What is a Negative Harmony?

Negative harmony is a theoretical approach to harmony that transforms chords and melodies by reflecting them around a central axis of symmetry within a scale. Instead of building chords in the traditional upward direction from a root, negative harmony maps each note to an opposite note across this axis, creating a mirrored version of the harmonic structure.

The concept is often explained using the circle of fifths or a symmetrical axis within a key. For example, in the key of C major, notes from the scale can be paired across an axis so that each note has an opposite partner. When a chord is converted using this system, its notes are replaced with their mirrored equivalents, producing a new chord that has a different harmonic color but maintains a relationship to the original progression.

Negative harmony can produce surprising chord substitutions and alternative harmonic progressions. While the concept is mainly used as a theoretical or experimental tool, composers and musicians sometimes use it to reinterpret familiar melodies and chord progressions in unusual ways, creating fresh harmonic textures while preserving some structural relationships with the original music.