I watched part of the video without the sound because... Shhhh…. I'm at work...
The 'scope is just a tool. It's not part of his lighting effect. Most of us are hobbyists and we don't own a 'scope. I use them at work but I don't have one at home. ...I brought a hobby-project to work once so I could use one. I've lusted for one, but I've never "needed one" badly enough to spend the money and I wouldn't use it that often so it would mostly be taking-up space, and I've got too much "junk" taking-up space already! (And that one time I brought something from home, it wasn't something I needed to do... It was just something that was interesting to check.)
So... Where are you at with your project? Do you have some LED strips and an Arduino? And, can you "program" some light-patterns (without the sound)? That might be a good place to start.
When is this party?
Or to get you started, when I get home this evening (California time) I'll post some code for "The worlds simplest effect". It's a "flicker effect" that flashes the LED (or light) on when the signal is above average and off when it's below average.
I've done some lighting effects in the past but the computer I was using for that crashed and it wasn't backed up, so I lost all of that code (Of course, the effects still run.)
But, I've been working on some new ideas and I started over again with the "simplest effect".
It's not that interesting so I classify it as a "special effect". It's not a "main effect" that you want to "run all night". But, I do use a real version of it with some variation and 2 floodlights (controlled with solid state relays). For example, sometimes the 2 floods operate together. Sometimes it's inverted so the lights flicker-on when the sound is below average, and sometimes one lamp is inverted so they operate oppositely with one coming-on whenever the other goes-off.
With your LED strips you could very-simply do some color variations or make a "wave effect", etc, just using that above/below average concept.
Or, instead of just above/below average you can make multiple thresholds and make a "VU meter" effect. ...That's another of my older effects. My VU meter effect (and all of my effects) use the same-basic moving-average concept for lots of lighting-action with quiet or loud songs and with volume changes.