This is a beautiful instrumental piece performed by "Tofa'ah" - Israel's leading all-woman band. Available at CDBABY.
The song is also featured in the video clip called "A Tribute to Artists" by Artful Vagabond
I wrote an accompanying poem in Hebrew and English. Here is the English version:
NEW MOON c 1983 Ann R.S. Limor
With each new moon comes a new woman.
Life is a cycle she carries within her.
Celebrate your covenant with God.
You are unique and full
As the moon is light in the darkness.
Flow with new life of coming months.