The Major Scale Formula
The major scale uses a specific pattern of whole steps (W) and half steps (H): W W H W W W H. In semitones, that's distances of 2-2-1-2-2-2-1 from the root.
Start on C and apply that formula: C(+2)D(+2)E(+1)F(+2)G(+2)A(+2)B(+1)C. That's C major — the scale with no sharps or flats. Start on G and apply the same formula: G A B C D E F♯ G. Now you have G major, with one sharp (F♯).
Root — 2 — 4 — 5 — 7 — 9 — 11 — 12 (octave). These numbers tell you how many semitones each note sits above the root. The same formula works from any starting note.
The major scale has a characteristic bright, stable sound. That brightness comes from the major 3rd (4 semitones) above the root — it's the defining interval that gives major its quality.
What Is a Key?
A key is a set of 7 notes organized around a tonal center — the note that sounds like "home." When you say a song is in the key of G major, you mean two things: it uses the notes of G major (G A B C D E F♯), and the note G functions as the gravitational center that everything else orbits around.
The tonal center isn't enforced by magic — it's enforced by emphasis and resolution. The chord on the first scale degree (the I chord) sounds like home. Notes that pull away from it create tension; returning to it creates release. That push-pull is the engine of tonal music.
Natural Minor — Same Formula, Darker Result
The natural minor scale formula is: W H W W H W W. In semitones from the root: 0-2-3-5-7-8-10.
Compare that to major (0-2-4-5-7-9-11). Three degrees are different: the 3rd is flattened (♭3), the 6th is flattened (♭6), and the 7th is flattened (♭7). Those three lowered degrees are what give natural minor its darker, more introspective quality — especially the ♭3, which is the defining characteristic of minor.
| Scale degree | Major | Natural Minor |
|---|---|---|
| 1 | C | A |
| 2 | D | B |
| 3 | E | C |
| 4 | F | D |
| 5 | G | E |
| 6 | A | F |
| 7 | B | G |
These two columns use the same notes. That's not a coincidence — it's the relative major/minor relationship.
Relative Major and Minor
Every major scale has a relative minor that shares the exact same 7 notes. The relative minor starts on the 6th degree of the major scale — 9 semitones above the major root (or 3 semitones below it).
C major and A minor share the same notes: C D E F G A B. Start on C and emphasize C as home — you're in C major. Start on A and emphasize A as home — you're in A minor. The notes are identical; the tonal center is different.
Once you know a major scale, you automatically know its relative minor — and vice versa. The Circle of Fifths (next page) organizes all these relationships visually.
Key Signatures — The Shorthand System
Key signatures are a notation system: the number of sharps or flats tells you which major (or relative minor) key you're in. Starting from C major (no sharps/flats) and moving clockwise through the Circle of Fifths, each key adds one sharp. Moving counter-clockwise adds one flat.
| Key | Sharps/Flats | Relative Minor |
|---|---|---|
| C major | 0 | A minor |
| G major | 1♯ (F♯) | E minor |
| D major | 2♯ (F♯ C♯) | B minor |
| A major | 3♯ | F♯ minor |
| F major | 1♭ (B♭) | D minor |
| B♭ major | 2♭ | G minor |
| E♭ major | 3♭ | C minor |
Scales on the Fretboard
On the guitar, every scale shape is a visual pattern of the interval formula. When you learn "the C major scale in open position," you're really learning the WWHWWWH formula starting at fret 8 of the low E string. Move that exact same shape to a different starting fret and you're in a different key — the intervals stay the same, the pitch shifts.
This is why position playing matters. One scale shape = one position on the neck. The CAGED system (covered in the NeckSight tool's CAGED highlight mode) gives you 5 positions for any scale across the entire neck.
Exercise 1
Build C Major from the 8th Fret
Start on the 8th fret of the low E string (that's C). Apply the major scale formula going up the neck: up 2 frets (D on fret 10), up 2 more (E on fret 12), up 1 (F on string 5, fret 8), up 2 (G on fret 10), up 2 (A on fret 12), up 2 more (B on string 4, fret 9), up 1 (C on fret 10). Write each note name as you play it. Then try to play it from memory without counting frets.
Load C Major on fretboard →Exercise 2
Find A Natural Minor — and Notice What You Already Know
Load A natural minor on the fretboard tool (root = A, category = Scales, pattern = Natural Minor). Look at which notes are highlighted. Now switch to C major (root = C, scales, major). The exact same frets light up. This is the relative major/minor relationship in action — same notes, different home base. Spend a few minutes switching between them while humming the root of each key to hear how the tonal center shifts.
Load A Natural Minor on fretboard →Challenge
Relative Minor Quiz — 2 Minutes
Without looking anything up, name the relative minor of each of these major keys: G major, D major, B♭ major, F♯ major. Remember: the relative minor starts 9 semitones above the major root (or count down 3 semitones). Check your answers: E minor, B minor, G minor, D♯ minor. If any surprised you, go back and trace the scale degrees — count up to the 6th degree of each major scale.
The Circle of Fifths organizes all 12 major keys and their relationships into a single diagram. That's the next topic.