Song rating

What feeds in to the rating of a song? If two bands have the same manager, all other things are equal (studio, vault etc) and all band members have level 100 skill in everything, should I expect any difference between two bands for another reason?
I'd been lead to believe that bigger bands get an advantage. I'm seeing a smaller band write and record songs with a higher rating than a band with one more member. So I think I'm missing something.
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In addition to what you have mentioned - there is the studio upgrades and the band's fame. Studio upgrades might help you improve songs rating directly. And band's fame helps with initial song's fame level, so it get's higher chart place and more sales.
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Thanks you. Does that explain why a band with one fewer member and lower fame write songs with a better rating than a band with more members and higher fame?
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