In this tutorial you will used If you have not already done so, please read the tutorials, Additive Synthesis. A SQUARE WAVE can be created using the NATURAL HARMONIC
SERIES. However, only the ODD HARMONICS ARE USED: The Fundamental, the
3rd harmonic, the 5th harmonic, the 7th harmonic, etc. In addition,
the respective amplitudes are Using a
Here is how the
Click the 'Synthesize' button to create the sound and
then click 'Play' to hear it. To see a Figure 3: Graph of a Square Wave created from 6 Sine Waves Here's a 3-D SPECTRUM of this synthesized SQUARE WAVE for 2 seconds with a FUNDAMENTAL and 5 OVERTONES: Figure 4: Spectrum of a Square Wave created from 6 Sine Waves. Compare with the Spectrum of a REAL Square Wave. The fundamental was 100 Hz; 2nd partial was 300 Hz; 3rd partial = 500 Hz; 5 partial = 700 Hz, etc. This graph has the frequencies marked in kHz, so 100 Hz = 0.1. Here's a 3-D SPECTRUM of a 'real' SQUARE WAVE for 2 seconds. Note that the SPECTRUM is much more complex, showing many more OVERTONES: \ Figure 5: Spectrum of a 'real' Square Wave showing many more harmonics (partials)
Try adding more Oscillators to this Square Wave patch to extend its spectrum. |