Andrey Plays Accordion (Bayan)

Scale Reference

Scale formulas, note names, modes, and the relationships between major and minor keys.

A scale is an ordered set of notes built around a tonic, the note that sounds like home. Most scales repeat the tonic one octave higher.

How to read a scale formula

Scale degrees measure each note from the tonic. The major scale provides the reference:

1 – 2 – 3 – 4 – 5 – 6 – 7 – 8

A flat lowers a degree by one semitone; a sharp raises it by one. For example, ♭3 means a minor 3rd above the tonic. W means a whole step (two semitones), and H means a half step (one semitone).

Common scales

Scale Formula Step pattern Example
Major 1 2 3 4 5 6 7 W W H W W W H C D E F G A B
Natural minor 1 2 ♭3 4 5 ♭6 ♭7 W H W W H W W A B C D E F G
Harmonic minor 1 2 ♭3 4 5 ♭6 7 W H W W H 3H H A B C D E F G♯
Melodic minor 1 2 ♭3 4 5 6 7 W H W W W W H A B C D E F♯ G♯
Major pentatonic 1 2 3 5 6 W W 3H W 3H C D E G A
Minor pentatonic 1 ♭3 4 5 ♭7 3H W W 3H W A C D E G
Blues 1 ♭3 4 ♭5 5 ♭7 3H W H H 3H W A C D E♭ E G
Whole tone 1 2 3 ♯4 ♯5 ♭7 W W W W W W C D E F♯ G♯ B♭
Chromatic All 12 pitches H H H H H H H H H H H H C C♯ D D♯ E F F♯ G G♯ A A♯ B

3H means three semitones. In classical music, melodic minor usually returns to natural minor when descending. Jazz melodic minor keeps the raised 6th and 7th in both directions.

Major keys and their relative minors

Each pair below uses the same seven notes. The tonic determines whether the music sounds major or minor.

Major key Major-scale notes Relative minor Natural-minor notes
C C D E F G A B A minor A B C D E F G
D♭ D♭ E♭ F G♭ A♭ B♭ C B♭ minor B♭ C D♭ E♭ F G♭ A♭
D D E F♯ G A B C♯ B minor B C♯ D E F♯ G A
E♭ E♭ F G A♭ B♭ C D C minor C D E♭ F G A♭ B♭
E E F♯ G♯ A B C♯ D♯ C♯ minor C♯ D♯ E F♯ G♯ A B
F F G A B♭ C D E D minor D E F G A B♭ C
G♭ G♭ A♭ B♭ C♭ D♭ E♭ F E♭ minor E♭ F G♭ A♭ B♭ C♭ D♭
G G A B C D E F♯ E minor E F♯ G A B C D
A♭ A♭ B♭ C D♭ E♭ F G F minor F G A♭ B♭ C D♭ E♭
A A B C♯ D E F♯ G♯ F♯ minor F♯ G♯ A B C♯ D E
B♭ B♭ C D E♭ F G A G minor G A B♭ C D E♭ F
B B C♯ D♯ E F♯ G♯ A♯ G♯ minor G♯ A♯ B C♯ D♯ E F♯

The seven modes

The modes use the same major-scale interval pattern but place the tonic on a different degree. The examples below all use the notes of C major.

Mode Formula Example
Ionian (major) 1 2 3 4 5 6 7 C D E F G A B
Dorian 1 2 ♭3 4 5 6 ♭7 D E F G A B C
Phrygian 1 ♭2 ♭3 4 5 ♭6 ♭7 E F G A B C D
Lydian 1 2 3 ♯4 5 6 7 F G A B C D E
Mixolydian 1 2 3 4 5 6 ♭7 G A B C D E F
Aeolian (natural minor) 1 2 ♭3 4 5 ♭6 ♭7 A B C D E F G
Locrian 1 ♭2 ♭3 4 ♭5 ♭6 ♭7 B C D E F G A

How scales relate

  • Relative scales share notes but have different tonics. C major and A minor are relative.
  • Parallel scales share a tonic but use different notes. C major and C minor are parallel.
  • Modes rotate one note collection around a new tonic. D Dorian uses the notes of C major but treats D as home.
  • Transposition moves one scale formula to a new tonic. C major and D major sound structurally alike, but every note in D major is two semitones higher.
  • Minor variants change the upper notes of natural minor. Harmonic minor raises the 7th; melodic minor raises the 6th and 7th.

Chords from a scale

Build a triad by taking a scale degree, skipping the next note, and taking the following note twice. In C major, this gives C–E–G. Repeating the process on each degree produces:

Scale I II III IV V VI VII
Major major minor minor major major minor diminished
Natural minor minor diminished major minor minor major major

See the chord reference for seventh chords and other scale types.