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I'm trying to modulate from the song 7 Years (Gm) to the song Hometown Glory (Bbm). How do I write a something that joins the two?

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You could finish the G minor part on Gm! A bar or two on either Cm or just C would sound natural, as it's the cycle of fourths, followed by a bar or two on F(7) again in the cycle, to get in an unobtrusive way into Bbm.

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A "cycle of 4/5ths" progression may sound smooth, but it won't sound INTERESTING! "Up a minor 3rd" is still a cliche, but it isn't as bland as a string of secondary dominants. Sure, you could end on Gm, modify that to G7, then go Cm7, F7... But why? Does that padding really add anything? If a "jazz chord" wouldn't be out of character, there's always Gm, Gb7, F7 too. But I still think a simple direct change into the new key is possible, simplest and therefore best. – Laurence Payne Mar 12 at 14:42
@LaurencePayne - the OP didn't mention 'interesting'. Only ways of getting there. There must be hundreds of other ways, and mine has stood the test of time. What's not to like? – Tim Mar 12 at 14:47
What's not to like about uninteresting? Shame on you for even THINKING that! "Harmony exercise" thinking is about making the transition as bland as possible. We should be aiming for quite the opposite, surely? – Laurence Payne Mar 12 at 14:53
This is specifically about joining two songs. We don't know if it's for pros or amateurs. If pros, then yes, great idea. If not, then as subtle as poss. will get them there with no fuss. Not everyone needs it to be exciting and avant garde. I do, and so do you. But this isn't actually for either of us! – Tim Mar 12 at 15:02
Hardly avant garde or difficult to simply end one song, start another! But I agree, sometimes it takes experience to recognize the virtue of simplicity. – Laurence Payne Mar 12 at 15:05

Don't forget the REALLY obvious, uncontrived method. End the first song, go straight into the intro of the next. Gm has plenty in common with Bbm, it won't sound like a wrench, in fact it will sound very pleasant and uplifting. Even if there's no intro and you have to jump straight into singing the first note of the new song, you likely don't need a crutch. It's one note, followed by another note. You've been doing that all night!

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Thanks @laurence payne – Kalle Mar 12 at 20:17

You have two really obvious choices that both use the same method to get you from G minor to B♭ minor.

The first is you could write a few measures in G minor and then when ready cadence on an F7 which is the dominant chord of B♭ minor. The second thing you could do is since the relative major of G minor is B♭ major so you could play a few measures in B♭ major then use the F7 in the same way above you will convincingly go to B♭ minor.

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