If you want to skip learning music theory....
Get an Android program called EASYBAND.
I used to be a Chordbot fan but EasyBand is a bit better. You can resize the notes. Watch the little vid that goes with it, it's only about 5 minutes long.
Export what you play to midi, import it into your DAW, slap some instruments on that midi channel and it's a wrap.
BiggRome is for the kids.
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I'm also a fan of Keychords, Caustic 2, PChords, Electrum, J4L 4 track
For iOS, I have iMaschine, ProChords, Chordbot, Fire Studio, Fire Recorder, some more stuff. I only use iMaschine, I make beats on the spinning bike at the gym so I don't get bored as hell.
If you have an Android tablet and go to the gym, get TUBEMATE, you can download a bunch of Youtube vids before you go and you won't get "bored as hell" because they have the Kardashians on every other TV in the gym for some reason. I got a Lenovo A1 because of the front facing camera. It's not the best tablet but it has more features than the others. My wife and daughter have Nook Tablets, I'd take my Lenovo tablet over a Nook or a Kindle Fire.
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Google's Android smartphone market share quadruples Apple's iOS - Aug. 8, 2012