Comparing three (or more) dictionaries and finding a match if at least two are equal

I'm faced with an issue similar to this one. However, that SO question is strictly focused on three variables. I am looking for a solution that would work for more than three as well.

Here's my code for two variables:

for track_a in collection_a:
    for track_b in collection_b:

        t1 = track_a["tempo"]
        t2 = track_b["tempo"]
        k1 = track_a["key"]
        k2 = track_b["key"]
        m1 = track_a["mode"]
        m2 = track_b["mode"]

        if (t1 == t2) and (k1 == k2) and (m1 == m2):
            collection_c.append((track_a, track_b))

Here's my solution for three variables:

for track_a in collection_a:
    for track_b in collection_b:
        for track_c in collection_c:

            t1 = track_a["tempo"]
            t2 = track_b["tempo"]
            t3 = track_c["tempo"]
            k1 = track_a["key"]
            k2 = track_b["key"]
            k3 = track_c["key"]
            m1 = track_a["mode"]
            m2 = track_b["mode"]
            m3 = track_c["mode"]

            a = (t1 == t2) and (k1 == k2) and (m1 == m2)
            b = (t2 == t3) and (k2 == k3) and (m2 == m3)
            c = (t3 == t1) and (k3 == k1) and (m3 == m1)

            if a: collection_c.append((track_a, track_b))
            if b: collection_c.append((track_b, track_c))
            if c: collection_c.append((track_c, track_a))

Obviously, this solution is not scalable and slow. Considering the fact I'd have to check all of them, I doubt it will ever be fast since we have to iterate over all possible combinations, but could I at least make it scale? (Up to at least 5). Also, if possible, allow more comparison characteristics to be added later.