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As nouns the difference between vagrant and transient is that vagrant is a person without a home or job while transient is something which is transient. As adjectives the difference between vagrant and transient is that vagrant is moving without certain direction; wandering; erratic; unsettled while transient is passing or disappearing with time; transitory.
Transient (acoustics) In acoustics and audio, a transient is a high amplitude, short-duration sound at the beginning of a waveform that occurs in phenomena such as musical sounds, noises or speech. It can sometimes contain a high degree of non-periodic components and a higher magnitude of high frequencies than the harmonic content of that sound.