Fourier Series: Triangular
Formula
The triangular wave is a symmetric waveform with a stronger decrease towards higher partials than square wave or sawtooth. Its Fourier series has the following characteristics:
only odd harmonics
altering sign
(squared)
\begin{equation*}
\displaystyle X(t) = \frac{8}{\pi^2} \sum\limits_{i=0}^{N} (-1)^{(i)} \frac{\sin(2 \pi (2i +1) f\ t)}{(2i +1)^2}
\end{equation*}
Interactive Example
Pitch (Hz):
Number of Harmonics:
Output Gain:
Time Domain:
Frequency Domain: