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Jewish year 5784 (2023-2024):

Rosh Chodesh CHESHVAN 15-16 October 2023
Rosh Chodesh KISLEV 14 November 2023
Rosh Chodesh TEVET 13 December 2023
Rosh Chodesh SHEVAT 11 January 2024
Rosh Chodesh ADAR I 9-10 February 2024
Rosh Chodesh ADAR II 10-11 March 2024
Rosh Chodesh NISSAN 9 April 2024
Rosh Chodesh IYAR 8-9 May 2024
Rosh Chodesh SIVAN 7 June 2024
Rosh Chodesh TAMUZ 6-7 July 2024
Rosh Chodesh AV 5 August 2024
Rosh Chodesh ELUL 3-4 September 2024

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