Written out
Every accidental is written in, rather than left to a key signature, so the letters can be read one at a time.
The step pattern
AWBWC♯WD♯WE♯WF𝄪WA
What is true of it
A whole tone is A, B, C♯, D♯, E♯ and F𝄪, and back to A.
Its steps are W – W – W – W – W – W, where W is a whole step and H a half.
Written correctly it needs 5 alterations, F𝄪 among them. That is what the letters force, and it is also why nobody writes music in this key: the same notes spelled from the other side are easier to read.
Across the first twelve frets of the ukulele its notes fall in 26 places, which is what makes a scale a shape rather than a list.
Chords made only of these notes
Found by testing every chord in the catalogue against these 6 sounds, not chosen.