Great photos! I have one of these too and I can't even see, much less photograph, the blooms with such lovely detail.
As I think was suggested in another thread, this is probably Bulb. alagense or a close relative. I got mine very obviously incorrectly labeled (neither alagense nor 'rosary beads') from a certain vendor who sells plants under all 3 names, and AFAICT his are all the same thing!