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Lighter gauge for super short scale

Looking after a friends late 60's bass with a super short of 24.5" and having trouble getting it to intonation, the saddles are already all the way back and only the G string is close.
The rest are sharp by as much as 40 cent

Think they have the standard gauge of 45-100. Since its a much shorted scale length, would it make more sense to use lighter gauge strings, something like 35-85?
 
Yes, much lighter gauges will help. The intonation offset is a measure of the inherent stiffness of the string structure. Thicker strings and flatwounds are stiffer, thinner and/or more flexible strings don't need the saddles so far back. If you're using flats switch to rounds. Perhaps try DR round core Hi-beams or Sunbeams. Circle K Strings are known to be extremely flexible for their gauge and sell a big choice of balanced tension extra-light sets here: Link Removed

For a constant scientific tension, a short scale actually reduces floppiness, since the anchoring endpoints of the string are closer together. 20 pounds tension guitar strings feel tighter than 20 pounds tension bass strings on a 34" scale.