Fun with the Circle of Fifths, part 3

Ready for more fun with the Circle of Fifths? Here we go!

Minor keys

There is also a circle for minor keys:

I put the names of the minor keys on the inside of the circle. This is because each major key has a relative minor key.

If you don’t have this handy picture around, you can still find the relative minor key. Draw a 90 degree angle from the major key through the center of the circle. The leg will point to the relative minor.

Finding the relative minor, method 1

Or: Rotate the circle so the major key is at 12 o’clock. Its relative minor is now at 3 o’clock.

Finding the relative minor, method 2

Or: Skip two keys in the clockwise direction. Start at Bb, skip F, skip C, then the relative minor is Gm.

You can also remember that the relative minor is the 6th tone from the major scale, or simply go 3 half-steps down. Or go three steps clockwise.

It also works the other way around: each minor key has a relative major key.

Ways to find the relative major scale:

  • Draw a 90 degree angle the other way around.
  • Rotate the circle so the minor key is at 12 o’clock. Its relative minor is now at 9 o’clock.
  • Skip two keys in the counterclockwise direction.

You can also remember that the relative major is 3 half-steps up. Or three steps counterclockwise.

Chords and the circle

Chords that are close together in the circle sound good together in a song.

Every major key has three primary chords: the I (tonic), IV (subdominant) and V7 (dominant) chords. These are easy to find in the circle.

Go to your key, for example C. Go one step clockwise and we find the V7 chord, in this case G7. One step counterclockwise from C is the IV chord, in this case F.

Primary chords in the circle

The V7 chord is the dominant 7th chord. It uses the 1st, 3rd, 5th, and 7th notes from its own major scale, but the 7th tone is flattened.

For example, the tones of the G7 chord are: G – B – D – F. Note that F is not part of the G major scale; it is “borrowed” from the key one step counterclockwise: the key of C.

If you know the V7 chord, then what key are you in? Look counterclockwise one position in the circle. For example, you can tell this way that the C7 chord belongs to the key of F. The tones of C7 are C – E – G – Bb, and that Bb comes from the scale of F.

The following picture shows the 7 “diatonic” chords that can be used in the key of C (without borrowing “accidental tones”). Note that the major chords are neatly grouped together, as are the minor chords.

Diatonic chords in the circle

Chord progressions

Chords like to move counterclockwise in the circle. The G7 chord provides the strongest pull towards the C chord. The D7 chord, in turn, provides the strongest pull towards G.

In songs in the key of C, it is common to see a chord progression such as A7 – D7 – G7 – C.

The chords are not always dominant 7ths, they could also be Am – Dm – G7 – C or Am – D7 – G7 – C. However, they do tend to follow the circle counterclockwise back to the home chord.

You may have heard of the famous ii-V-I chord progression, or 2-5-1. That’s simply a trip counterclockwise around the circle.

In key of C, ii-V-I is Dm – G7 – C. Extended versions of this chord progression exist too, like the vi-ii-V-I or 6-2-5-1 (also called a 1-6-2-5). We already saw that above: Am – Dm – G7 – C.

Chord progressions in the circle

You can go even further and add Em in the mix to get a 3-6-2-5-1. All these chords come straight out of the circle, and the principle works just the same in any of the other major keys.

Tritone substitution

A “tritone” is an interval of three whole tones. There is a concept in jazz music called the “tritone substitution”, or the “flat 5″ substitution. You can use this technique for substituting dominant-7 chords.

For example, you could replace a G7 chord with a Db7 chord. You can do this because G7 and Db7 have 2 tones in common: the B and the F. These two tones just happen to be a tritone (i.e. three whole tones) apart. It may sound a little weird at first, but jazz cats like it.

There are several ways to figure out what the tritone substitution chord is, but you can also look into the circle. The substitution chord is the one directly across. Draw a line from G through the center of the circle and you’ll end up at Db. And that’s your tritone chord.

Finding a tritone substitution using the circle

That’s about it for now. I’m sure there are many more interesting uses of the Circle of Fifths. If you know of any, tell me. :-)

Read more articles on Piano Clues:

Basic Theory


Chords and Harmony


The Circle of Fifths


Arrangement, Improvisation and Composition


Reading Music and Sheet Music


How to Record Piano


Software and Virtual Instruments


Scales and Exercises


Digital Pianos


Links and Other Stuff


Comments

  1. Oluyinka says:

    Hey there,

    Thanks for the lesson, i’ve been playing the guitar for a few years but i’ve been struggling to get the circle of fourths and its applications. Thanks a bunch for the lesson, it was so helpful.

  2. Hoddyhoo says:

    This is a great website. Thank you so much!

    Another use of the circle is to identify the chord roots of a key in “circular progression” order for practice purposes (1-4-7-3-6-2-5-1). I think of this as “eating half the pie” since it traces a full semicircle. For the key of C, start on C, move one step counterclockwise to F, cut straight across to the B, then make your way counterclockwise back to C. Though for this to work, you do need to already know which chord positions to play as major, minor or diminished.

  3. Marcel Tchaou says:

    Great fantastic website! lesson was very easy to follow with practical applications. Difficult concepts were made so simple to understand. Thanks a million!

  4. Larry Hayes Roy says:

    If you want to lean start here. I’ve been a round for a long time (75) years.
    You need every thing on this site. It will make you play better than ever.
    Thank you so much.

  5. Oyadiran funshor says:

    for people like me who wants to take their playing to the next level this site is the best av ever seen on the net. thanks to you guys

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