Euler Tonnetz

Interactive Tools for Harmonic Analysis
and Visualization – for Musicians and Educators

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Tonnetz – A Musical Map

Making Music Visible and Discovering Harmonic Connections

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.

Created by a Musician for Musicians

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! 🎶

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Info
Tool Notes
Explore the Tonnetz — learn the fundamentals and discover practical ways to approach harmony creatively.
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Book & YouTube
Book & YouTube Resources
"Tonnetz" by Frank-Joachim Stöver — additional insights into the fascinating world of the Euler Tonnetz.
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Tool 01 – Featured
Euler Tonnetz
The main interactive tool featuring chords, scales, and triad/seventh chord navigation — all centered around the root note C.
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Tool 02
Composite Scale
The Euler Tonnetz with free note marking — ideal for developing custom tone combinations.
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Tool 03
Chromaticism & Tonnetz
A combination of the chromatic circle and the Euler Tonnetz.
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Download
Euler Tonnetz Template
Free Euler Tonnetz template — download and print.
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Legal
Legal Notice & Privacy Policy
Information in accordance with German legal requirements and privacy regulations.