Several people have asked me to make a tutorial revisiting all the basic piano chords - so here it is! There's a little bit of theory, covering how piano chords are constructed, and how you can voice and invert them on the keyboard.
Most chords are built of thirds, and once you've figured out how to make major and minor thirds, and understood a couple of other basic intervals, it's pretty easy to work out all the chords you need, even if you're a relative beginner on the instrument.
As always, the secret to really mastering this stuff is to spend time sitting at the piano practising the techniques I talk about. One thing you could do is dig out a song book that has a vocal line with the chords written in. Practise reading the chords, and soon you won't need the written piano part :)
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EDIT: one chord I missed out was the minor ninth (-m9). After watching the tutorial you can probably work it out pretty easily: it's the -m7 with an added major third.
00:00 Introduction
06:00 Basic major and minor
07:30 Dominant seventh (chords ending -7, e.g. G7, Eb7)
08:30 Minor seventh (chords ending -m7)
09:05 Major seventh (-maj7)
09:45 Sixth (-6 or -m6)
11:50 Ninth (-9)
12:29 Major ninth (-maj9)
13:16 Added ninth (-add9)
14:25 Suspended fourth (-sus or -sus4)
15:48 Diminished and diminished seventh (-dim or -°; -dim7 or -°7)
17:43 Augmented (-aug or -+)
NB, I don't mention this in the tutorial but the minor ninth (-m9) is the -m7 with an added major third.