You are talking about a fundamental concept in audio synthesis: control versus audio signals.
Control signals are not meant to be heard. Audio signals are. When you are using simple waveforms such as sine, square, triangle waves, you can use them as either control or audio signals with predictable results.
In Operator you have 4 oscillators, and those oscillators can be connected in different ways. If you connect the 4 oscillators in parallel, then you hear a mixture of simple waveforms; all four are acting as audio signals. If you start connecting oscillators in series, you are able to hear the result of, say, a sine wave controlling the frequency of the next oscillator. Things start to sound interesting when you connect oscillators in series, as some of the oscillators are now control signals.
From the Live PDF manual, page 408: "[Operator] utilizes four multi-waveform oscillators that can modulate each other’s frequencies, creating very complex timbres from a limited number of objects."
The final thing to be aware of is the frequency rates: suppose that you connect 2 oscillators in series and listen to the output of the last one. As you control the frequency of first (control) oscillator, you will notice that low Hertz values correspond to gradual changes in the resulting sound's frequency. This is also known as vibrato. As you speed up the vibrato, there is a point at which the control oscillator is going fast enough that it ceases to be perceived as rhythm, and is rather perceived as altering the frequencies within the resulting sound. These sounds are called sidebands.
All this is covered in a basic synthesis course, so I suggest you do some reading.