The major scale: formula, degrees and all 15 scales
Every major scale follows the same pattern of steps: whole, whole, half, whole, whole, whole, half. Apply it from any note and you get a major scale. In this guide, we'll see where that pattern comes from, why it gives each scale its own number of sharps or flats, and what each degree is called. Then you'll find all fifteen major scales, ready to hear.
The formula: whole, whole, half, whole, whole, whole, half
Let's start at the piano. Play the white keys from C to C: that's C major. Between E and F, and between B and C, there's only a half step. Everywhere else, there's a whole step. The major scale is exactly that sequence.
- Scale
- C major
- Key signature
- no sharps or flats
- Degrees
- 1. tonic · 2. supertonic · 3. mediant · 4. subdominant · 5. dominant · 6. submediant · 7. leading tone
- Tetrachords
- C D E F | G A B C: two identical tetrachords (whole, whole, half) a whole step apart
Now start on G and apply the formula: G, A, B, C, D, E. After E, you need a whole step, but F natural is too close, so it becomes F♯. That's why G major has one sharp.
Scale degree names
| Degree | Name | In C major | Role |
|---|---|---|---|
| 1 | tonic | C | home, the note of rest |
| 2 | supertonic | D | just above the tonic |
| 3 | mediant | E | decides major or minor |
| 4 | subdominant | F | just below the dominant |
| 5 | dominant | G | the most important after the tonic |
| 6 | submediant | A | tonic of the relative minor |
| 7 | leading tone | B | a half step below the tonic, pulls toward it |
All 15 major scales
Why fifteen? There are twelve different pitches, but fifteen written major scales, because three keys can be spelled two ways: B and C♭, F♯ and G♭, and C♯ and D♭.
Modes of the major scale
Finally, play the notes of C major starting from another note, and you get seven different scales, called the modes. From C, you get Ionian, which is the major scale itself. From D, you get Dorian; from E, Phrygian; from F, Lydian; from G, Mixolydian; from A, Aeolian, which is the natural minor; and from B, Locrian.