Guitar chord formulas

See how changing one interval transforms a chord. Each marker shows a chord tone measured in semitones from the root.

Intervals from the root

Each neighboring position is one semitone apart. A ninth shares the second's pitch class but lies an octave higher; the same applies to 11 and 13.

R0 semitones

Unison

♭21 semitones

Minor second

22 semitones

Major second

Also 9 an octave higher

♭33 semitones

Minor third

34 semitones

Major third

45 semitones

Perfect fourth

Also 11 an octave higher

♯4 / ♭56 semitones

Tritone

57 semitones

Perfect fifth

♭6 / ♯58 semitones

Minor sixth

6 / 𝄫79 semitones

Major sixth

Also 13 an octave higher

♭710 semitones

Minor seventh

711 semitones

Major seventh

R12 semitones

Octave

Triads

Major

C

Formula: R · 3 · 5

See the C chord
R35

Minor

Cm

Formula: R · ♭3 · 5

See the C chord
R♭35

Diminished

Cdim

Formula: R · ♭3 · ♭5

See the C chord
R♭3♭5

Augmented

Caug

Formula: R · 3 · ♯5

See the C chord
R3♯5

Seventh chords

Major 7th

Cmaj7

Formula: R · 3 · 5 · 7

See the C chord
R357

Dominant 7th

C7

Formula: R · 3 · 5 · ♭7

See the C chord
R35♭7

Minor 7th

Cm7

Formula: R · ♭3 · 5 · ♭7

See the C chord
R♭35♭7

Augmented 7th

Caug7

Formula: R · 3 · ♯5 · ♭7

See the C chord
R3♯5♭7

Half-Diminished 7th

Cm7♭5

Formula: R · ♭3 · ♭5 · ♭7

See the C chord
R♭3♭5♭7

Diminished 7th

Cdim7

Formula: R · ♭3 · ♭5 · 𝄫7

See the C chord
R♭3♭5𝄫7

Suspended chords

Suspended 2nd

Csus2

Formula: R · 2 · 5

See the C chord
R25

Suspended 4th

Csus4

Formula: R · 4 · 5

See the C chord
R45

Sixths and added ninths

Major 6th

C6

Formula: R · 3 · 5 · 6

See the C chord
R356

Minor 6th

Cm6

Formula: R · ♭3 · 5 · 6

See the C chord
R♭356

Add 9

Cadd9

Formula: R · 3 · 5 · 9

See the C chord
R359

How a chord changes

Compare major, seventh, sixth, added ninth, suspended and minor sounds at five familiar CAGED roots. Each diagram is a verified E- or A-form fingering; the root and formula stay visible above it.

The diagrams show playable voicings for comparison. Changing quality may require a different fingering, even when the root stays the same.

G

C

E

A

D

See the formula on a guitar diagram

C major uses R, 3, 5. Lowering the third by one semitone makes C minor: R, ♭3, 5. The fretboard diagram is one playable voicing; the formula describes the chord independently of fingering.

Remember roots with CAGED shapes

Each diagram shows only the C root notes in a movable CAGED chord shape. Follow the R markers to see where the same root appears on different strings and frets.

Explore playable fingerings → Guitar chord chart