Period – absolute K magnitude diagram of the comparison sample of Uttenthaler et al. (2019). The symbol colours indicate the Tc classification and the chemical spectral type; see the legend. The symbol shape represents the variability type: circles for Miras and triangles for SRVs. The location of L₂ Pup is shown by the hourglass symbol. Over-plotted are LPV sequences from Soszyński et al. (2007): dashed lines: sequence C′; solid lines: sequence C; black: O-rich stars; red: C-rich stars. The solid green line is the relation of Galactic O-rich Miras with log(P) < 2.6 found by Sanders (2023). The dashed horizontal line indicates the RGB tip brightness ($M_{\mathrm{K},0}=-6\stackrel{\text{m}}{.}54$). The horizontal bar on the right-hand side indicates the orbital period range of L₂ Pup’s binary companion identified by Kervella et al. (2016), P_orb = 4.69 ± 0.45 yr. Grey dots in the background represent LPVs in the LMC from OGLE III; only their primary periods and 2MASS magnitudes are plotted. A distance modulus of $18\stackrel{\text{m}}{.}477$ to the LMC has been assumed to shift the LMC LPVs and the sequences to the absolute scale of the Galactic stars.