Double Triadic Harmonic Concept

The Double Triadic Harmonic Concept is the result of my research in the field of music theory. I refer to double triads as six-voice chords that consist of two stacked, harmonically coherent triads from the basic types major, minor, diminished, and augmented. They belong to the family of polychords and have a close relationship with the Upper Structure theory. Mathematically, there are 20,736 ways to combine two triads. I systematically filtered out those that are suitable for use within jazz harmony theory. In addition to the theoretical integration and a voicing catalog with the most important chords, the Double Triadic Harmonic Concept primarily offers practical application examples. How do you harmonize melody notes with double triads? How do you accompany a jazz standard with them? What possibilities does this offer in the areas of composition and improvisation?.