
Terms such as ‘altered’ and ‘extended’ chords are relatively simple to explain. Extended chords add other notes from the scale to the existing root-3rd-5th triad (for example, C-E-G), so if we add a 7th, we’d call this a major 7th chord (C-E-G-B).
We can extend up to a 13th in this way by progressively adding in the non-chord tones of a scale – in theory, at least.