The Circle of Fifths

The Circle of Fifths is based on the perfect fifth interval. The diagram below is an example. You can start with any note, the next note is the perfect fifth of that note (seven half steps). In the case of the C note the next note is the G note (seven half steps), the perfect fifth of the G note is D, that is the next note on the circle of fifths. Continue this process in a clockwise direction and you have the circle of fifths. Seven half steps can also be seen as three whole steps and one half step. The reason for using whole steps is that scales are made of whole steps and half steps.

To help understand the concept of a perfect fifth, D is the fifth note of the G scale, G is the fifth note of the C scale, C is the fifth note of the F scale, and so on through the Circle of Fifths.

There are many uses for the Circle of Fifths.

  • The order of sharps and flats.
  • Sheet music key signatures.
  • The three primary chords of any key.
  • Basic chord progressions.
  • Transposing songs.
circle of fifths

My suggestion to help you make use of the circle of fifths is to first analyze it's construction. Memorize the sequence of letters: "BEAD GCF", forwards and backwards. The circle of fifths is constructed as follows:

  • The circle is like the clock, 12 positions just like 12 hours on a clock.
  • The key of C is at the top center like 12:00, no sharps no flats.
  • The phrase BEAD GCF runs counter clockwise twice around the circle.
  • Notice on the circle the top starts at no sharps or flats and the number of
    sharps and flats increase as they head towards the bottom center.
  • Sharps on the right, flats on the left.

At the beginning of a song their is usually a series of sharps or flats that define the key of the song. This series of sharps or flats is called the key signature and they follow a specific order. The order of sharps follows the Circle of Fifths in a clockwise direction starting with F. That means that if a key has one sharp, that sharp is F#. Two sharps would be F# and C#. Three sharps F#, C#, and G#. The order for sharps is F#, C#, G#, D#, A#, E#, B#. The order of flats follows the Circle of Fifths in a counter clockwise direction starting with B. If a key has one flat, that flat would be B flat. Two flats would be B flat and E flat. Three flats B flat, E flat, and A flat. The order for flats is B, E, A, D, G, C, and F.

The key signatures follow the Circle of Fifths starting with C. The key of C has no sharps or flats. The key of G has one sharp, the key of D has two sharps, the key of A has three sharps and so on around the Circle of Fifths. The key of F has one flat, the key of B flat has two flats and the key of E flat has three flats and so on around the Circle of Fifths.

circle of fifths

The three primary chords of any key can be determined quickly from the Circle of Fifths. For example, the three primary chords for the key of C are C, F, and G. The three primary chords for the key of G are G, C, and D. The key has each of its primary chords on each side of it in the Circle of Fifths. The three primary chords consist of the root, the perfect fourth and the perfect fifth.

The circle of fifths diagram also displays the relative minor keys in the inner circle using lower case letters. For the key of C the relative minor scale is A minor. They are relative because the key of C contains the same notes as the key of A minor. The key of C = C, D, E, F, G, A and B and the key of A minor = A, B, C, D, E, F and G.

Basic chord progressions and song transposing will be covered in another lesson.