Understanding this will aid you in working out the chord structure of songs and developing your own song writing skills.
Major Keys
There are 7 tones in each scale (key) and a chord can be built from every tone in the scale, therefore there are 7 chords. There are 3 major chords in each major key. If you look at the scale for each key, the major chords are dictated by the 1st, 4th and 5th notes in that scale shown by the examples below:

You'll also find minor chords in major keys. The most common minor chords in each major key are shown below:

C Dm F Em Am C G F
Minor Keys
3 minor chords are closely related in each minor key and most commonly occur in popular songs.
In the key of A minor, the Am, Dm and Em are the most important chords.
There are also 3 major chords in each minor key. In the key of A minor, major chords C, F and G occur. Again, playing these chords in any order will always work.
There are also 3 major chords in each minor key. In the key of A minor, major chords C, F and G occur. Again, playing these chords in any order will always work.
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