A scale can be described as a pattern of tones and semitones, as letters, or — the most useful way of all — as numbers. The numbers say where each note sits from Home, whatever the letters are.
| Tones & semitones | TTSTTTS | |||||||
|---|---|---|---|---|---|---|---|---|
| C major scale | C | D | E | F | G | A | B | C |
| Numbiano number | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 1 |
| Interval from the 1 | Unison | Major 2nd | Major 3rd | Perfect 4th | Perfect 5th | Major 6th | Major 7th | Octave |
| Semitones | 0 | 2 | 4 | 5 | 7 | 9 | 11 | 12 |
| Degree | 1st | 2nd | 3rd | 4th | 5th | 6th | 7th | 1st |
| Name | Tonic | Super-tonic | Mediant | Sub-dominant | Dominant | Sub-mediant | Leading note | Tonic |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 1 | |
| C major | C | D | E | F | G | A | B | C |
| G major | G | A | B | C | D | E | F# | G |
| D major | D | E | F# | G | A | B | C# | D |
| A major | A | B | C# | D | E | F# | G# | A |
| E major | E | F# | G# | A | B | C# | D# | E |
| B major | B | C# | D# | E | F# | G# | A# | B |
| Gb major | Gb | Ab | Bb | Cb | Db | Eb | F | Gb |
| Db major | Db | Eb | F | Gb | Ab | Bb | C | Db |
| Ab major | Ab | Bb | C | Db | Eb | F | G | Ab |
| Eb major | Eb | F | G | Ab | Bb | C | D | Eb |
| Bb major | Bb | C | D | Eb | F | G | A | Bb |
| F major | F | G | A | Bb | C | D | E | F |
Start on any number and jump over the next two: from the 1 you jump over 2 and 4 to get 1, 3 & 5. Seven three-note chords, one from each degree.
| Triad built from the 1st degree | 1, 3, 5 | I | Major |
| Triad built from the 2nd degree | 2, 4, 6 | iim | minor |
| Triad built from the 3rd degree | 3, 5, 7 | iiim | minor |
| Triad built from the 4th degree | 4, 6, 1 | IV | Major |
| Triad built from the 5th degree | 5, 7, 2 | V | Major |
| Triad built from the 6th degree | 6, 1, 3 | vim | minor |
| Triad built from the 7th degree | 7, 2, 4 | vii° | diminished |
Capital numeral, major. Small numeral with an m, minor. ° is diminished.
Write the scale’s letters under 1 to 7. Then leapfrog: a number, the number two above it, and two above that. Past 7, carry on from 1. So I is 1 3 5 and vim is 6 1 3. Write the letters inside each chord, then play it.
Nothing about the numbers has changed. Only the letters under them.
Keyboards: try F or D. Guitars: D — D, A, Bm and G. Which chord was new to your hands?