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
D♯WE♯HF♯WG♯WA♯WB♯HC♯WD♯
What is true of it
D♯ Dorian is D♯, E♯, F♯, G♯, A♯, B♯ and C♯, and back to D♯.
Its steps are W – H – W – W – W – H – W, where W is a whole step and H a half.
It costs 7 alterations to write — near the limit of what a key signature can carry.
On the same tonic, D♯ natural minor differs from it by exactly one note.
Across the first twelve frets of the ukulele its notes fall in 29 places, which is what makes a scale a shape rather than a list.
Chords made only of these notes
C♯majorC♯maj7major seventhD♯mminorD♯m7minor seventhF♯majorF♯maj7major seventhG♯majorG♯7dominant seventh
Found by testing every chord in the catalogue against these 7 sounds, not chosen.