The Diatonic Triads
Seven chords fall out of one scale. The pattern is fixed — and it isn't memorized, it's derived.
01What "diatonic" means
Before chords, the word. Diatonic means belonging to the key. If you're in C major, only the seven natural notes — C, D, E, F, G, A, B — are diatonic. The five black keys are not. They're chromatic.
διά (dia) — through · τόνος (tonos) — tone, stretch, tension
→ "proceeding through the tones (of the scale)"
The word predates piano by about 2,300 years. The Greeks used it to describe scales built mostly from whole steps — the through-line of tones — as opposed to chromatic or enharmonic genera that crammed in smaller intervals. We've kept the meaning: diatonic = in the key, no accidentals.
Once we know what's in the key, we can ask the only interesting question: what happens when we stack thirds on every step of it?
02Seven scale degrees, seven triads
A triad is built by stacking two thirds. You already know this from the chord qualities module: M3 + m3 = major, m3 + M3 = minor, m3 + m3 = diminished, M3 + M3 = augmented.
Now do it on every note of the C major scale, using only the white keys. Stack a third, stack another third. No black keys allowed — that's the diatonic constraint. Click each one.
The pattern: major, minor, minor, major, major, minor, diminished. No accidents — every quality is forced by which white-key intervals happen to land in that stack.
03Why the qualities are fixed
The major scale is not seven equally-spaced notes. It's a specific arrangement of whole steps (W) and half steps (H):
Two half steps — between E–F and between B–C — sit at fixed positions. Everything that follows is consequence.
Stack a third from any scale degree using only diatonic notes. Sometimes that third spans W+W (a major third, 2 whole steps). Sometimes it spans W+H (a minor third, 1½ steps). The half steps don't move — so the major and minor thirds land in a fixed pattern:
·
E
·
C
major
·
F
·
D
minor
·
G
·
E
minor
·
A
·
F
major
·
B
·
G
major
·
C
·
A
minor
·
D
·
B
diminished
That's the whole derivation. No memorization. Just: where do the half steps land inside each third you stack.
04The formula
Music writes scale degrees in Roman numerals. Capital = major. Lowercase = minor. A small circle = diminished. In any major key, the pattern is:
| Degree | Quality | Function |
|---|---|---|
| I | major | tonic — home |
| ii | minor | subdominant family |
| iii | minor | tonic substitute |
| IV | major | subdominant — departure |
| V | major | dominant — tension |
| vi | minor | relative minor |
| vii° | diminished | leading-tone tension |
Three things to lock in:
- I, IV, V are always major. The three majors. These three chords alone built half of every song from the 1950s.
- ii, iii, vi are always minor. The three minors.
- vii° is diminished. Rarely used as its own chord — it functions mostly as a tension-builder leading back to I.
If C, F and G keep showing up together, it's not coincidence. They're I, IV, V of the same key. They were always going to belong together.
05The pattern is keyless
The formula doesn't care which key you're in. Move to G major. The notes change. The pattern doesn't.
Same W-W-H-W-W-W-H. The half steps now sit between B–C and F♯–G. Stack the same way and you get:
| Degree | Chord | Quality |
|---|---|---|
| I | G – B – D | major |
| ii | A – C – E | minor |
| iii | B – D – F♯ | minor |
| IV | C – E – G | major |
| V | D – F♯ – A | major |
| vi | E – G – B | minor |
| vii° | F♯ – A – C | diminished |
This is why the formula matters. Learn one pattern, transpose to every key. Don't memorize twelve sets of seven chords — derive them.
06Quiz · Name the quality
Given a key and a scale degree, what is the chord's quality? Six rounds. Click an answer.
07Test bank · 30 shuffled
Drill against thirty randomized questions across all twelve keys. Hit reset to reshuffle.
08Optional · 50-question deep test
For when the basic pattern is locked in. Same diatonic system, three question types in random order: name the quality, name the chord, and spot the chord that doesn't belong in the key. All twelve major keys included.
Fifty questions · mixed format · no timer. Press Begin when ready.