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Major scale: the formula that builds them all

The major scale is the foundation of almost everything: melodies, chords and diatonic chords. And it fits in a seven-step formula.

⏱ 8 min readUpdated October 8, 2026By Dedilhado Vivo

What a scale is

A scale is a sequence of notes arranged in steps, from low to high, that starts and ends on the same note. The note it starts on is called the tonic and gives the scale its name: the G scale starts and ends on G.

The major scale formula

Every major scale follows the same pattern of distances:

T – T – S – T – T – T – S

(W = whole step, H = half step). Starting on C, this formula lands exactly on the white keys, because the natural half steps E–F and B–C are in the right places:

C major: white keys only
C1C2D3E4F5G6A7B8C

The numbers are the scale degrees. 8 is the tonic again, an octave higher.

C major on the staff
CDEFGABC

Building the scale in other keys

Just start on another note and apply the same formula. Two rules help you write it correctly:

  1. Use each letter once, in order: if it started on G, the letter sequence is G A B C D E F G.
  2. Adjust with ♯ or ♭ so the distance matches the formula.

G major (G)

G→A (W) · A→B (W) · B→C (H) · C→D (W) · D→E (W) · E→? has to be a whole step, so it's F♯ · F♯→G (H). Done:

G major: one sharp (F♯)
CC1G2A3B4C5D6E7F♯8G

D major (D)

D major: two sharps (F♯ and C♯)
CCC1D2E3F♯4G5A6B7C♯8D

F major (F)

F→G (W) · G→A (W) · A→? has to be a half step, so it's B♭ · and the rest falls into place:

F major: one flat (B♭)
CC1F2G3A4B♭5C6D7E8F

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Table of the most common major scales

ScaleNotesAccidentals
C major (C)C D E F G A B (do re mi fa sol la si)none
G major (G)G A B C D E F♯1 ♯
D major (D)D E F♯ G A B C♯2 ♯
A major (A)A B C♯ D E F♯ G♯3 ♯
E major (E)E F♯ G♯ A B C♯ D♯4 ♯
F major (F)F G A B♭ C D E1 ♭
B♭ majorB♭ C D E♭ F G A2 ♭
E♭ major (E♭)E♭ F G A♭ B♭ C D3 ♭

Scale degrees and their names

Each position in the scale is a degree, written as a Roman numeral. Degrees are the basis for building chords and the diatonic chords.

DegreeNameIn C majorRole
ITonicCHome, rest
IISupertonicD
IIIMediantEDecides major or minor
IVSubdominantFMoves away from home
VDominantGTension that wants to return
VISubmediantARelative minor
VIILeading toneBA half step below the tonic, it “pulls” toward it

Key signature

Instead of writing the ♯ on every F in the whole song, the sheet music puts the scale's sharps or flats right at the start of the staff. That's the key signature. Seeing a ♯ on the F line at the start of the staff already tells you the music is probably in G major (or E minor, the relative; see minor scale).

Why the major scale sounds “happy”

What gives it the major character is mainly the 3rd degree, which is two whole steps from the tonic (a major third). In the minor scale that degree is a step and a half away, and the sound changes completely. You'll understand that difference in intervals and in how to build chords.

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Frequently asked questions

What is the major scale formula?

Whole, whole, half, whole, whole, whole, half (W W H W W W H), starting from the tonic.

Why does the C major scale have no sharps or flats?

Because starting on C, the natural half steps E–F and B–C fall exactly on positions 3–4 and 7–8, just as the formula requires.

Which major scale has one sharp?

G major. The sharp is F♯.

Which major scale has one flat?

F major. The flat is B♭.

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