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
CWDHE♭WFWGHA♭W+HBHC
What is true of it
C harmonic minor is C, D, E♭, F, G, A♭ and B, and back to C.
Its steps are W – H – W – W – H – W+H – H, where W is a whole step and H a half.
On the same tonic, C 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
CmminorDdimdiminishedDm7♭5half-diminished seventhE♭augaugmentedFmminorFdimdiminishedFm7minor seventhFm7♭5half-diminished seventh
Found by testing every chord in the catalogue against these 7 sounds, not chosen.
Other scales on C
C♯ harm minD♭ harm minD harm minD♯ harm minE♭ harm minE harm minF harm minF♯ harm minall 374