https://youtu.be/b6xeOLjeKs0?si=sDBTe7CCKxoT5-k5
https://youtu.be/ev0Ay1m4MWs?si=OFprAycQpipTXaTP
Long story short they turn songs into digital fingerprints, where it can be stored in a tiny way. When you start recording you’re making a fingerprint as well. Then it just starts testing yours against its database.
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I want to say I had both apps on my iPhone 3G or 4 back in the day. I recall that early on, Shazam returned results more often than soundhound.
I only ever used SoundHound and never had any failure. Shrug in fact once it found a song my son couldn’t using Shazam. I imagine that could happen either way sometimes I’m just stating my experience. I don’t think either of them are vastly superior to the other just I thought SH was out there earlier. But I could be wrong.