What do you call this chord on guitar?

I don't know what it's called but do WANT to know why YOU want to know??
Is it in a song?

Is this the secret chord Leonard Cohen was talking about?

Emaj7 (which as pointed out is this chord if the B isn't the root) i think is the final chord in each verse of Under the Bridge, try it at the 7th position (highest string to lowest):

7
9
8
9
7
x (ie don't play the low string)

B6add11

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Just a question, not an argument: can it be a B6/11 without an F# note?

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Yes, the fifth note is basically never necessary. It basically beefs up the the chord (and reinforces it he tonic) but doesn’t add color.

Jazz voicings very commonly leave out the fifth. That’s how they can add so many notes. Bass player would play roots and fifths though

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It does have all of the notes to be an E major with added 7th#.

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This chord, if I am reading it correctly may be used as an alternate dominant to an A major, just like the E7

So the chord usage (and what it’s called) is a matter of context

E major seven, respell it B E G# D# or B minor add 4, but the first one makes more sense

however for whatever reason he wanted

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B (root)

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Thank you. I'm always trying to learn more about this stuff.

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It just helps me learn when I know enough to explain to someone else, with music or anything else. I took a big leap in my playing when I stopped avoiding music theory about 10 years ago. Past 2-3 It’s just a language, and people can be effective communicators without mastering a language, or even coming close to it.

I’ve committed to understanding the fundamentals in order to improve, so right there with you always trying to learn more. I’m quite sure you play better than me, and I’m definitely not deliberately busting out a B6add11 in a jam

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Dude, I’m a bass player. Dont ask me this shite.

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And I don't play a 5 string. I can only get by with the 4 that were given to me