I followed Alphonso's steps on the banjolele's similar solution. Comparing the strings of all ukulele's sizes using D'Addarios string tension data as a reference, the string type that could be tuned to these notes with minimal tension (among standard ukulele sizes and classic guitar) would be the Concert Ukulele strings. Taking the formula:
T(Tension) = (UW x (2 x L x F)^2)/386.4
we can see that the tension (in pounds) of a particular string will grow like this:
where F is the frequency to which we are tuning the open string, L the arm's length in inches, F0 the string's default tuning frequency (Hz) and L the arm length for which the string was designed.
I made a spreadsheet using values from D'Addario's J65 series
The tensions with default tuning, using D'Addario's J65S strings is:
If I just re ordered the Ukes original J65S strings to minimise the added tension and tuned them in DGBD, the tensions would be:
This nearly doubles the stress on the three first strings. The lowest tension I could get was with the J65C concert Uke strings:
The Tenor also gives tensions that are not that high or too low either (still, too much tension on string 1)
The increased stress on the 1st string is still too high. Therefore, it does not look like the 1st string will stay tuned like this for very long, to say the least. So, better get a cavaquinho or learn to play the uke with its default tuning.
There may be other strings in the market, but those strings used as examples were chosen for their ubiquity and detail rich specifications.
This tuner supports the most popular ukulele tunings, which you can select at the top. Standard tuning is gCEA, which is the most common ukulele tuning. The tuning aDF#B (called D tuning) is shifted two frets, and brings out a sweeter ukulele tone. The dGBE tuning is more common for larger ukuleles, and it will give you the same root notes as the top four strings on a guitar. The fA#DG tuning brings standard tuning down two frets.
Once you have selected a tuning, simply tap on the tuning pegs to ring out the root note for each string. Listen carefully and tune your ukulele to that note by ear. You can also use the microphone to tune according to your playing.
tap the tuning pegs