Stacking Thirds to Build a Triad
Melody sits at an upright piano in a sunlit school music room, pressing three white keys with her right hand and pointing to a colorful stacked-blocks diagram on the chalkboard behind her that shows two labeled interval blocks in each stack.
- Identify a third as the interval spanning three letter names on the musical alphabet.
- Distinguish a major third (4 half-steps) from a minor third (3 half-steps) by counting keys.
- Compare the two-interval stacking patterns that define major, minor, and diminished triads.
- Predict a triad's quality when given the sizes of its bottom and top thirds.
Key terms
- Triad
- A chord built from exactly three notes stacked in two thirds.
- Third
- An interval spanning three letter names of the musical alphabet.
- Major third
- A third covering four half-steps, the brighter of the two thirds.
- Minor third
- A third covering three half-steps, the darker of the two thirds.
- Triad quality
- The character — major, minor, or diminished — set by the stacking pattern.
Stacking Two Thirds
Every triad is built the same way: take a root note, stack a third on top of it, then stack another third on top of that. The result is three notes separated by two intervals, the bottom third and the top third. Because a third spans three letter names, the notes land on alternating steps of the alphabet, like C-E-G or A-C-E. Recognizing that a triad is simply two stacked thirds turns chord building from memorization into a quick, repeatable counting process you can apply anywhere.
Quality Comes From the Pattern
The two thirds in a triad can each be major (four half-steps) or minor (three half-steps), and their arrangement decides the triad's quality. A major third on the bottom with a minor third on top gives a major triad, bright and stable, like C-E-G. A minor third on the bottom with a major third on top gives a minor triad, darker, like A-C-E. Two minor thirds stacked together give a diminished triad, tense and unstable, like B-D-F. Counting half-steps in each third names the chord reliably.
Worked examples
What quality is the triad C-E-G?
- Measure the bottom third, C to E: count C# (1), D (2), D# (3), E (4) — four half-steps, a major third.
- Measure the top third, E to G: count F (1), F# (2), G (3) — three half-steps, a minor third.
- The pattern is major third on the bottom, minor third on top.
- Match that pattern to the triad-quality rule.
Answer: Major triad — major third (bottom) plus minor third (top).
A triad stacks a minor third then another minor third. What quality is it?
- Identify the bottom interval as a minor third, three half-steps.
- Identify the top interval as another minor third, three half-steps.
- Two minor thirds stacked together form one pattern.
- Match that minor-plus-minor pattern to the quality rule.
Answer: Diminished triad — two stacked minor thirds, giving a tense, unstable sound.
Activity
Drag each triad label onto the matching two-block stack that shows its interval pattern.
Practice
Build a minor triad starting on the note A and name all three notes.
Given a major third on the bottom and minor third on top, name the triad quality.
Common mistakes to avoid
- A diminished triad is just a renamed minor triad.Both start with a minor third, but a diminished triad adds a second minor third on top while a minor triad adds a major third.
- All thirds are the same size.A major third covers four half-steps and a minor third covers three, and that one-step difference changes the triad's quality.
Check your understanding
A triad has a minor third on the bottom and a major third on top. What quality is this triad?
Which pair of intervals correctly describes how a major triad is built?
A student says a diminished triad is just a minor triad with a different name. What is wrong with that idea?
Recap
A triad is three notes built by stacking two thirds, and the size of each third sets the quality: major triad is major-then-minor third, minor triad is minor-then-major third, and diminished triad is two minor thirds. Counting half-steps in each third names any triad reliably.
Reflect
Why might a composer choose a tense diminished triad instead of a stable major one?