It sounds like what you are really looking for is "Chicago Tuning", which is basically guitar tuning on other instruments. This tuning is often used by experienced guitar players so that they can quickly play various 4-string instruments. Normal Chicago Tuning on a 4-string instrument that has a scale length similar to guitar would be DGBE, or the same as the high or first 4 strings on a guitar.
On the mandolin, to avoid having to re-setup the whole instrument, you'll be best off tuning the four mandolin courses, low to high, to GCEA, or, like the high or first four strings of a guitar with a capo at the 5th fret. This tuning is convenient because it leaves the lowest mandolin course at it's normal tuning (G) and basically down-tunes everything else. You'll loose about 7 half-steps off the top end of the normal mandolin voicing with this tuning (by tuning the high E down to A).
Normal mandolin strings will work this way, but you'll probably get better tone from the instrument using higher tension strings for the E and A courses (formerly the A and E courses)...
As mentioned by
@Scotter, I routinely use a similar tuning on my mandolins (GCEG), and use custom-ordered non-wound .017 and .015 loop end strings for my E and G courses (formerly the A and E courses). And I know for certain these same strings will also work for Chicago tuning because I've tried them that way -- the only difference from my GCEG tuning is tuning the high G (.015) course up a step to A, which works fine without string breakage.
These higher tension .017 and .015 strings do sound much better than standard mandolin guages in these non-standard tunings. They will not, however, successfully tune up to normal mandolin tuning without breaking, so once you have them on, you'll want to stay in Chicago Tuning until you change strings back to normal mandolin strings. Also note that the normal mandolin A and E strings frequently will break at the tuner post if de-tuned and re-tuned multiple times. So going back and forth between Chicago Tuning and normal mandolin tuning with normal mandolin strings will often result in broken strings.
The scale length on the mandolin is short, and you'll find that space between the frets is pretty small especially as you get above the 12th fret. In my GCEG tuning, I do a lot of barre-chord chord-melody work up and down the neck which works very nicely.
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