The Circle of Fifths

The circle answers several practical questions:

It is a map of relationships, not a rule that nearby keys sound good and distant keys sound wrong. Distant movement can be exactly the effect a song needs.

Start on C and move upward by perfect fifths:

C, G, D, A, E, B, F sharp, C sharp

Continue enharmonically through A flat, E flat, B flat and F until the sequence returns to C.

Each clockwise step is a perfect fifth upward. Each counterclockwise step is a perfect fifth downward, which reaches the same pitch class as a perfect fourth upward.

Twelve equal-tempered fifths span the same total distance as seven octaves, so the pattern closes on the keyboard.

C major contains C, D, E, F, G, A and B.

G major contains G, A, B, C, D, E and F sharp.

Six pitch classes remain. Only F changes to F sharp. This one-note difference makes the keys closely related and provides many shared chords.

Move another fifth to D major and C changes to C sharp. Each clockwise step adds one sharp; each counterclockwise step adds one flat.

Clockwise from C, sharps accumulate in this order:

F, C, G, D, A, E, B

G major has F sharp. D major has F sharp and C sharp. A major adds G sharp.

For a sharp key, the final sharp lies one semitone below the major tonic. A signature ending with C sharp therefore points to D major.

Counterclockwise, flats accumulate in reverse order:

B, E, A, D, G, C, F

F major has B flat. B-flat major adds E flat. E-flat major adds A flat.

For most flat keys, the second-to-last flat names the major key. B flat, E flat and A flat therefore indicate E-flat major. F major, with one flat, is the exception to memorize.

Each major key shares its signature with a relative minor. The relative minor begins on degree 6 of the major scale.

C major pairs with A minor. G major pairs with E minor. D major pairs with B minor.

Many circle diagrams place these minor keys on an inner ring beside their relative majors. Sharing a signature does not give them the same tonic; harmony and cadence determine which note functions as home.

In C major, the six common major and minor triads are C, Dm, Em, F, G and Am. B diminished completes the seven diatonic triads.

On the circle, C sits between F and G. The relative minors of those three major keys are Dm, Am and Em. Together they give the six major and minor triads in C.

The diminished chord is not shown as clearly by this shortcut, so derive it from degree 7 when needed.

For exact work, build chords from the scale. Use the circle as a fast map, then verify note spellings.

Roots moving down by fifth, or up by fourth, travel counterclockwise.

The progression Dm7-G7-Cmaj7 follows ii-V-I in C. D to G is up a fourth, and G to C is another. On the circle, both are counterclockwise steps.

This root motion is strong because the dominant chord contains notes that resolve by semitone into the next tonic harmony.

Not every progression follows the circle. Stepwise bass lines, mediant changes and modal loops use other relationships.

Neighboring keys share six of seven scale pitch classes and several chords. A shared chord can act as a pivot between them.

C major and G major both contain C, Em, G and Am. A progression can reinterpret one of these chords before D7 introduces F sharp and confirms G as the new tonic.

Moving farther around the circle changes more pitch classes. That can make a modulation more noticeable, although chromatic voice leading can still connect distant keys smoothly.

Record the relative positions of the chord roots, then move the whole shape.

C-F-G uses I-IV-V in C. Move the tonic position to A and the same functional pattern becomes A-D-E.

Minor chords move with their scale degrees. C-Am-F-G becomes A-F sharp minor-D-E when transposed from C major to A major.

Check chord qualities against the destination scale instead of moving only letter names.

F sharp major and G flat major use the same piano keys in equal temperament. Their signatures and written functions differ.

F sharp major uses six sharps. G flat major uses six flats. The chosen spelling normally follows the surrounding keys, notation and voice leading.

C sharp major and D flat major are another enharmonic pair. The circle displays both names near the point where sharp and flat notation meet.

Clockwise movement is normally described as ascending fifths. Counterclockwise movement can be described as ascending fourths.

The diagram is the same. The name tells you which direction and interval relationship the explanation emphasizes.

Use clockwise motion for accumulating sharps. Use counterclockwise motion to follow common dominant-to-tonic root progressions.