... LPVs

Based on data from the HIPPARCOS astrometry satellite.

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... convection

Wood's periods increase much faster than ours withluminosity and metallicity.

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... sub-sets

The calculation of the means excludes one SMC-like star lying right in between the two subsets, and three outlyingLMC-like stars.

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... rate

New calculations performed while allowing $\Delta\log P$ to vary with the luminosity have shown that $\alpha$ can not decrease by more than 8% per magnitude along the AGB if the mean mass of the 1st overtone pulsators is required to be $\ge 0.5~M_\odot$.

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... wrong

The same remark holds a fortiori for the calculations based on Wood's code, which give both modes about the same shift.

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