Is it Thanksgiving Cactus or Christmas Cactus?

I transplanted my cactus plant to new, rich soil and a larger part in late October. It was just coming out of the dormant period, to stimulate blooming. I was a little concerned that the roots would have to get somewhat re-established.

It seems the blooms that came in late November were a little bit thwarted. Not quite as sharp as last year. None the less the picture above shows relatively healthy bloom. Next year will be the real test.

A larger question for me is this: Is this plant traditionally a Thanksgiving bloom or more a Christmas bloom? Or does it depend entirely on when you place it in a cooler temperature and less light to trigger the bloom?