The Moladot

by Remy Landau

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...

the integer of (235 * HY - 234) / 19

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
Month	Moment of Molad	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
Month	Moment of Molad	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
Month	Moment of Molad	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
Month	Moment of Molad	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
Month	Moment of Molad	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
Month	Moment of Molad	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
Month	Moment of Molad	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
Month	Moment of Molad	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
Month	Moment of Molad	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
Month	Moment of Molad	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
Month	Moment of Molad	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

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Remy Landau

First  Paged 26 Apr 1998
Next Revised 18 Nov 2007