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
FWGHA♭WB♭WCWDHE♭WF
What is true of it
F Dorian is F, G, A♭, B♭, C, D and E♭, and back to F.
Its steps are W – H – W – W – W – H – W, where W is a whole step and H a half.
On the same tonic, F natural minor differs from it by exactly one note.
Across the first twelve frets of the ukulele its notes fall in 30 places, which is what makes a scale a shape rather than a list.
Chords made only of these notes
CmminorCm7minor seventhDdimdiminishedDm7♭5half-diminished seventhE♭majorE♭maj7major seventhFmminorFm7minor seventh
Found by testing every chord in the catalogue against these 7 sounds, not chosen.