AP® Music Theory · Unit 3 · Topic 3.2

Diatonic Triads in a Major Key

Stacking thirds on every scale degree of a major key always produces the same pattern of chord qualities: I, IV, V major; ii, iii, vi minor; vii diminished. The pattern comes straight from the scale's fixed arrangement of whole and half steps.

Build a triad on each scale degree by stacking the next two notes a third above, using only notes already in the key. Because a major scale has whole and half steps in one fixed order, every stack of thirds lands on a predictable quality. You never have to guess: the pattern is the same in every major key, note names aside.

The quality of each triad depends on the size of the two stacked thirds. A major third plus a minor third above it gives a major triad. A minor third plus a major third gives a minor triad. Two minor thirds stacked gives a diminished triad. Where the half steps fall in the scale (between scale degrees 3-4 and 7-8) decides which combination appears on each root. That half step between 7 and 8 is the key detail: it shrinks the fifth above the leading tone to a diminished fifth, so vii is the one diminished triad in the set.

This fixed quality pattern, I-ii-iii-IV-V-vi-vii-dim, is what Roman numeral analysis is built on: capital numerals for major, lowercase for minor, a degree sign for diminished. It also sets up inversions and seventh chords later in the unit, since the same stacked-thirds logic extends to a fourth note, and the diminished vii triad becomes the core of the leading tone seventh chord.

Key terms

Diatonic triad
A three-note chord built from stacking thirds using only notes already in the key.
Triad quality
Whether a triad is major, minor, diminished, or augmented, based on the sizes of its stacked thirds.
Leading tone
Scale degree 7, a half step below the tonic, which forms the diminished vii triad.
Diminished fifth
A fifth one half step smaller than perfect, formed between the leading tone and scale degree 4.
Roman numeral analysis
A system labeling each diatonic chord by scale degree and quality, using case and symbols to show major, minor, or diminished.

Watch it explained

  1. How it worksHow does the major step pattern force I, IV, and V to be major while ii, iii, and vi come out minor?
  2. Worked exampleFind and spell all seven diatonic triads in G major with their qualities.
  3. Common mistakeWhy isn't the chord built on the seventh degree major like the other bright ones?
  4. Ties togetherHow does the diminished triad on scale degree 7 connect to the tritone inside the scale?

Check yourself

Your turn1 of 2
A major key has three major-quality diatonic triads, on scale degrees 1, 4, and 5, three minor-quality triads, on 2, 3, and 6, and one diminished triad, on 7. A passage uses every diatonic triad of a major key exactly 4 times each. How many major-quality triads does the passage contain in total?

End of topic.