Sorta... I think it has to do with the use of "open tuning", I think Page is playing 6 string perhaps tuned to DADGAD (which is the tuning used on Zeppelin's Kashmir)... not sure what Thurston is tuned to for 12-string on that recording, but he's recently been using DDAF#AD (like on the Eternal).
SO the likely 2 tunings DADGAD and DDAF#AD are pretty similar, except Thurston uses unison on the low D thus sacrificing the next D and tuning down a half step on the G to F#...
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