What it is
Mostly asymptotic-giant-branch stars — low- or intermediate-mass stars in their final pulsational phase, bloated and cool, shedding mass into a dusty wind — with red-giant-branch stars and red supergiants among the semiregular and irregular types. Miras are the large-amplitude, long-period, fairly regular end of the family; semiregulars (SR) pulse with smaller amplitude and looser coherence; slow irregulars (L) barely keep a period at all.