ΔE 27.3, loose: different enough that you should pick on purpose. Mummy White is noticeably darker, more muted, warmer than Pallid Bone.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 27). Mummy White is noticeably darker, more muted, warmer than Pallid Bone.
The same difference applies the other way round: Pallid Bone is noticeably lighter, more saturated, cooler.
ΔE is the colour difference between our two swatch estimates: under about 6 is close, over about 15 is loose. Real paints also differ in finish, coverage and how they thin, so test before you commit.
See Pallid Bone on the colour wheel See Mummy White on the colour wheel
All matches: Pallid Bone equivalents · Mummy White equivalents