According to Ammeter, the Zn electrode is cathode while M is anode, so :delta:E=EMn+/M-EZn2+/Zn.
EZn2+/Zn=Eθ+(0.0592/2)lg[Zn2+]. Zn2+ molarity in acidic environment is higher than that in basic one due to hydrolysis intensity of ZnCl2 :Zn2+ + 2H2O ::equil::Zn(OH)2 + 2H+ compared with ionization degree as Zn(OH)42- ::equil::Zn2+ + 4OH-, so looking back to Arrnest equation, EZn2+/Zn in acidic environment is higher than that in basic environment. I think EMn+/M doesn't change though I still don't know how it runs, then :delta:E will drop in acidic condition excepting when anode is Fe and why it is abnormal for Fe? I don't know. Moreover, Ksp should be considered, while solution's pH is basic, the number of Zn2+ will decrease with pH increaseing.