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
G♯WA♯HBWC♯WD♯WE♯HF♯WG♯
What is true of it
G♯ Dorian is G♯, A♯, B, C♯, D♯, E♯ and F♯, and back to G♯.
Its steps are W – H – W – W – W – H – W, where W is a whole step and H a half.
It costs 6 alterations to write — near the limit of what a key signature can carry.
On the same tonic, G♯ natural minor differs from it by exactly one note.
Across the first twelve frets of the ukulele its notes fall in 28 places, which is what makes a scale a shape rather than a list.
Chords made only of these notes
C♯majorC♯7dominant seventhD♯mminorD♯m7minor seventhF♯majorF♯maj7major seventhG♯mminorG♯m7minor seventh
Found by testing every chord in the catalogue against these 7 sounds, not chosen.