My first sine wave

How do the amplitude, frequency and initial phase of a sine wave influence its shape and sound? Let us try...

5.0
0.0 10.0
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0 1000
0.00
-π π
10 ms of $a\,\sin(2 \pi f t + \phi)$

Sine wave

Open for comments

A sine wave is defined as:

$$ a \sin(2 \pi f t + \phi) $$

Its period $T$ is given by:

$$ 2 \pi f T = 2 \pi $$
$$ T = 1/f $$

The higher $f$, the shorter $T$, and the higher the pitch of the sound.

The amplitude $a$ simply changes the loudness of the sound.

The initial phase $\phi$ delays ($\phi > 0$) or advances ($\phi < 0$) the signal; $2\pi$ corresponds to a one-period shift. Such a shift cannot be heard by the human ear.