This chapter discusses the implementation and benefits of using linear FM synthesis in the analogue domain. By combining and manipulating a sine/cosine oscillator with a linear FM input to create rich analogue waveforms consisting of both odd and even harmonics. To implement linear FM synthesis on the Hordijk system use a crossfade mixer to crossfade between a sine and cosine oscillator with incremental Chebyshev functions of first order and second order, etc. The output then goes into a modulation index correction and the output is feed back into the input. By modulating the levels of each component you can shape any spectrum, without detuning, and the waveform stays constant over a very wide frequency range. Using parallel processing in the analogue domain is an economical way of working with sound without mathematical limitations found in digital systems. The limitation of bandwidth in the digital domain is caused by the Nyquist theorem.