The number system, in every key

The number system names chords by their place in a key instead of by letter: a 1, a 4 and a 5 rather than C, F and G. Every major key has the same seven chords in the same order, so once you know the row below you can play a song in any key. This page builds it up step by step — where the row comes from, every key, the shapes that play it, and the circle of fifths that joins the keys — and ends with exercises to make it stick. The diagrams switch between guitar and piano with the toggle at the top.

Read it as one word: major · minor · minor · major · major · minor · diminished. Nashville charts write the numbers on the left; classical theory writes the Roman numerals underneath — same thing.

Where the row comes from

Start from a major scale — in C, the white keys C D E F G A B — and number its notes 1 to 7. To build a chord on any of them, take that note, skip one, take the next, skip one, take the next: C–E–G on the 1, D–F–A on the 2, E–G–B on the 3, and so on. The major scale always has its half steps in the same places, so the stacks always come out the same way: major on 1, 4 and 5, minor on 2, 3 and 6, and a squeezed, diminished chord on 7. Change key and every letter changes, but the numbers and their qualities stay put. That's why players talk in numbers: “1–5–6m–4” means the same thing in every key, while “C–G–Am–F” only works in C. The first row of the table below is this exact list, in C.

Every key, chord by chord

Find your key on the left, read across; the table scrolls in both directions and the headings stay put. A diagram with a thick bar at the top is played at the nut; otherwise the number beside it (3fr) is the fret where the shape starts. The digits underneath are the same voicing written out string 6 → string 1, x meaning don't play that string.

Seven shapes cover the whole chart

Every barre chord above is one of these, slid up the neck. Match the circled R to the root note on string 6, 5, or 4 and the chord names take care of themselves. Every diagram on this page marks each string that sounds the root with an R, open strings included. The ° chords are played as diminished sevenths (four notes instead of three) — that's the voicing guitarists actually reach for, and it works anywhere a 7° is called.

Majorroot on string 6 — F at fret 1, G at 3
Minorroot on string 6 — Fm at fret 1, Gm at 3
Majorroot on string 5 — Bb at fret 1, C at 3
Minorroot on string 5 — Bbm at fret 1, Cm at 3
Diminished 7throot on string 6 — G° at fret 3, A° at 5
Diminished 7throot on string 5 — C° at fret 3, B° at 2
Diminished 7throot on string 4 — E° at fret 2, C° at 10

Open chords worth knowing first

In the guitar-friendly keys — G, C, D, A, E — most of the numbers land on these.

Cx 3 2 0 1 0
Ax 0 2 2 2 0
G3 2 0 0 0 3
E0 2 2 1 0 0
Dx x 0 2 3 2
Amx 0 2 2 1 0
Em0 2 2 0 0 0
Dmx x 0 2 3 1

Three hand shapes cover the whole chart

Every chord in the table is one of these three stacks of half steps, moved to a new root. Count up from the root and the black-and-white pattern takes care of itself. The faded fourth note on the diminished chord is the seventh most players add; leave it out and you have the plain 7° triad. Every diagram on this page marks the root with an R.

Major4 half steps, then 3 — C E G
Minor3 half steps, then 4 — C Eb G
Diminished 7th3, 3, then 3 more — C Eb Gb A

Fingering and inversions

Right hand 1–3–5 on triads (thumb on the root), left hand 5–3–1. For the four-note diminished chord use 1–2–3–5 in the right hand. Once a shape feels solid, try starting it on the 3rd or the 5th instead of the root: same notes, same number, less jumping around between chords. Playing the 1–5–6m–4 progression in C with inversions, your hand barely moves from the middle of the keyboard.

The circle of fifths

Every key on the wheel is a fifth up from the one before it. That one rule hides a lot of shortcuts. Tap any key, outer ring or inner ring, and it spins to the top.

How people actually use it

Build a progression, explore the shapes

Pick a key and fill the progression with chord numbers; add or remove lines as you go. The chart shows one shape per chord, in order. Below the chart, every chord lists all of its shapes, lowest on the neck first. Pick the shape you want for the first chord; every chord after it follows the one before, choosing the shape nearest that spot on the neck, so the whole progression sits under one hand the way a chord book lays out "position 1" to "position 5". Tap a shape to take over for that chord (the chords after it will follow your pick), or tap "follow previous" to hand it back. Below the chart, every chord lists its three inversions (root position, then the 3rd on the bottom, then the 5th). Pick one for the first chord; every chord after it follows, choosing the inversion that keeps your hand in the same part of the keyboard. Tap an inversion to take over for that chord, or "follow previous" to hand it back. The chips above each row are flavours of the same chord: sus2 and sus4 swap the 3rd for a neighbour, add9, M7 and M9 stack colour on top of a major, m7, m9 and m11 do the same for a minor, and the diminished comes as a plain triad, a dim7, or m7♭5, its softer cousin. They keep the same number in the progression.

Why bother with more than one shape

Practise it

A few minutes a day for a week does more than an hour once. Work down the list; each step builds on the one before.

  1. Pick one key — G on guitarC on piano — and play 1–4–5–1, then 1–5–6m–4. Say each number out loud as you change chord. That second progression is most of pop music.
  2. Play the same two progressions in the keys either side of it on the circle of fifths. The chords change; the sound of the progression doesn't.
  3. Take a song you already play, write its chords as numbers, then play it in another key straight from the table.
  4. In the builder, set up 1–6m–4–5 and play it without leaving one spot on the neck, then again in a higher position.play it with inversions so your hand barely moves, then again in root position to hear the difference.
  5. Test yourself without looking: what are the 4 and the 5 in D? The 6m in F? The 2m in A? The 1, 4 and 5 in Eb?
    AnswersG and A · Dm · Bm · Eb, Ab and Bb.

Worth remembering