendar reforms has 364 days in each year that are a normal day of the calendar week plus one or two days that are not a normal day of the calendar week. I’ll call the days that are a normal day of the calendar week regular days. Each year then has 364 regular days.

 

The months of the lunar calendar are grouped into dwarf-years of normally 7 months, so that the odd-numbered months of the dwarf-year have 29 regular days and the even-numbered months of the dwarf-year have 30 regular days. Also every month begins with a regular day.

 

Every 13th dwarf-year has 9 months and all other dwarf-years have 7 months.

 

The resulting cycle has 93 months equal to 391 calendar weeks. This cycle is one calendar week longer than seven and a half years. Every 9-month dwarf year begins on the same day of the calendar week.

52 of these cycles form a 391-year cycle of 4836 months = 403 lunar years = 676 dwarf-years.  

 

For the World Calendar, International Fixed Calendar or any other such calendar that uses the Gregorian year the mean month =

 

(391/4836)*365.2425 = 29.530566… days.

 

The calendar could be made more accurate by occasionally having a 9-month dwarf-year occur 6 dwarf-years after the previous 9-month dwarf-year instead of the usual 13 dwarf-years. Every 9-month dwarf year would still begin on the same day of the calendar week. Having every 50th  9-month dwarf-year occur 6 dwarf-years after, would create a 372-year cycle and mean month of 29.53058248… days. Having every 24th would produce a 353-year cycle with mean month of 29.53060… days.

 

Karl

 

16(08(25

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Harappa Lunar Tithi Calendar Re: Lunar Calendar for Some Calendar Reforms

Brij Bhushan metric VIJ
Karl, Walter, Irv list sits:
>For the World Calendar, International Fixed >Calendar or any other such calendar that >uses the Gregorian year the mean month =

 >(391/4836)*<a href="tel:365.2425" dir="ltr" x-apple-data-detectors="true" x-apple-data-detectors-type="telephone" x-apple-data-detectors-result="0" style="background-color: rgba(255, 255, 255, 0);">365.2425 = 29.530566…days.

     What ever is the expectation of 'this' exercise, I recall having discussed some ideas during my projecting 'Use of Tropico-sidereal aspect of using Sidereal Days for civil calendar, like the Gregorian calendar in my published contribution "Metric, Sidreal or Decimal calendar; V26 No.2&5; April 1992 - March 1993; The Standards Enginee; Bureau of Indian Standards, New Delhi; pp 44-47 wherein I pointed: Why was it that man never thought of using duration of Sidreal Day for use in a civil calendar?

    My recent exposition of 896-year/11082 Moons/327257+1 day Harappa Tithi Calendar having 326919 'tithi' using Tithi=1 338/336919 day (calculations shown below)

image1.JPG

- the format of which is already known to list members, on removing 13th date in every month of Gregorian calendar of (12x29 1/2=354 Tithi). This needs 68 1947/4779 cycles of 162-moons, each of 4779 tithi.

      5 1/2 lunar years make up for 1947 tithi; to complete one cycle of 11082 moons in 68 66/162 cycles - each of 13.5 lunar years. This combination results in Mean Year= 365.2421875 days; and Mean Lunation = 327258/11082=29.530590146183 days (29d 12h 44m 2s.98863).

Regards, 

Brij Bhushan metric VIJ, Author

Brij Gregorian Modified Calendar

Saturday, 2017 April 22H22:76 (decimal)


Sent from my iPhone

On Apr 21, 2017, at 5:08 AM, Karl Palmen <[hidden email]> wrote:

For the World Calendar, International Fixed Calendar or any other such calendar that uses the Gregorian year the mean month =

 

(391/4836)*365.2425 = 29.530566… days.