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Module 1 · Melody
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The Major Scale Formula

The major scale formula (also called the major key formula) is W-W-H-W-W-W-H — the whole- and half-step recipe behind every major key, with a worked C major example.

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Why These 7 Notes?

You've learned that 7 notes 'belong' in a key. But which 7? Is there a pattern?

Starting from C, play the 7 in-key notes in order. Notice which steps are small (half steps) and which are bigger (whole steps).

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Why These 7 Notes?

You've learned that 7 notes 'belong' in a key. But which 7? Is there a pattern?

Starting from C, play the 7 in-key notes in order. Notice which steps are small (half steps) and which are bigger (whole steps).

The Major Scale Formula

Every major scale — in other words, every major key — follows the exact same formula of whole steps (W) and half steps (H):

Whole - Whole - Half - Whole - Whole - Whole - Half

Or written compactly: W W H W W W H (often spelled WWHWWWH). This is the "major formula" or "major key formula" — the same pattern, just three different names for it.

A whole step skips one key (two half steps); a half step moves to the very next key. The two half steps (H) fall between scale degrees 3-4 and 7-8 — the 'tight' spots where the notes are closest together. (A whole step and a half step are themselves the two smallest intervals in music — a major 2nd and a minor 2nd.)

Worked example: C major

Start on C and apply WWHWWWH:
• C →W→ D
• D →W→ E
• E →H→ F
• F →W→ G
• G →W→ A
• A →W→ B
• B →H→ C

The result is C D E F G A B C — all the white keys on the piano, with no sharps or flats. That's the C major scale.

Listen for the two 'small' (half) steps, E→F and B→C. They give the major scale its bright, happy character.

Build a Scale From Any Note

Start on G. Apply the formula: W W H W W W H.

You'll need one black key (F#) to make it work. That's the G major scale!

Try building scales from F, D, and A. Each key needs different sharps or flats.

One Pattern, Every Key

The major scale formula works from any starting note. This is why musicians can play in any key — they know the pattern, not just the specific notes.

As you listen to music, the scale creates the 'home' and 'away' feelings — no matter what key the song is in.

For the full theory behind whole and half steps — and why they're what actually defines a key — RealMusicTheory's guide to half steps and whole steps goes deeper.