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Foundations of Music TheoryChords6 min read

Triads: from the root to the chord’s three notes

Before adding a seventh, understand the triad. Build major, minor, diminished and augmented chords, locate the third and fifth, and play the same notes in different inversions.

WHAT YOU WILL LEARN

Triads: from the root to the chord’s three notes

  • Build the four basic triad types from intervals.
  • Distinguish root, third and fifth from the lowest note of a shape.
  • Understand root position and first and second inversion, including their effect on bass and voice leading.
  • Explain how seventh chords extend a triad.

Before you start

You should have read about notes and intervals and tried building chords in C major. Roman numerals help but are not required.

Review intervals ↗︎Build chords in C major ↗︎
Treklangstyper fra C: C E G, C E♭ G, C E♭ G♭ og C E G♯ med formler og intervallkvaliteter

What exactly is a triad?

A triad is a chord class containing three different pitch classes that can be arranged as stacked thirds. In ordinary major/minor harmony, these are the root (1), third (3) and fifth (5). A triad has three distinct chord tones even if the guitar plays six strings or the piano doubles notes in several octaves.

Take C–E–G. C is the root, E the third and G the fifth. C to E is four semitones, a major third; E to G is three, a minor third. C to G is seven, a perfect fifth.

Building triads by taking alternate scale notes helps find chords within a key. Remember that scale degrees determine the note letters selected, while intervals determine the resulting chord quality.

The root stays. The bass changes.
The root stays. The bass changes.
Read the diagram as text
  • C · root position: C4 → E4 → G4
  • C/E · first inversion: E4 → G4 → C5
  • C/G · second inversion: G3 → C4 → E4

Four triad types: what changes?

Keep C as root and change only the third or fifth. This makes each note’s contribution easier to hear.

TypeFormulaNotes from CStacked thirds
Major1–3–5C–E–GMajor + minor
Minor1–♭3–5C–E♭–GMinor + major
Diminished1–♭3–♭5C–E♭–G♭Minor + minor
Augmented1–3–♯5C–E–G♯Major + major

Major and minor have a perfect fifth and differ in the third. A diminished triad has a minor third and diminished fifth, six semitones above the root. An augmented triad has a major third and augmented fifth, eight semitones above the root.

Find the triads in C major

Use what you know from building chords in a key. Start with C–D–E–F–G–A–B and take alternate notes. This gives seven diatonic triads: three major, three minor and one diminished.

DegreeNotesChordNumeral
1C–E–GCI
2D–F–ADmii
3E–G–BEmiii
4F–A–CFIV
5G–B–DGV
6A–C–EAmvi
7B–D–FBdimvii°

Not every chord in the key of C major is a C-major chord. They share a key, but the intervals within each triad differ. Moving the system to G major keeps I–ii–iii–IV–V–vi–vii°, while the chord names change.

Root position and inversions: same chord, new bass

The notes of C major are C, E and G. C–E–G with C lowest is root position. With E lowest, arrange them as E–G–C: first inversion, commonly C/E. With G lowest, G–C–E is second inversion, commonly C/G.

Root positionC–E–G → CFirst inversionE–G–C → C/ESecond inversionG–C–E → C/G

The chord’s root remains C in all three. The root is not necessarily the lowest note. Inversions can make bass lines smoother and shorten voice movements without changing chord identity.

In Roman-numeral analysis, I6 usually means first inversion and I6/4 second inversion. This does not automatically mean a C6 chord with added A. The 6/4 figures refer to intervals above the bass in figured-bass practice.

Move one note and hear the change

Spend time on this exercise. Play C–E–G slowly. Keep C and G while lowering E to E♭: C major → C minor. Keep C and E♭ and lower G to G♭ for Cdim. Return to C major and raise G to G♯ for Caug.

On piano, hold two notes and move the third. On guitar, first play individual notes on one or more strings, then find a shape containing the same three pitch classes. The finger pattern is not the explanation; you are investigating the intervals.

Describe what you actually hear. Major is not always happy, nor minor always sad. Timbre, register, tempo and context affect the result. Aim to recognise which note changed rather than memorising a fixed emotional description.

From triads to seventh chords

Once you understand triads, add one more chord tone by continuing the stack of thirds. Add B to C–E–G for Cmaj7: C–E–G–B. B is a major seventh above C.

Add B♭ instead for C7: C–E–G–B♭, a dominant-seventh chord type. C7 need not be the actual dominant of the key; the name primarily describes its construction.

Add B♭ to C–E♭–G for Cm7: C–E♭–G–B♭. Root, third and fifth remain the foundation. That is why we learn triads first.

TriadC–E–GAdd a major seventhC–E–G–B → Cmaj7Add a minor seventhC–E–G–B♭ → C7

Next: seventh chords, more colour on the same foundation ↗

The method: hear, predict, play, explain, change

Hear: Play C major, C minor and Cdim as arpeggios. Predict: Sing the note that must move to turn C major into minor. Play: Check on the instrument and try all three inversions of C major. Explain: Identify root, third, fifth and bass in C/E. Change: Write a progression using an inversion to give the bass stepwise motion.

For example: C → G/B → Am. The bass becomes C–B–A. G/B contains G–B–D with B in the bass. You have used an inversion to create musical movement, rather than merely learning a shape.

Move from knowing which notes form a chord to understanding how those notes can approach the next chord. That makes maj7, m7 and dominant-seventh chords easier to learn.

FROM READING TO PLAYING

Try it yourself.

Play C–E–G. Locate the third and lower E to E♭ without changing the other notes. Play C/E and C/G and name the bass of each. Add B to C–E–G and explain why the result is Cmaj7.

  1. Build C, Cm, Cdim and Caug from the same root. Sing the third and fifth before playing.
  2. Play C, C/E and C/G. Write the bass note and identify each inversion.
  3. Play C–G/B–Am and hear C–B–A in the bass. Then add B to the C-major triad and compare C with Cmaj7.
Build and hear triads in the theory room

CHECK YOUR UNDERSTANDING

What do you remember?

Three questions about what you have read. Get all three right to complete the quiz. Try as many times as you like.

Completion is saved in this browser and shared between Norwegian and English.

1. Which intervals form a C major triad above its root?
2. What does C/E mean?
3. Which note turns C–E–G into Cmaj7?

RELATED READING

Seventh chords: more colour, the same foundation

Once you can hear and build triads, the seventh is the next note that extends the harmony.

Seventh chords: more colour, the same foundation ↗︎