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A phase shift audio oscillator is identified by the ladder network consisting of resistors and capacitors.
A phase-shift oscillator is a linear electronic oscillator circuit that produces a sine wave output.
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An oscillator has a tuned circuit (inductance+capacitance) to determine the frequency. When the inductor is tapped to give the required phase-shift for oscillation it is a Hartley oscillator. When the capacitance is tapped it is a Colpitts.
There are many phase shift oscillator circuits on the internet. Google search, `phase+shift+oscillator+schematics` and `phase+shift+oscillator+diagrams`. Generally, if you want to change the phase shift characteristics, you'll need to substitute some fixed resistors with variable resistors and depending where they're placed, you can either change the operating frequency or the waveform characteristics.
RC phase shift oscillators are used for musical instruments, oscillators, voice synthesis, and GPS units. They work at all audio frequencies.