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Piano concerto

in Piano

I am not a great composer of any kind, but I thought that I could try my hands on a piano concerto and currently I have a few questions.

1. How do chords really work? When the piano has the melody, how should I construct an accompaniment following it?

2. How am I supposed to write condensed arpeggios? If I just use chords it doesn't sound right. If I use intervals I don't know which one to use. Is it a combination of both or is it simply one? (If it's a bit confusing look at Rachmaninoff's piano concerto no 2's 1st page)

3. How should I go on attempting harmonies? I have a theme and melody on the piano and strings most of the time, but how should I add pieces to it? I could just use chords in accordance with the melody which I have done. I could also another line of melody making a bit of counterpoint, but anything else?

I've been studying Tchaikovsky's 1st for my own piano concerto. There's a lot of things he wrote that I don't quite understand. So if you have any more suggestions than my questions, feel free to type it up.