Harmony reference

Negative harmony

Reflect chord tones around a key’s tonic–fifth axis. See each note’s partner, compare the chords on a piano and listen to the result.

Edit chord · C
● Original◌ Reflected┄ Mirror axis

Reflect each note across the tonic–fifth axis in C. Tap a note to change the chord.

C reflects to GE reflects to E♭G reflects to C
How the reflection works

The tonic and its fifth exchange places. Intervals reverse direction around this axis; the result is not constrained to the selected scale. This view compares pitch classes in one octave, not a prescribed voicing.

Read about the reflection ↗
Chord · bass CCC3 · E3 · G3
Reflected in CCmG · E♭ · C

Reflect notes, not chord names

In C, this reflection exchanges C with G, D with F, E with E♭, A with B♭, and B with A♭; D♭ and F♯ also form a pair. C–E–G becomes G–E♭–C, the notes of C minor. The lines in the diagram connect each selected note to its partner. Applying the reflection twice returns to the original notes.

Try a dominant seventh

Search for G7 and choose it. Its notes G–B–D–F reflect to C–A♭–F–D. That collection can be named Fm6 or Dm7♭5, depending on the bass and context. Listen to both sets, then use the reflection to continue exploring. The tool names exact matches from the chord catalog; a collection without a match remains a custom chord.

Choose an axis and a voicing

The reference key sets the reflection axis. Major and minor use the same axis for a given tonic. The rule is (2 × tonic + 7 − note) modulo 12, with C represented by 0. Reflection operates on pitch classes rather than register, rhythm or fingering. Use the chord builder to choose a bass note and audition a close voicing; the reflected sound is an idea to try in context, not a required replacement.

AMATH 390: negative harmony and reflection ↗

Continue exploring