This is a short, 1 chorus etude over John Coltrane’s Giant Steps progression. It incorporates a few different conceptual ideas which I find useful.
In bars 1-2 and bars 5-6 what is sometimes referred to as a “classical augmented” scale (see PDF below) is used to create a simple descending linear melody. Since one scale works in 3 keys, a major 3rd apart, it is a good fit over Coltrane’s tri-tonic progression.
In bars 3-4 and bars 7-8 I use a simple pentatonic idea modulated and grouped in 5 eight-notes to create a slight rhythmic displacement.
The rest of the line is a series of fairy inside ii – V7 – I melodies.