Hindemith viewed musical relationships as a natural force akin to . He sought to move away from "arbitrary" rules, creating a system that could analyze everything from medieval chant to the most radical contemporary works. The Two Pillars: Series 1 & Series 2

The core of his theory rests on two hierarchical rankings derived from the overtone series and combination tones:

Ranks all 12 intervals based on their "harmonic strength" and "purity". Consonant: Octave and Fifth (High harmonic value). Dissonant: Seconds and Sevenths (High melodic tension). Neutral: The Tritone. 🛠️ Compositional Mechanics