Circle of Fifths Explained

What Is the Circle of Fifths?

The foundation of key signatures in Western music

The circle of fifths is a diagram that arranges all twelve pitch classes as a sequence of perfect fifths around a circle. Start on C at the top (the key with no sharps or flats) and move clockwise: each step takes you up a perfect fifth — C to G, G to D, D to A, and so on. With each step clockwise, you add one sharp to the key signature. After twelve steps you arrive back at C, having passed through every key.

Move anticlockwise from C and the same thing happens in reverse — each step takes you up a perfect fourth (or down a fifth), and each step adds one flat. C to F adds one flat, F to B♭ adds two, B♭ to E♭ adds three, and so on. At the bottom of the circle, the "sharp" keys and the "flat" keys overlap: F♯ major and G♭ major are the same set of pitches spelled differently (these are called enharmonic equivalents).

The genius of the circle is that it places closely related keys next to each other. Neighbouring keys on the circle differ by just one accidental, which means they share almost all of their notes. This is why the circle of fifths is so useful for understanding modulation, transposition, and chord progressions — the closer two keys are on the circle, the smoother the transition between them will sound.

Interactive Circle of Fifths

Click any key to see its signature

The interactive circle of fifths above shows all twelve major keys on the outer ring and their relative minor keys on the inner ring. Click any key to see how many sharps or flats it contains and which notes are affected. Toggle between major keys, minor keys, or both views using the buttons above the diagram.

Order of Sharps and Flats

The sequence that every key signature follows

Key signatures always add sharps and flats in a fixed order. This order never changes, regardless of the clef or the instrument you play. If a key has three sharps, they will always be F♯, C♯, and G♯ — never any other combination. Learning this order is one of the most practical things you can do in music theory.

The Order of Sharps

"Father Christmas Gave Dad An Electric Blanket"

The order of sharps is F, C, G, D, A, E, B. Each sharp is a perfect fifth above the one before it — which is no coincidence, since the order follows the circle of fifths clockwise from F. This is the order in which sharps appear in every key signature, in both treble clef and bass clef. A handy shortcut: the last sharp in any key signature is always one semitone below the key name. So if the last sharp is C♯, you're in D major.

The Order of Flats

"Blanket Exploded And Dad Got Cold Feet"

The order of flats is B, E, A, D, G, C, F — the exact reverse of the order of sharps. The first four spell out the word BEAD, which makes them easy to remember. Another shortcut: the second-to-last flat in any key signature is the name of the key itself. So if you see B♭, E♭, A♭ in the signature, the second-to-last flat is E♭ — and you're in E♭ major. (The only exception is F major, which has just one flat and therefore no second-to-last flat to reference.)

Circle of Fifths — Minor Keys

Every major key has a relative minor

The minor circle of fifths works on exactly the same principle as the major one — the difference is the starting point. Every major key has a relative minor that shares the same key signature. To find the relative minor of any major key, count three semitones (a minor third) downward. C major's relative minor is A minor. G major's relative minor is E minor. Both pairs share the same sharps and flats.

On the circle of fifths diagram, the minor keys are usually shown on an inner ring. A minor sits inside C major at the top of the circle (both have no sharps or flats), E minor sits inside G major (one sharp), B minor inside D major (two sharps), and so on around the entire circle. This means the minor circle of fifths follows the same clockwise pattern of adding one sharp per step, and the same anticlockwise pattern of adding one flat per step — the keys just have different names.

Understanding the relationship between relative major and minor keys is essential for reading music, analysing chord progressions, and transposing between instruments. If you know the key signature for G major, you automatically know the key signature for E minor. The circle of fifths makes this relationship visible at a glance.

Circle of Fifths and Fourths

Two directions, same diagram

You'll sometimes hear musicians refer to the "circle of fourths" as though it were something different. It isn't — it's the same circle, just read in the opposite direction. Moving clockwise around the circle produces ascending perfect fifths (C → G → D → A…). Moving anticlockwise produces ascending perfect fourths (C → F → B♭ → E♭…). Since a perfect fourth and a perfect fifth are inversions of each other (they add up to an octave), both directions describe the same set of relationships.

Jazz musicians tend to think anticlockwise — in fourths — because this is the direction of dominant-to-tonic (V–I) resolution. When a G7 chord resolves to C major, you've moved one step anticlockwise around the circle. The ii–V–I progression, the most common harmonic movement in jazz, is simply three consecutive anticlockwise steps: D minor → G7 → C major. Understanding that the circle of fifths and the circle of fourths are two views of the same thing gives you a powerful framework for navigating chord progressions in any style of music.

Circle of Fifths in Bass Clef

Same keys, different notation

A common question from students learning piano, bass guitar, cello, or trombone is whether the circle of fifths changes in bass clef. The answer is no — the circle of fifths is identical regardless of the clef. C major still has no sharps or flats, G major still has one sharp (F♯), and D major still has two sharps (F♯ and C♯). The order of sharps is still F C G D A E B. The order of flats is still B E A D G C F. Nothing about the key signatures changes.

What does change is the visual placement of the sharp and flat symbols on the staff. In treble clef, the first sharp (F♯) sits on the top line of the staff. In bass clef, it sits on the fourth line (second from top). The pattern of accidentals follows the same alternating high–low sequence, but shifted to match the bass clef line names. If you're working from a circle of fifths bass clef chart, the circle itself looks identical — the only difference is how the key signatures are notated on the staff lines beside it.

Key Signature Chart

Every major and minor key at a glance

The key signature chart below lists all twelve major keys and their relative minors, showing how many sharps or flats each one contains and which notes are affected. You can filter by sharp keys, flat keys, or view them all together. This is the same information contained in the circle of fifths, presented in table form for quick reference.

How to Use the Circle of Fifths

Practical applications for every musician

Identifying Key Signatures

The most immediate use of the circle of fifths is reading key signatures. When you see a piece of music with three sharps, you know from the circle that the key is A major (or F♯ minor). When you see four flats, you know it's A♭ major (or F minor). With the order of sharps and flats memorised, you can also name the specific accidentals without needing a chart.

Transposing Between Instruments

Transposing instruments like the saxophone, clarinet, trumpet, and French horn all read in different keys. An alto saxophone (E♭ instrument) reads a major sixth above concert pitch — but on the circle of fifths, that's simply three steps clockwise. If a concert part is in C, the alto sax part is in A (three steps clockwise: C → G → D → A). The circle makes transposition intuitive rather than mathematical. If you're working on your saxophone technique alongside theory, our saxophone fingering chart is a useful companion resource.

Building Chord Progressions

The circle of fifths reveals which chords belong together. The three most important chords in any key — the tonic (I), the subdominant (IV), and the dominant (V) — are always adjacent on the circle. In C major: F is one step anticlockwise (IV), and G is one step clockwise (V). The classic I–IV–V–I progression is simply a triangle on the circle. Jazz musicians use the anticlockwise direction to trace ii–V–I progressions, turnarounds, and extended cadences — the circle maps the harmonic DNA of Western music.

Modulating to New Keys

When you want to change key smoothly within a piece, the circle of fifths tells you which keys will sound most natural. Keys that are adjacent on the circle share all but one note, so modulating between them is almost seamless. Moving to a key two or three steps away requires more preparation but is still manageable. A jump to the opposite side of the circle (six steps away, known as a tritone substitution) creates the maximum possible contrast.

Whether you're a beginner working through your first scales or an advanced player analysing jazz harmony, the circle of fifths is a tool you'll use throughout your musical life. If you'd like to develop your understanding of key signatures, transposition, and harmony with personalised guidance, music lessons are available in person in South East London and online. Book a lesson to get started.

Printable Circle of Fifths PDF

Free download for your practice room

Having a circle of fifths chart on the wall of your practice room is one of the best things you can do for your music theory. Glance at it while you practise scales, refer to it when you're working out a key signature, or use it to plan chord progressions. We've put together a free printable circle of fifths PDF that includes both major and minor keys, the order of sharps and flats, and a complete key signature chart — all on one page, ready to print at A4 or Letter size.

The PDF is completely free — no email sign-up required. If you find it useful, consider sharing this page with a fellow musician or student. And if you'd like to take your understanding of music theory further with one-to-one guidance, book a lesson — we cover everything from the basics to advanced jazz harmony.