OK, I think I'm done with this tension "exercise" - unless there are errors to be corrected of string makers other than Aquila or D'Addario give accurate tension numbers. What follows is what is at
https://ed1.cc/Ukulele/StringTension
The Tension that is bold is the uke size recommended by the manufacturer for that string set.
There are two approaches in this table for string tension:
The first approach is the tension listed by the manufacturer is highlighted in yellow. This allows the other size ukuleles to be calculated by the following (Currently this is true only for Aquila and D'Addario):
Going from soprano to concert multiply by 1.33136
Going from concert to tenor multiply by 1.28444
Going from soprano to tenor multiply by 1.71006
Going from concert to soprano multiply by 0.75111
Going from tenor to concert multiply by 0.77855
Going from tenor to soprano multiply by 0.58478
The second approach is to use the string size, when only that is given, with the formula:
tension = (Frequency2 * Length2 * diameter2 * density2) / 3122
Unfortunately, the densities of any one type of string may be slightly different and the constant my not be completely accurate.
The % Tension of Column Max picks out the highest tension number in the column and gives it 100% and then gives the rest of the column the % ratio to that 100%. The colors go from the lowest tensions in dark green to the highest (100%) in bright red.
The problem with needing two approaches for string tension is that the % Tension of column Max may not be accurate for all strings. The idea of this column was that you could look down a column for a string (the “G” string for example) and see visually how the tensions related for all manufacturers of that string. However, at this time the only ones that would be accurate to relatively compare would be the Aquila and D’Addario strings where the tensions are highlighted in yellow. Also, tensions are probably incorrect for wound strings and other tunings than re-entrant C6.
The main tension pdf is at
http://ed1.cc/Ukulele/StringTension/UkuleleStringTensions.pdf
For those who are interested in the Aquila and D’Addario actual tensions not interspersed with the tensions from another string's formula, that is at
http://ed1.cc/Ukulele/StringTension/Aquila-D'AddarioTensions.pdf
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I plan to only update the OP in the future unless there is another error or more actual tensions (not from a formula for size/density) that need to be pointed out to everyone.
Thanks to those who helped correct the many errors