Overtone Demonstration
Loading the math board and drawing, please wait…
This example demonstrates the principle of overtones. It involves core mathematical concepts such as trigonometric functions and function graphs. Using GeoGebra commands like A_1, A_2, A_3, A_g, g, etc., different overtone waveforms can be constructed. Suitable for high school students learning trigonometric functions and function graphs.
GeoGebra Commands & Parameters
Numeric A_1(0)Numeric A_2(0.22)Numeric A_3(0.41)Numeric A_g(0.9)g(x) = (A_g * (sin((((440 * 2) * π) * x)) + (A_1 * sin((((880 * 2) * π) * x))) + (A_2 * sin((((1320 * 2) * π) * x))) + (A_3 * sin((((1760 * 2) * π) * x)))) / (1 + A_1 + A_2 + A_3))