On many synths, single cycle waves can be loaded as oscillators. 3osc, toxic , sytrus, surge, z3ta , serum etc.. I think it loops the wave. They generally have options for free running oscillators, retrigger or phase position.
I too am not really sure about what exactly is going on under the hood though. Harmor does single cycle waves and also does resynthesis, where it breaks down an audio sample like a drum hit , into single cycle waves, which You can then manipulate in different ways, including treat those waves like You would on an additive synth, modifying individual harmonics etc...You can also change playback speed , direction etc.. Kinda like granular synthesis , but not exactly. Morphine also does resynthesis, but not as well as harmor.
Maybe somebody else here knows about the difference between these types of oscillators.
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