Combinations of Basic Tones

Graphs two periodic functions with variations in amplitude, frequency, and phase shift, showing the combined function and playing a tone corresponding to the combined function.
How to use   ||   Examples   ||   Other Notes


How to use
To change the values of the amplitude and frequency (for both blue and red graphs) and phase shift (for red graph only), use the sliders for each value.

Click the "Clear" button to reset all values to the default values, indicated as centered in the sliders.

To play a tone corresponding to the green graph (the sum of the blue and red graphs) and hear the effects of the values on the tone, click the "Play Sound" button.


Examples

Other Notes
The default values for frequency correspond to a pitch of 523.3Hz, approximately high C (one octave above middle C) based on the A 440 standard, for both blue and red graphs.

For the amplitude and frequency sliders, a change in value as indicated by one tick mark difference corresponds to changing the value by a factor of 2 (to right one tick mark doubles value, to left one tick mark halves value).

Since phase shifts only make a difference when changing the phase of one tone relative to another, the blue graph does not include a phase shift slider. The phase shift slider for the red graph can shift the phase of the graph by one-half period in each direction.