The time of the molad for any month is exactly 29d 12h 793p more than the time of the molad of the immediately preceding month.
The times of the moladot form an arithmetic progression in which one of the terms of that progression is given as BaHaRaD (2d 5h 204p), corresponding to the molad of Tishrei 1H (Mon 7 Sep -3760g).
The difference between successive terms in that progression is the time of the mean lunation period given as 29d 12h 793p.
For any given month of any given year, the time of its molad can be determined by multiplying the mean lunation period with the number of months that have preceded it since year 1H, and then adding BaHaRaD to that product.
The number of months up to year HY can be calculated using the following formula which is suggested by Wolfgang Alexander Shocken on page 35 of his book The Calculated Confusion of Calendars...
You then multiply the mean lunation time of 29d 12h 793p by the integer result for the total number of months.
To that time is added the value of BaHaRad, and the result provides you with the time of the molad of Tishrei for any Hebrew year HY.
To get the time of the molad for a specific month in the year HY, multiply the mean lunation period by the number of months that have elapsed since Tishrei of that year, and then add the product to the molad of Tishrei.
That value when reduced to days (0 to 6); hours (0 to 23); parts (0 to 1079) will give you the time of the molad for target year HY.
If you already know the time of the molad for a given month, then just add the mean lunation period to that time to get the time of the molad for the next month.
The total number of days is then divided by 7 and the remainder is the day of the week of the molad for that month.
In the following tables, the parts are further reduced into minutes and halaqim which are denoted by the hl suffix. There are 18 halaqim to the minute.
Halaqim and parts are the same units of time, each unit being 3 and 1/3 seconds, that is, 1 / 18th of one minute.
The Halaqim Progression
It is interesting to note that from month to month the halaqim ascend by exactly one heleq, going from 0 to 17 in perfect cyclical order.
29d 12h 793p equals 765,433 halaqim. Hence, the number of halaqim which are added to the time of the molad from month to month is 765,433.
When 765,433 is divided by 18 there is a remainder of 1, thus resulting in the single heleq difference from month to month.
An interesting bit of calendar trivia is that the number of halaqim in one month can be expressed as 765432 + 1, thus making that number very easy to remember and linking it indirectly to the number of week days.
See also Cycles and Moladot.
Rosh Hodesh
The 30th day of any Hebrew month is always observed as Rosh Hodesh. If the month is 30 days long, then the next day, which is the first day of the new Hebrew month, will also be observed as Rosh Hodesh.
The 30th day of any 29 day month is clearly the first day of the next month.
The first day of Tishrei is Rosh HaShana and therefore is not observed as Rosh Hodesh.
The time shown for the Moment of Molad is the formal result of the Halachic (i.e. Rabbinically mandated) calculation of the molad, as documented in Chapters 6-8 of Maimonides' Hilkhot Qiddush HaHodesh (4935H/1175g).
To convert the times shown in these tables into times on the civilian clock, subtract 6 hours. If there are less than 6 hours in the traditional time, then add 18 hours to that time and subtract one from the week day.
The Moladot for 5763H | |||
---|---|---|---|
Month | Moment of Molad | The Roshei Hadashim | |
30th Day Previous Month | 1st Day Present Month | ||
Tishrei | Sat 12h 54m 10hl |
  | Sat 7 Sep 2002g |
Heshvan | Mon 1h 38m 11hl |
Sun 6 Oct 2002g | Mon 7 Oct 2002g |
Kislev | Tue 14h 22m 12hl |
Tue 5 Nov 2002g | Wed 6 Nov 2002g |
Tevet | Thu 3h 6m 13hl |
Thu 5 Dec 2002g | Fri 6 Dec 2002g |
Shevat | Fri 15h 50m 14hl |
  | Sat 4 Jan 2003g |
Adar | Sun 4h 34m 15hl |
Sun 2 Feb 2003g | Mon 3 Feb 2003g |
v'Adar | Mon 17h 18m 16hl |
Tue 4 Mar 2003g | Wed 5 Mar 2003g |
Nisan | Wed 6h 2m 17hl |
  | Thu 3 Apr 2003g |
Iyar | Thu 18h 47m 0hl |
Fri 2 May 2003g | Sat 3 May 2003g |
Sivan | Sat 7h 31m 1hl |
  | Sun 1 Jun 2003g |
Tammuz | Sun 20h 15m 2hl |
Mon 30 Jun 2003g | Tue 1 Jul 2003g |
Av | Tue 8h 59m 3hl |
  | Wed 30 Jul 2003g |
Elul | Wed 21h 43m 4hl |
Thu 28 Aug 2003g | Fri 29 Aug 2003g |
The Moladot for 5764H | |||
---|---|---|---|
Month | Moment of Molad | The Roshei Hadashim | |
30th Day Previous Month | 1st Day Present Month | ||
Tishrei | Fri 10h 27m 5hl |
  | Sat 27 Sep 2003g |
Heshvan | Sat 23h 11m 6hl |
Sun 26 Oct 2003g | Mon 27 Oct 2003g |
Kislev | Mon 11h 55m 7hl |
Tue 25 Nov 2003g | Wed 26 Nov 2003g |
Tevet | Wed 0h 39m 8hl |
Thu 25 Dec 2003g | Fri 26 Dec 2003g |
Shevat | Thu 13h 23m 9hl |
  | Sat 24 Jan 2004g |
Adar | Sat 2h 7m 10hl |
Sun 22 Feb 2004g | Mon 23 Feb 2004g |
Nisan | Sun 14h 51m 11hl |
  | Tue 23 Mar 2004g |
Iyar | Tue 3h 35m 12hl |
Wed 21 Apr 2004g | Thu 22 Apr 2004g |
Sivan | Wed 16h 19m 13hl |
  | Fri 21 May 2004g |
Tammuz | Fri 5h 3m 14hl |
Sat 19 Jun 2004g | Sun 20 Jun 2004g |
Av | Sat 17h 47m 15hl |
  | Mon 19 Jul 2004g |
Elul | Mon 6h 31m 16hl |
Tue 17 Aug 2004g | Wed 18 Aug 2004g |
The Moladot for 5765H | |||
---|---|---|---|
Month | Moment of Molad | The Roshei Hadashim | |
30th Day Previous Month | 1st Day Present Month | ||
Tishrei | Tue 19h 15m 17hl |
  | Thu 16 Sep 2004g |
Heshvan | Thu 8h 0m 0hl |
Fri 15 Oct 2004g | Sat 16 Oct 2004g |
Kislev | Fri 20h 44m 1hl |
  | Sun 14 Nov 2004g |
Tevet | Sun 9h 28m 2hl |
  | Mon 13 Dec 2004g |
Shevat | Mon 22h 12m 3hl |
  | Tue 11 Jan 2005g |
Adar | Wed 10h 56m 4hl |
Wed 9 Feb 2005g | Thu 10 Feb 2005g |
v'Adar | Thu 23h 40m 5hl |
Fri 11 Mar 2005g | Sat 12 Mar 2005g |
Nisan | Sat 12h 24m 6hl |
  | Sun 10 Apr 2005g |
Iyar | Mon 1h 8m 7hl |
Mon 9 May 2005g | Tue 10 May 2005g |
Sivan | Tue 13h 52m 8hl |
  | Wed 8 Jun 2005g |
Tammuz | Thu 2h 36m 9hl |
Thu 7 Jul 2005g | Fri 8 Jul 2005g |
Av | Fri 15h 20m 10hl |
  | Sat 6 Aug 2005g |
Elul | Sun 4h 4m 11hl |
Sun 4 Sep 2005g | Mon 5 Sep 2005g |
The Moladot for 5766H | |||
---|---|---|---|
Month | Moment of Molad | The Roshei Hadashim | |
30th Day Previous Month | 1st Day Present Month | ||
Tishrei | Mon 16h 48m 12hl |
  | Tue 4 Oct 2005g |
Heshvan | Wed 5h 32m 13hl |
Wed 2 Nov 2005g | Thu 3 Nov 2005g |
Kislev | Thu 18h 16m 14hl |
  | Fri 2 Dec 2005g |
Tevet | Sat 7h 0m 15hl |
Sat 31 Dec 2005g | Sun 1 Jan 2006g |
Shevat | Sun 19h 44m 16hl |
  | Mon 30 Jan 2006g |
Adar | Tue 8h 28m 17hl |
Tue 28 Feb 2006g | Wed 1 Mar 2006g |
Nisan | Wed 21h 13m 0hl |
  | Thu 30 Mar 2006g |
Iyar | Fri 9h 57m 1hl |
Fri 28 Apr 2006g | Sat 29 Apr 2006g |
Sivan | Sat 22h 41m 2hl |
  | Sun 28 May 2006g |
Tammuz | Mon 11h 25m 3hl |
Mon 26 Jun 2006g | Tue 27 Jun 2006g |
Av | Wed 0h 9m 4hl |
  | Wed 26 Jul 2006g |
Elul | Thu 12h 53m 5hl |
Thu 24 Aug 2006g | Fri 25 Aug 2006g |
The Moladot for 5767H | |||
---|---|---|---|
Month | Moment of Molad | The Roshei Hadashim | |
30th Day Previous Month | 1st Day Present Month | ||
Tishrei | Sat 1h 37m 6hl |
  | Sat 23 Sep 2006g |
Heshvan | Sun 14h 21m 7hl |
Sun 22 Oct 2006g | Mon 23 Oct 2006g |
Kislev | Tue 3h 5m 8hl |
Tue 21 Nov 2006g | Wed 22 Nov 2006g |
Tevet | Wed 15h 49m 9hl |
Thu 21 Dec 2006g | Fri 22 Dec 2006g |
Shevat | Fri 4h 33m 10hl |
  | Sat 20 Jan 2007g |
Adar | Sat 17h 17m 11hl |
Sun 18 Feb 2007g | Mon 19 Feb 2007g |
Nisan | Mon 6h 1m 12hl |
  | Tue 20 Mar 2007g |
Iyar | Tue 18h 45m 13hl |
Wed 18 Apr 2007g | Thu 19 Apr 2007g |
Sivan | Thu 7h 29m 14hl |
  | Fri 18 May 2007g |
Tammuz | Fri 20h 13m 15hl |
Sat 16 Jun 2007g | Sun 17 Jun 2007g |
Av | Sun 8h 57m 16hl |
  | Mon 16 Jul 2007g |
Elul | Mon 21h 41m 17hl |
Tue 14 Aug 2007g | Wed 15 Aug 2007g |
The Moladot for 5768H | |||
---|---|---|---|
Month | Moment of Molad | The Roshei Hadashim | |
30th Day Previous Month | 1st Day Present Month | ||
Tishrei | Wed 10h 26m 0hl |
  | Thu 13 Sep 2007g |
Heshvan | Thu 23h 10m 1hl |
Fri 12 Oct 2007g | Sat 13 Oct 2007g |
Kislev | Sat 11h 54m 2hl |
  | Sun 11 Nov 2007g |
Tevet | Mon 0h 38m 3hl |
  | Mon 10 Dec 2007g |
Shevat | Tue 13h 22m 4hl |
  | Tue 8 Jan 2008g |
Adar | Thu 2h 6m 5hl |
Wed 6 Feb 2008g | Thu 7 Feb 2008g |
v'Adar | Fri 14h 50m 6hl |
Fri 7 Mar 2008g | Sat 8 Mar 2008g |
Nisan | Sun 3h 34m 7hl |
  | Sun 6 Apr 2008g |
Iyar | Mon 16h 18m 8hl |
Mon 5 May 2008g | Tue 6 May 2008g |
Sivan | Wed 5h 2m 9hl |
  | Wed 4 Jun 2008g |
Tammuz | Thu 17h 46m 10hl |
Thu 3 Jul 2008g | Fri 4 Jul 2008g |
Av | Sat 6h 30m 11hl |
  | Sat 2 Aug 2008g |
Elul | Sun 19h 14m 12hl |
Sun 31 Aug 2008g | Mon 1 Sep 2008g |
The Moladot for 5769H | |||
---|---|---|---|
Month | Moment of Molad | The Roshei Hadashim | |
30th Day Previous Month | 1st Day Present Month | ||
Tishrei | Tue 7h 58m 13hl |
  | Tue 30 Sep 2008g |
Heshvan | Wed 20h 42m 14hl |
Wed 29 Oct 2008g | Thu 30 Oct 2008g |
Kislev | Fri 9h 26m 15hl |
  | Fri 28 Nov 2008g |
Tevet | Sat 22h 10m 16hl |
Sat 27 Dec 2008g | Sun 28 Dec 2008g |
Shevat | Mon 10h 54m 17hl |
  | Mon 26 Jan 2009g |
Adar | Tue 23h 39m 0hl |
Tue 24 Feb 2009g | Wed 25 Feb 2009g |
Nisan | Thu 12h 23m 1hl |
  | Thu 26 Mar 2009g |
Iyar | Sat 1h 7m 2hl |
Fri 24 Apr 2009g | Sat 25 Apr 2009g |
Sivan | Sun 13h 51m 3hl |
  | Sun 24 May 2009g |
Tammuz | Tue 2h 35m 4hl |
Mon 22 Jun 2009g | Tue 23 Jun 2009g |
Av | Wed 15h 19m 5hl |
  | Wed 22 Jul 2009g |
Elul | Fri 4h 3m 6hl |
Thu 20 Aug 2009g | Fri 21 Aug 2009g |
The Moladot for 5770H | |||
---|---|---|---|
Month | Moment of Molad | The Roshei Hadashim | |
30th Day Previous Month | 1st Day Present Month | ||
Tishrei | Sat 16h 47m 7hl |
  | Sat 19 Sep 2009g |
Heshvan | Mon 5h 31m 8hl |
Sun 18 Oct 2009g | Mon 19 Oct 2009g |
Kislev | Tue 18h 15m 9hl |
Tue 17 Nov 2009g | Wed 18 Nov 2009g |
Tevet | Thu 6h 59m 10hl |
Thu 17 Dec 2009g | Fri 18 Dec 2009g |
Shevat | Fri 19h 43m 11hl |
  | Sat 16 Jan 2010g |
Adar | Sun 8h 27m 12hl |
Sun 14 Feb 2010g | Mon 15 Feb 2010g |
Nisan | Mon 21h 11m 13hl |
  | Tue 16 Mar 2010g |
Iyar | Wed 9h 55m 14hl |
Wed 14 Apr 2010g | Thu 15 Apr 2010g |
Sivan | Thu 22h 39m 15hl |
  | Fri 14 May 2010g |
Tammuz | Sat 11h 23m 16hl |
Sat 12 Jun 2010g | Sun 13 Jun 2010g |
Av | Mon 0h 7m 17hl |
  | Mon 12 Jul 2010g |
Elul | Tue 12h 52m 0hl |
Tue 10 Aug 2010g | Wed 11 Aug 2010g |
The Moladot for 5771H | |||
---|---|---|---|
Month | Moment of Molad | The Roshei Hadashim | |
30th Day Previous Month | 1st Day Present Month | ||
Tishrei | Thu 1h 36m 1hl |
  | Thu 9 Sep 2010g |
Heshvan | Fri 14h 20m 2hl |
Fri 8 Oct 2010g | Sat 9 Oct 2010g |
Kislev | Sun 3h 4m 3hl |
Sun 7 Nov 2010g | Mon 8 Nov 2010g |
Tevet | Mon 15h 48m 4hl |
Tue 7 Dec 2010g | Wed 8 Dec 2010g |
Shevat | Wed 4h 32m 5hl |
  | Thu 6 Jan 2011g |
Adar | Thu 17h 16m 6hl |
Fri 4 Feb 2011g | Sat 5 Feb 2011g |
v'Adar | Sat 6h 0m 7hl |
Sun 6 Mar 2011g | Mon 7 Mar 2011g |
Nisan | Sun 18h 44m 8hl |
  | Tue 5 Apr 2011g |
Iyar | Tue 7h 28m 9hl |
Wed 4 May 2011g | Thu 5 May 2011g |
Sivan | Wed 20h 12m 10hl |
  | Fri 3 Jun 2011g |
Tammuz | Fri 8h 56m 11hl |
Sat 2 Jul 2011g | Sun 3 Jul 2011g |
Av | Sat 21h 40m 12hl |
  | Mon 1 Aug 2011g |
Elul | Mon 10h 24m 13hl |
Tue 30 Aug 2011g | Wed 31 Aug 2011g |
The Moladot for 5772H | |||
---|---|---|---|
Month | Moment of Molad | The Roshei Hadashim | |
30th Day Previous Month | 1st Day Present Month | ||
Tishrei | Tue 23h 8m 14hl |
  | Thu 29 Sep 2011g |
Heshvan | Thu 11h 52m 15hl |
Fri 28 Oct 2011g | Sat 29 Oct 2011g |
Kislev | Sat 0h 36m 16hl |
  | Sun 27 Nov 2011g |
Tevet | Sun 13h 20m 17hl |
Mon 26 Dec 2011g | Tue 27 Dec 2011g |
Shevat | Tue 2h 5m 0hl |
  | Wed 25 Jan 2012g |
Adar | Wed 14h 49m 1hl |
Thu 23 Feb 2012g | Fri 24 Feb 2012g |
Nisan | Fri 3h 33m 2hl |
  | Sat 24 Mar 2012g |
Iyar | Sat 16h 17m 3hl |
Sun 22 Apr 2012g | Mon 23 Apr 2012g |
Sivan | Mon 5h 1m 4hl |
  | Tue 22 May 2012g |
Tammuz | Tue 17h 45m 5hl |
Wed 20 Jun 2012g | Thu 21 Jun 2012g |
Av | Thu 6h 29m 6hl |
  | Fri 20 Jul 2012g |
Elul | Fri 19h 13m 7hl |
Sat 18 Aug 2012g | Sun 19 Aug 2012g |
The Moladot for 5773H | |||
---|---|---|---|
Month | Moment of Molad | The Roshei Hadashim | |
30th Day Previous Month | 1st Day Present Month | ||
Tishrei | Sun 7h 57m 8hl |
  | Mon 17 Sep 2012g |
Heshvan | Mon 20h 41m 9hl |
Tue 16 Oct 2012g | Wed 17 Oct 2012g |
Kislev | Wed 9h 25m 10hl |
  | Thu 15 Nov 2012g |
Tevet | Thu 22h 9m 11hl |
  | Fri 14 Dec 2012g |
Shevat | Sat 10h 53m 12hl |
  | Sat 12 Jan 2013g |
Adar | Sun 23h 37m 13hl |
Sun 10 Feb 2013g | Mon 11 Feb 2013g |
Nisan | Tue 12h 21m 14hl |
  | Tue 12 Mar 2013g |
Iyar | Thu 1h 5m 15hl |
Wed 10 Apr 2013g | Thu 11 Apr 2013g |
Sivan | Fri 13h 49m 16hl |
  | Fri 10 May 2013g |
Tammuz | Sun 2h 33m 17hl |
Sat 8 Jun 2013g | Sun 9 Jun 2013g |
Av | Mon 15h 18m 0hl |
  | Mon 8 Jul 2013g |
Elul | Wed 4h 2m 1hl |
Tue 6 Aug 2013g | Wed 7 Aug 2013g |
First Paged 26 Apr 1998 Next Revised 18 Nov 2007