It's like nobody reads any of my posts about strings since like forever with the replies here. Sometimes I wonder if I should just go and delete at least half of my 5,000+ posts, lots of them about strings.
From hands-on experience with over 100 different sets of strings in all scale lengths, except for zztush above, I have to say that all of you are misinformed and seem to be going by the label on the string pack instead of string tension and diameter (linear density) which has nothing to do with the label on the string pack other than it being a function of retail packaging and marketing, while also saving you from having to do calculus to figure out which strings to buy.
FOR EXAMPLE, both Oasis and Worth, sell strings that are of a set that can be use without issues on all scale lengths.
by the power of GreySkull!!! they work just fine on soprano (23 lbs total tension), concert (28lbs total tension) and tenor (34lbs total tension) without causing ANY damage to the uke.
In this case a single set works AND intonates well BECAUSE of the added tension on the longer scale lengths.
Intonation accuracy is a function of BOTH the string tension/diameter as well as the frets being spaced properly in addition to string geometry from nut to saddle, but STRING TENSION will mitigate problems with a badly spaced fretboard.
What in fact ZZTUSH is showing you is first the string tension of 'tenor' strings on a tenor uke, and then the LOWER string tension of the SAME set of strings on a soprano uke.
So ask yourself HOW CAN LOWER tension damage the soprano??????????????
The big fat secret is: it won't, DESPITE being thicker, than soprano strings, the shorter scale length has LESS tension, EVEN WITH, OMG big fat evil tenor strings....
Just think about it.
Link in my signature below has more info, but I suspect that somehow this info is all rendered invisible now that the leaves are falling in the Northern USA as Autumn gets underway.
So I walk away, maybe I should not have commented on this thread, but I cannot let misinformation spread, since it's all fun and games until someone gets poked in the eye.