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Please, try playing your harmonic ideas with real sounds.

Here's some things to try:

- How bad or good do two synthesized violins sound together at 800 and 900 hertz? Think about them as overtones: Does adding a tone at 100 hertz resolve the sound? Think of them as undertones: Does adding a new tone at 7200 hertz resolve that sound?

- Does the instrument change the harmony? What happens to harmony when the instrument is a clarinet? What happens to harmony when the instrument is a sine wave? What happens to harmony when the instrument is a tuned tympani?

- Try to play together the overtone series, for example, 1000 hz, 2000 hz, 3000 hz, ... How does that sound?

- Try to play together the undertone series, for example, 2520 hz, 1260 hz, 840 hz, 630 hz, 504 hz, ... How does that sound?




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