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🎼 Interactive Tonnetz Chart
Explore harmonic relationships on a musical Tonnetz. Click a note to hear its pitch, select a major or minor triangle to hear a chord, and discover how closely related chords connect through shared notes.
🔺 Tonnetz Harmony Grid
Horizontal connections represent perfect fifths. Diagonal connections represent major and minor thirds. Upward and downward triangles represent major and minor triads. Select a triangle to explore its chord.
Select a note or chord triangle to explore the chart.🎹 Selected Chord
C MajorMajor triad containing a root, major third, and perfect fifth.
CRootMajorQuality1 – 3 – 5Chord Formula🔄 Neo-Riemannian Chord Transformations
Explore three common transformations between major and minor triads. Each transformation keeps two notes in common and moves one note.
Try P, L, or R to move to a related chord.
🎶 Chord Progression Builder
Add chords from the chart to build a progression and hear how their harmonic relationships sound.
📚 Understanding the Tonnetz
The Tonnetz, or tone network, is a geometric representation of musical pitch relationships. Notes connected by fifths and thirds form a lattice in which major and minor chords appear as triangles. Adjacent triangles often share two notes, making the diagram useful for exploring smooth voice leading and harmonic transformations.
Tip: Start with C major and try the P, L, and R transformations. Listen to how changing just one note can produce an entirely different chord. This is a useful exercise for songwriting, arranging vocal harmonies, and understanding chord progressions.
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An Interactive Tonnetz Chart helps musicians, singers, songwriters, composers, producers, and music students explore the relationships between musical notes and chords through a visual harmonic network.
The word Tonnetz comes from German and means tone network. In music theory, the Tonnetz is a geometric diagram that organizes pitches according to their harmonic relationships, particularly perfect fifths, major thirds, and minor thirds.
Instead of displaying notes in a traditional scale or keyboard layout, the Tonnetz arranges them in a connected lattice. This makes it easier to visualize how chords share notes and how one harmony can move into another.
How to Use the Interactive Tonnetz Chart
Start by selecting a chord root and choosing either major or minor.
The chart highlights the notes belonging to your selected chord.
You can also click individual notes on the grid to hear their pitches or select chord triangles to explore different major and minor triads.
Use Play Chord to hear the selected harmony.
The chord information panel displays its root, quality, notes, and formula.
Understanding Tonnetz Triangles
One of the most interesting features of the Tonnetz is how it represents chords as triangles.
A major triad contains a root, major third, and perfect fifth.
For example:
C Major: C – E – G
A minor triad contains a root, minor third, and perfect fifth.
For example:
C Minor: C – E♠– G
On a Tonnetz, major and minor triads appear as differently oriented triangles.
Adjacent triangles can share two notes, allowing you to visualize how one chord changes into another with minimal movement.
This concept is closely related to voice leading, which describes how individual musical voices move between harmonies.
What Are Neo-Riemannian Transformations?
Neo-Riemannian theory explores relationships between chords using transformations that preserve common tones.
Three frequently discussed transformations are:
P — Parallel Transformation
Changes a major chord into its parallel minor, or vice versa, while keeping the root and fifth.
For example:
C Major → C Minor
C – E – G → C – E♠– G
Only the third changes.
L — Leading-Tone Exchange
Connects major and minor triads by keeping two notes in common while moving the remaining note by a semitone.
For example:
C Major → E Minor
C – E – G → E – G – B
The notes E and G remain the same while C moves to B.
R — Relative Transformation
Connects relative major and minor triads.
For example:
C Major → A Minor
C – E – G → A – C – E
The notes C and E remain the same while G moves to A.
Experimenting with these transformations can help you understand how harmonies change while maintaining musical continuity.
Using the Tonnetz for Songwriting
Songwriters can use the Tonnetz to explore chord relationships beyond familiar progressions.
Start with a major or minor chord and experiment with the P, L, and R transformations.
You may discover chord changes that sound smooth because the two harmonies share multiple notes.
Try combining several transformations to create an original chord progression.
The Chord Progression Builder lets you collect selected chords and play them in sequence.
Using the Tonnetz for Vocal Harmonies
Singers and vocal arrangers can use the Tonnetz to understand how individual harmony notes move between chords.
For example, when moving from C major to A minor, the notes C and E remain in both chords.
A background vocalist singing either shared note may be able to sustain it while another singer moves from G to A.
This is an example of smooth voice leading.
The Tonnetz can therefore be useful when arranging background vocals, choir harmonies, a cappella music, and layered vocal parts.
Tonnetz vs. Circle of Fifths
Both the Tonnetz and the Circle of Fifths help musicians understand harmonic relationships, but they emphasize different ideas.
The Circle of Fifths organizes keys and pitch classes through successive perfect fifths. It is especially useful for key signatures, closely related keys, and common harmonic patterns.
The Tonnetz combines fifth and third relationships in a geometric network.
This makes it particularly useful for studying triads, common tones, voice leading, and transformations between major and minor chords.
Does the Tonnetz Work for Every Musical Style?
The Tonnetz is especially useful for studying Western twelve-tone equal-tempered harmony and major/minor triadic relationships.
It can help with analyzing music from many genres, including classical, jazz, pop, R&B, gospel, rock, film scoring, and electronic music.
However, not every musical tradition or harmonic system is best represented by a traditional Tonnetz. Musical systems involving microtones, different tuning systems, or non-triadic structures may require other visual approaches.
Tip: Start with C major and use the P, L, and R buttons to explore neighboring harmonies. Pay attention to which notes stay the same and which notes move. Then build a short progression using those relationships. This is a practical way to experiment with smoother chord changes, interesting harmonic colors, and creative vocal arrangements.
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