There are several software packages that allow one to write music for several instruments at once; the programs will then play back what you've written. The end result has a bit of a sythesized sound to it (probably because I'm still using old-school software), but it's a lot of fun to mess around with. I've been enjoying playing around with one of these programs (Noteworthy Composer).
Here's a lullaby I wrote: Waipio Valley lullaby
Below are two experimental songs. Each, at some point, has three parts playing, where (A) each part has a different time signature; (2) each has a different key signature; but (iii) there is no dissonance.
The first of these songs is Shakurina. After a brief percussion intro, there's a melody in 5/4 on top of some reasonably normal accompaniment for about 30 seconds. For the next 30 seconds, the same melody plays on top of some pretty random accompaniment. Then for the last 30 seconds, the same melody continues to play, but now with two other melodies along with it, one in 3/4, one in 4/4, all three in different keys (A flat, C, and E), all working together to avoid dissonance (no seconds, no sevenths, no tritones, etc.).
The second song along these lines is Three. It consists of three melodies that I wrote separately, then modified the parts to satisfy (A), (2), and (iii) above. First there's a harmonica, then a bass comes in, then a xylophone comes in.
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