Recently, I had a student ask me to offer some techniques for using the right hand. Usually, it's the left hand that causes the most difficulty but I had to think about it because up till then, I really did not have any "techniques" for the right hand.
I thought about it and tried to think about what I do as far as improvising with the right hand goes. Basically there are really only a few things you can do. You can:
1. Play single note runs - this is where you just play one note at a time
2. Play arpeggios - broken chords up and down the keyboard
3. Play chords - using 3rds or sixths or any combination of the chord-scale relationship
Different genres of music use the above techniques in different ways. New Age piano usually relies on a softer sound although there is a "minimalist" style that uses hard sounding chords in the right hand ala George Winston.
You see, the problem is that you have to know the numerical relationship between the root note and the rest of the notes that make up the chord to "know what you're doing" on the keyboard.
A book I highly recommend, although it may not be on the market anymore is Alan Swain's Four-way Keyboard system. It's not an easy instruction book, but it is one of the best for how chords are constructed - thus allowing you to know when you are playing 3rds or 4ths and so on. Not necessary for making music, but nice to know anyway.
Edward Weiss is a pianist/composer and webmaster of Quiescence Music's online piano lessons. He has been helping students learn how to play piano in the New Age style for over 14 years and works with students in private, in groups, and now over the internet. Stop by now at http://www.quiescencemusic.com/piano_lessons.html for a FREE piano lesson!