Frank W. Nelte

# Jewish Calendar Tutorial Worksheet 1 (2013)

**YEAR BEING CALCULATED:2013**

**PART I: CALCULATION OF THE DAY OF THE WEEK FOR THE MOLAD**

**1.**STARTING DATE YEAR: 3761 B.C.

STARTING DATE MOLAD OF TISHRI: OCTOBER 7 or SEPTEMBER 37

STARTING DATE EXACT TIME: D2 H5 P204

**2.**YEAR BEING CALCULATED:2013

**3.**THE DIFFERENCE IN YEARS:3761 - 1 + 2013 = 5773 YEARS

[Comment: When calculating the molad for A.D. years, always subtract 1 because there is no "Year 0" in the "B.C. - A.D. scale."]

**4.**CONVERT THIS DIFFERENCE INTO THE NUMBER OF 19-YR CYCLES

PLUS REMAINING COMMON YEARS AND LEAP YEARS:

5773 / 19 = 303 cycles plus a remainder of 16 years

The sequence of leap years today is: 3, 6, 8, 11, 14, 17, 19

Therefore the remainder of 16 years = 11 Common Years + 5 Leap Years

**5.**CALCULATE THE DIFFERENCE BETWEEN THESE TWO DATES TO FIND THE CORRECT DAY OF THE WEEK FOR THE MOLAD.

COMMENT: For calculation purposes turn all periods of time into "Parts". The numbers will be larger, but the calculating processes will be much easier. In large numbers every 3 digits are separated by commas for easier recognition of the numbers. See also the Data File for the actual data needed here for the calculations.

**6.**FIRST CONVERT ALL PERIODS OF TIME INTO PARTS.

A.PER CYCLE: A Jewish 19-Year Cycle exceeds a full number of weeks by 2 Days 16 Hours 595 Parts. This is written as 2D 16H 595P.

THUS: 2D = 2x24 = 48 HOURS plus 16 HOURS = 64 HOURS

64 x 1080 = 69120 PARTS plus 595P = 69,715P

B.PER COMMON YEAR: A common year exceeds a full number of weeks by 4 Days 8 Hours 876 Parts. This is written as 4D 8H 876P.

THUS: 4D x 24 = 96H plus 8H = 104H

104 x 1080 = 112320 PARTS plus 876P = 113,196P

C.PER LEAP YEAR: A (Jewish) leap year exceeds a full number of weeks by 5 Days 21 Hours 589 Parts. This is written as 5D 21H 589P.

THUS: 5D x 24 = 120H plus 21H = 141H

141 x 1080 = 152280 PARTS plus 589P = 152,869P

**7.**NOW WE CAN START WITH THE CALCULATIONS FOR OUR YEAR.

A. FOR THE NUMBER OF CYCLES:

303 x 69,715P = 21,123,645P

B. FOR THE COMMON YEARS:

11 x 113,196P = 1,245,156P

C. FOR THE LEAP YEARS:

5 x 152,869P = 764,345P

**8.**TOTAL UP THESE 3 AMOUNTS OF TIME:

21,123,645 + 1,245,156 + 764,345 = 23,133,146P

**9.**CONVERT THE RESULT BACK INTO "WEEKS, DAYS, HOURS, PARTS":

23,133,146 / 1080 = 21,419 HOURS plus 626P

21,419 / 24 = 892 DAYS plus 11H

892 / 7 = 127 WEEKS plus 3D

**10.**FROM THIS RESULT DISCARD THE FULL NUMBER OF WEEKS:

THUS THE RESULT IS: 3D 11H 626P

**11.**ADD THIS REMAINDER TO THE STARTING DATE:

D2 H5 P204 plus 3D 11H 626P = D5 H16 P830

**12.**IF THE TOTAL IS 8 DAYS OR MORE, THEN DISCARD 7 DAYS, OTHERWISE KEEP THIS RESULT: D5 H16 P830

**13.**THE RESULT YOU HAVE IS THE DAY OF THE WEEK AND THE EXACT TIME OF THAT DAY FOR THE JEWISH MOLAD OF TISHRI FOR THIS YEAR.

**14.**ENTER THE RESULT HERE IN THE FORMAT: D H P: D5 H16 P830

THIS IS EQUAL TO: THURSDAY, 10:46:07 a.m.

[Comment: Day 1 = Sunday, Day 7 = Saturday; H0 = 6:00 p.m., H6 = midnight; H12 = 6:00 a.m., etc.]

You have now completed the first part of the calculation of the Molad for the year 2013 A.D. That wasn't very difficult was it? Make a note of the HOURS and PARTS in this result. (i.e. the H16 P830)

[Comment: In programs that reckon days from midnight to midnight this will appear as H10 P830.]

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