I have these three examples of pink and pink & white coral. The coral beads on the left were purchased in Hawaii about 30 years ago, and I think it is the "more vibrant pink" coral that Jamey mentions. Very inexpensive at the time, maybe $9 for the necklace.

The small branch pieces in the center were sold to me very recently as angel skin coral. I'm not an expert so I don't know if this is accurate.

The cross is probably at least 50-60 years old and I purchased it about 5 years ago. It was sold to me as angel skin coral as well. It is a signed Native American piece. The pink color does not match the pink on the Hawaii necklace at all. The color rendition did not come out well - this coral is much more of a peach color than it shows (on my monitor at least).

As I said I'm not an expert, but recently I was looking high and low for some angel skin coral beads, and I did not find any of the size and shape of your graduated rounds necklace. I found only small beads & pieces and cabs. Note added: I was looking for inexpensive beads - there are a lot offered in the thousand-dollar range.