Chord qualities as interval shapes

Each chord is a polygon on the 12-tone circle. In Relative mode the root sits at the top so chords of the same quality share a shape. In Absolute mode the ring shows fixed pitch classes (C at the top) and the polygon rotates to where the chord's actual notes fall. The bass / inversion control changes naming and playback order; the polygon's shape stays the same. For voice leading and chord progressions, see Chord progressions.

Graphic grammar: pale chromatic ring, red root, black selected tones, translucent red-to-blue chord body.

Pitch labels
Wheel order

Chord Details

Intervals above root
Stack from bass
Bass
Recognized root
Symbol
Semitones above root
Forte prime form
Interval-class vector

Chord Quality

Play

Sonority (Plomp-Levelt / Sethares)

Sensory dissonance from the Plomp-Levelt curve (1965) as refined by Sethares (1993). Each tone is treated as a fundamental plus six harmonics (amplitudes 1/n); the curve plots how dissonant each interval is against a fixed reference tone. The vertical lines mark where this chord's intervals from the bass land on the curve.

Key fit (Krumhansl-Kessler)

Correlation of this chord's pitch-class set against each of the 24 major and minor key profiles from Krumhansl & Kessler (1982). Outer ring: major keys; inner ring: minor. Dot size encodes fit strength; the top match is named in the center.

probe-tone stability per scale degree (chord tones highlighted)

Common chords

Reading the shapes

Major and minor

The third is the tell. A major third reaches clockwise to M3; a minor third stops one step earlier at m3.

Root and bass

The red P1 is the reference note. The recognizer can choose another selected tone as the chord root; the bass is the lowest played tone.

Suspensions

A sus chord removes the third. The replacement tone is either M2 or P4, so the triangle leans away from major/minor identity.

Altered fifths

Augmented and diminished chords move the fifth by one semitone. That shifts the triangle point from P5 to m6 or TT.

Sevenths

Four-note chords become quadrilaterals. The distance between the third, fifth, and seventh makes dominant, minor, major, and diminished seventh shapes easy to compare.

Tonic

Tonic is a key function, not a chord tone. This widget names roots and bass notes; it doesn't assign a key center.