The Three Chord Trick !!!
Thats a good place to go next . Grouping chords together in keys would be a logical next step. If you know what the three main chords are in each of the major keys and can change smoothly between them you can play accompanyment to hundreds of thousands of songs(I am not exagerating its probably more).
Into that three chord framework you can slot minors and 7th chord and loads of others to add colour and interest.
The three chords group that works with a piece of music are determind by the scale that the melody is written in.There is a lot of theory that time wont permit me to explain.This theory determins which chord work with particular melody .
Any how here are some goups that work in some common keys
key chords
D play D G A
E Play E A B
G Play G C G
A Play A D E
C Play C F G
If you look through chord books and internet sites you will find chords written over the lyrics of songs you want to play. Try strumming along with the melody .Or just pratice changing between the three chord groups you will find once you master the changes you can play lots of stuff.
If you look carefully at a complicated chord pattern often these three chord groups will jump out at you .Usualy if you start by just playing those with the melody you can get away with it.Then start adding in the others to make it intersting.Many many songs only use 3 chords anyway .
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