Fourier Series: Triangular


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:

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