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What time signature is this?

I'm learning an original for a singer songwriter where I have the acoustic guitar recording. In each phrase in the verse, I hear seven main pulses where each pulse is divisible by 3. Is that just a fast 3/4 with 7 bar sections (would be about 158bpm)? Seven bar sections is kind of odd so I started to think it might be a slow 7/4, but then there would be chord changes on every beat for the first four beats and that seems weird.

I know it would be easier for you to hear but I wouldn't want to post the recording without permission. Let me know if you have any ideas. Thanks!
 
It’s not 21/8.

Is it quarter note = 158? That’s not a fast waltz and with original singer/songwriter stuff it makes more sense that they did indeed write a 7 bar phrase, particularly if they sing/write a melody before they put a lyric to it. But all of that is moot, you’re really just trying to play along with an existing track and as long as they play it the same way. Unless you’re musical director writing parts for the other musicians?
 
It’s not 21/8.
Is it quarter note = 158? That’s not a fast waltz and with original singer/songwriter stuff it makes more sense that they did indeed write a 7 bar phrase, particularly if they sing/write a melody before they put a lyric to it.
I think you are probably right. Attached is a sample of just the guitar if you want to take a listen.

Figuring this out isn't necessary. I'm just kind of curious for my own learning. Thanks!

 
A songwriter I recently worked with writes songs with added beats—could be one, two, or three—at the ends of phrases. The band accommodates her (and it usually does work pretty well), even though the root cause has to do with how she's learned to play guitar. She does the same thing with some cover tunes, as if ending a verse and then needing to wind up to start the next one. It's like a floating one. It's consistent, so the band can learn the quirks and get through things. Let's call it iconoclastic.
 
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The way I hear it is like this: 2 patterns of 7 bars in 3/8. The first 2 bars are more like a 6/8 follow by 5 bars of 3/8 then repeat. Or you can group the 5 bars into 2 bars of 6/8 and add a 3/8 at the end. It might be easier to feel it like that. 3 bars of 6 then a 3.
 
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The way I hear it is like this: 2 patterns of 7 bars in 3/8. The first 2 bars are more like a 6/8 follow by 5 bars of 3/8 then repeat. Or you can group the 5 bars into 2 bars of 6/8 and add a 3/8 at the end. I might be easier to feel it like that. 3 bars of 6 then a 3.
This is pretty much how it sounds to me too, except that I'd use /4 rather than /8. Po-tay-to, po-tah-to. I don't think the 4-4-4-2 schema works--at least given the information we have--because it ignores the fact that the sequence repeats exactly halfway through, inplying that we have two equal parts rather than four unequal ones.

But it's possible that the three feeling could be a counterrhythm. More of the vocal line might be able to clarify that ... or not.
 
It’s whatever time signature you choose to best represent the rhythm. If I was to transcribe this, I might choose alternating bars of 12/8 and 9/8. That would work for the short sample posted here. But time signatures aren’t really “correct” - only convenient ((or not).
 
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