Like the age-old "chicken or the egg" argument, it's interesting but unimportant as to which came first.
For the improviser, however, it's essential that he or she becomes fluent with both concepts and can readily visualize and execute each in a creative situation.
"Vertical Structures", focuses on and explores some of the more common scale systems and modes (Lydian, Dorian, Melodic Minor, Harmonic Minor & Major, as well as the half tone/ whole tone Diminished Scale) and presents them (in 12 keys) as selected, extended 13th chord arpeggios and sequences, as well as diatonic 4th stacks.
The legacy and influence of each was strongly embedded in the subsequent innovations of the following generations. Both "BeBop" pioneer Charlie Parker, as well as John Coltrane after him, were firmly grounded in each directional concept. In fact, it could be safely stated, that any great improviser, then or now, was or is instinctively versed in each concept.
The following notation and audio examples demonstrate concepts from "Vertical Structures". Each exercise or sequence is transposed to all 12 keys.
Ex 1. below illustrates a basic Bb Maj7 9 #11 13th chord arpeggio in 3rds. This full arpeggio contains all 7 notes of the Bb Lydian scale (the 4th mode of F Major).
Ex 1. - Maj7 9 #11 13 - from the Lydian mode.
Ex 2. - Min7 9 11 13 - from the Dorian mode.
Ex 3. - 7 9 #11 13 - from the Lydian Dominant mode (Melodic Minor).
Ex 4. - Min7 9 #11 13 - from the Dorian #4 mode (Harmonic Minor).
The Harmonic Minor scale, stacked in consecutive diatonic 4ths, in Ex 5. is range adjusted for the saxophone, which presents some interesting melodic alternatives, for non saxophonists, as well.
Ex 5. - Harmonic Major in diatonic 4ths.
Scale the heights!
B. Stern