Common-tone voice leading
Harmony Tree
Explore major and minor chords as a tree of transformations with direct listening, a chosen centre, and comparable harmonic concepts.
Common-tone voice leading
The tree shows triads connected by two common tones and one chromatic voice movement; it does not assume a conventional tonal progression.
Explore neighbouring chords
- Choose a central root.
- Select a harmonic concept.
- Click a chord to hear it.
- Follow an endpoint to reveal a new tree.
Reference scale
Chromatic collection
Choose a path preset, then play or export it.
Clicked path
Parsimonious triadic network
All major and minor triads connected by two common tones and one moving voice.
Select an outer terminal chord to continue the tree from that chord.
24 network triads
36 network edges
94 visible tree nodes
23 repeated chords
Common-tone voice leading
Read transformations before functions
Watch common tones
Each connection keeps two notes and moves the third, making voice-leading proximity visible.
Change the centre
The centre selector rebuilds the same concept around another root so harmonic regions can be compared.
Continue from an endpoint
When a branch reaches an endpoint, the selected chord can become the new centre of the tree.
Compare two paths by ear before naming their function
- Choose a central root.
- Select a harmonic concept.
- Click a chord to hear it.
- Follow an endpoint to reveal a new tree.