OK... first off..welcome..... next... all teh keys on a piano OR a midi keyboard already have set frequencies assigned to them. You don't need to map anything..it's already there.
I got this chart and printed it out....and taped it to my wall by the DAW so I can refer to it if I need it..... besides.... it has pretty colors to look at.
Pretty frequency chart The freqs you mentioned are all in the midrange and a pretty narrow band at that..... my first thought was..... you're kidding right? but don't let my brain wanderings sway you from your goal.
Using sine, square and saw tooth waves will sound pretty boring...... no color in the sound.... you said: "
The "song" using only these specific ranges of frequencies, should be continuous, engaging, soulful and inspiring. Similar to the scene when the aliens first land in Close Encounters of the Third Kind."
I saw that movie...heard the tones...and did not think of it the way you describe it...... however..... I'd be interested to hear it after you get it done.
Now go... create and inspire..... and then post it in the songs forum.