Below is the Lennie Tristano #15th [augmented15th arpeggio]
If we keep adding thirds to a chord we create “TERTIAN” Harmony. In the example below we move up from #15 to 17th to 19th to 21st and finally to 23rd. [Notice that we have used all 12 notes].
Below we have 2 “Hexatonic” lines making up one 12 tone 23rd chord line followed by a different 23rd chord line in 16ths.
In the final example we alternate rhythmically by employing triplets in the first 23rd chord line and 16ths in the second 23rd chord line.
CHORD PAIR LINE