How to extend Jazz Modes and Scales:
Going back to our negative harmony web page CLICK we had a scale extension of Ionian and Phrygian.
Employing our old friends “Tetrachords” we can build complete 2 octave scales when the octave [or repeated starting note] is missed. In this case the whole tone scale and its transposition builds the scale extension.
We can also build 2 octave scales by joining together two “One octave” scales.
Many composer like Tcherepnin, Messiaen, Boulez along with more modern improviser/composers like Keith Emerson and Allan Holdsworth have applied this for its rich polytonality, modal expansion and textural counterpoint.
This idea along with Negative/Mirror harmony is really well suited to the piano both in terms of improvisation and composition. If you are looking for originality then there is a whole new world waiting here to be discovered and applied.
Vincent Persichetti’s book covers this. It is not for everyone so it could be a good idea to borrow a copy from a library.