This Rosh Chodesh has its own niggun, written on this date in 1999/5759.
On this day:
In the third month after the Israelites had gone forth from the land of Egypt, on that very day, they entered the wilderness of Sinai. Having journeyed from Rephidim, they entered the wilderness of Sinai and encamped in the wilderness. Israel encamped there in front of the mountain.