Interactive Tools for Harmonic Analysis
and Visualization – for Musicians and Educators
In 1739, mathematician Leonhard Euler first introduced his Tonnetz. He arranged major thirds and fifths in a musical map. Even today, this graphic model can help us visualize chords, scales, and harmonic relationships – and discover musical connections in our own way.
The Tonnetz invites you to discover musical connections for yourself – from individual notes to complex harmonic relationships.
On this website and the accompanying YouTube channel, you'll find interactive tools for exploring chords and scales in the Tonnetz. Mark your own combinations of notes, discover new harmonic connections, or make the classic 2-5-1 progression visible as a starting point for your improvisation ideas.
The interactive tools are designed for jazz harmony, improvisation, composition, and music education.
The interactive tools were created by Frank-Joachim Stöver – bassist, music educator, and author of the book Tonnetz.
Learn more about the book, the musical concepts behind it, and the YouTube videos under “Book & YouTube.”
Have fun exploring music in the Tonnetz! 🎶