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.

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.

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 `
`Sun  4h 34m 15hl`
`Sun  2 Feb  2003g `
`Mon  3 Feb  2003g `
`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 `

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 `
`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 `

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 `
`Wed 10h 56m  4hl`
`Wed  9 Feb  2005g `
`Thu 10 Feb  2005g `
`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 `

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 `
`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 `

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 `
`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 `

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 `
`Thu  2h  6m  5hl`
`Wed  6 Feb  2008g `
`Thu  7 Feb  2008g `
`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 `

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 `
`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 `

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 `
`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 `

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 `
`Thu 17h 16m  6hl`
`Fri  4 Feb  2011g `
`Sat  5 Feb  2011g `
`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 `

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 `
`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 `

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 `
`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