Learn the theory

Building chords by steps

A chord is not memorized, it is built. Once you know the distance in semitones between its notes, you can form any chord from any root without depending on a table.

What is a step?

A step is a semitone: the distance between two adjacent keys, counting white and black alike. From C to C♯ is one step; from C to E is four.

That single measure describes any chord. C major is “four steps, three steps” from the root, and the formula holds from any other note: G major is four and three as well.

Triads

Triads are three-note chords and the starting point for everything else. Changing a single step turns a major into a minor, or a minor into a diminished.

Chord typeSteps (semitones)Example
major4 – 3C
minor3 – 4Cm
diminished3 – 3Cdim
augmented4 – 4Caug

Suspended, sixths and fifths

Suspended chords replace the third — the note that decides whether a chord is major or minor — with the second or the fourth. The result is neither happy nor sad: it hangs, waiting to resolve.

Sixth chords add one more note without reaching the seventh, and the bare fifth (C5) keeps only the essentials.

Chord typeSteps (semitones)Example
suspended 2nd2 – 5Csus2
suspended 4th5 – 2Csus4
sixth4 – 3 – 2C6
minor sixth3 – 4 – 2Cm6
six-nine4 – 3 – 2 – 5C6/9
power fifth7C5

Seventh chords

The seventh adds a fourth note above the triad and is the threshold of modern harmony. The major seventh (Cmaj7) sounds wide and calm; the dominant seventh (C7) sounds unstable and pushes toward the next chord.

That tension is why G7 asks to resolve to C: it is the engine of the V–I progression.

Chord typeSteps (semitones)Example
dominant seventh4 – 3 – 3C7
major seventh4 – 3 – 4Cmaj7
minor seventh3 – 4 – 3Cm7
minor-major seventh3 – 4 – 4[CmMaj7](chord:c-minMaj7)
seventh flat five4 – 2 – 4C7♭5
seventh sharp five4 – 4 – 2C7♯5
half-diminished3 – 3 – 4Cm7♭5
diminished seventh3 – 3 – 3Cdim7

Look at Cdim7: three steps, three steps, three steps. It is perfectly symmetrical, which is why its inversions all sound alike — a property that makes it very useful for modulating to distant keys.

Ninths, elevenths and thirteenths

Extended chords keep stacking thirds above the seventh. The large steps in these lists are not a mistake: they are the real jump to a note above the octave. C9 includes a D, C11 an F and C13 an A.

Past five notes, one hand’s five fingers run out. That is when you split the chord between both hands or drop notes — covered in two-hand chords and voicings.

Chord typeSteps (semitones)Example
ninth4 – 3 – 3 – 4C9
major ninth4 – 3 – 4 – 3Cmaj9
minor ninth3 – 4 – 3 – 4Cm9
add ninth4 – 3 – 7Cadd9
eleventh7 – 3 – 4 – 3C11
minor eleventh3 – 4 – 3 – 4 – 3Cm11
major eleventh4 – 3 – 4 – 3 – 3Cmaj11
thirteenth4 – 3 – 3 – 4 – 7C13
minor thirteenth3 – 4 – 3 – 4 – 7Cm13
major thirteenth4 – 3 – 4 – 3 – 7Cmaj13