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immagine lunaRosh Chodesh indicates the beginning of the month in the jewish calendar.

Jewish year 5780 (2019-2020):

Rosh Chodesh CHESHVAN 29-30 October 2019
Rosh Chodesh KISLEV 28-29 November 2019
Rosh Chodesh TEVET 28-29 December 2019
Rosh Chodesh SHEVAT 27 January 2020
Rosh Chodesh ADAR 25-26 February 2020
Rosh Chodesh NISSAN 26 March 2020
Rosh Chodesh IYAR 24-25 April 2020
Rosh Chodesh SIVAN 24 May 2020
Rosh Chodesh TAMUZ 22-23 June 2020
Rosh Chodesh AV 22 July 2020
Rosh Chodesh ELUL 20-21 August 2020

 

Jewish year 5781 (2020-2021):

Rosh Chodesh CHESHVAN  18-19 October 2020
Rosh Chodesh KISLEV  17 November 2020
Rosh Chodesh TEVET  16 December 2020
Rosh Chodesh SHEVAT  14 January 2021
Rosh Chodesh ADAR  12 February 2021
Rosh Chodesh NISSAN  14 March 2021
Rosh Chodesh IYAR  12-13 April 2021
Rosh Chodesh SIVAN  12 May 2021
Rosh Chodesh TAMUZ  10-11 June 2021
Rosh Chodesh AV  10 July 2021
Rosh Chodesh ELUL  8-9 August 2021

Moses remained on the mountain for 40 days, until the 10th of Tishrei (Yom Kippur), during which time He obtained G-d's whole-hearted forgiveness and reconciliation with the people of Israel following their betrayal of the covenant between them with their worship of the Golden Calf. This was the third of Moses' three 40-day periods on Mount Sinai in connection with the Giving of the Torah. Ever since, the month of Elul serves as the "month of Divine mercy and forgiveness."
Font: chabad.org