Study the diagram on this page and the next. When the ascending triad is continued melodically throughout the entire octave, the harmonic triads are mapped. Every chord in this book, and every chord found in research (with the exception of two), contained the note seven intervals away from the bass note higher in pitch. However, because of the harmonics, it did not take long to mirror the interval diagrams and study the chords that were created.
Notice how the regular harmonic triads always include the note seven intervals away from the bass note higher in pitch; this is the 1st Harmonic or Perfect 5th note. Their negative counterparts always include the note five intervals away from the bass note higher in pitch (perfect 4th or negative 5th [-5th]). Pay close attention to how the interval diagrams mirror (above).