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Denon AH-MM400 (2016) vs Shure SRH840
The Denon AH-MM400 (2016) and Shure SRH840 make for good, if unremarkable, Closed-Back Headphones at their respective budgets.
With that said, while they both should serve reasonably well, you might want to look into other options at the $360 and $140 price points - it's likely that there are some better alternatives available.
If you want to learn more about the Denon AH-MM400 (2016) and the Shure SRH840, however, we prepared a summary of the information that we have:
The Denon AH-MM400 (2016) was loved by reviewers at Wirecutter (NYTimes), a highly trusted source that performs reliable in-depth testing. It did great in its "The Best Everyday Audiophile Headphones" roundup where it was named its "Top Pick", which, in itself, makes it a product worth considering.
Moving on to the Shure SRH840: it was unable to reach the very top of any roundups from sources that conduct reliable and unbiased testing. Nonetheless, it still managed to impress reviewers from a number of such sites, like Headphone Review, TrustedReviews, Head-fi, CNET, and Wirecutter (NYTimes), enough for them to include them on those lists.
To get a better idea of how they fare when compared directly to each other, we analyzed review scores of sources that tested both. Head-fi, for example, preferred the Denon AH-MM400 (2016), while TrustedReviews rated both of them the same.
We also took a look at which sources had the best things to say about them. We learned that the Denon AH-MM400 (2016) got reviewed the highest by Head-fi - it gave it a rating of 9.7, while the Shure SRH840 most impressed reviewers at Headphone Review, which gave it a score of 9.1.
Lastly, we averaged out all of the reviews scores that we could find on these two products and compared them to other Closed-Back Headphones on the market. We learned that both of them performed far better than most of their competitors - the overall review average earned by Closed-Back Headphones being 7.4 out of 10, whereas the Denon AH-MM400 (2016) and Shure SRH840 managed averages of 8.7 and 8.7 points, respectively.
Due to the difference in their prices, however, it's important to keep in mind that a direct Denon AH-MM400 (2016) vs. Shure SRH840 comparison might not be entirely fair - some sources don't take value for money into account when assigning their scores and therefore have a tendency to rate more premium products better.