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If you'd like a pretty thorough musicological analysis of "Satisfied" I really recommend this podcast:
Strong Songs - "Satisfied"
It's in-depth but also presented in a basic way so as to be accessible to people without any musical training or knowledge of theory. If you've ever wondered why that song is so powerful, this explains some of the musical reasons why.
For my money, the back-to-back pairing of "Helpless" and "Satisfied" is the best 1-2 punch in the entire show.
Finally had a chance to listen to this episode and I'm blown away with how much went into that song. I don't have any kind of music theory background beyond several years of piano lessons in elementary school and junior high, but you're right, he makes it very understandable. Thanks again for sharing the link!