Three conditions have to match at a loop splice, not one — and the loop has to be a whole number of periods long or the pitch jumps. The craft half of sampling, worked with real numbers.
A sampler has to make a recording of finite length sustain for as long as somebody holds a key. The technique is looping, the technique was invented to save memory, and it survives now that memory is free because it turns out to solve the musical problem as well as the storage one.
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