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Here are some links, in date sequence. There’s a short summary before each link.
IMHO, the general conclusion seems to be that silence is best.
If you can’t have silence, music is better than “noise”. (The last recorded instance of silence on this planet was in Iceland in 2008. That was the year the country was declared bankrupt. Could happen to anyone.)
Mozart seems to be the music most frequently mentioned. Of course, maybe only one study suggests Mozart, and all the other thousands of articles are simply referring to that same article.
Music with vocals should be avoided. Because the brain is constantly - albeit subconsciously - trying to determine the meaning of the vocals.
7 Apr 2010 (summarizes about 4 score and ten references). The general conclusion seems to be that silence is best - but music is better than “noise”:
http://onlinelibrary.wiley.com/doi/10.1002/acp.1692/epdf?referrer_access_token=1oGGnjAJPQZuc1dLD5Ty0U4keas67K9QMdWULTWMo8NO4CFTq7aOrRksg8lQh8Ypm2cpV9JVYgTtLqNAz3vqfmMfviWPaVIgDQyverhL4jhvR8s4OVQlSCttc0qXqrXOGBdQFoOBoROl_lH35agDe6LFLzNM7Cax2aMLFCnK8KpBoDwJaLCq0AImrLeGJLCYhrVHHXgWw6BhoKYhAmZF0hP3k5yvThewNREmiLwfwUt9Lp3-ay_sX3ouYtZosM7CO2QkGF5EGLWyL3SW8WLi6YxXDG2Kcn_4D9VA8AchFrsBadR8s1deZsqjNx4qzNoU
In the above link, if you hover your mouse somewhere between the rightmost text boundary and the scrollbar, you are presented with another dozen links.
8 Oct 2012. This article has 1 link, which in turn has 5 links, all saying different things - as usual. So you pays your money and you takes your choice:
http://www.mindthesciencegap.org/2012/10/08/does-music-help-you-study/
1 Dec 2013 (1 reference). I think it’s saying that if you like the music, it helps; and if you don’t, it doesn’t. (Or maybe it’s the other way round.):
There are later examples of research, but IMHO they are outwith the objective specified by the OP (“supporting memorization”). For example, this link refers to the memorization of faces - which I don’t think will interest the OP:
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4606564/
And yet again, Mozart is mentioned in that link 
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